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arxiv: 2503.07712 · v2 · submitted 2025-03-10 · ❄️ cond-mat.str-el · cond-mat.mes-hall· cond-mat.quant-gas

Purely electronic model for exciton-polaron formation in moir\'e heterostructures

Fabian Pichler , Mohammad Hafezi , Michael Knap This is my paper

Pith reviewed 2026-05-23 00:05 UTC · model grok-4.3

classification ❄️ cond-mat.str-el cond-mat.mes-hallcond-mat.quant-gas
keywords exciton-polaronmoiré heterostructurepolaron mass renormalizationcorrelated insulatorelectronic modelHall measurementelectron density
0
0 comments X

The pith

A purely electronic model of excitons as electron-hole pairs captures polaron formation and mass renormalization in moiré heterostructures.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a model limited to electronic degrees of freedom that treats excitons as bound electron-hole states instead of separate bosonic particles. This produces a strong dependence of the polaron mass on electron density, with marked changes near correlated insulators that match existing transport data. The same framework forecasts that the effective mass will reverse sign as density increases, a feature that Hall-type measurements could detect. The approach supplies a single electronic framework for studying how excitons couple to correlated states.

Core claim

Our purely electronic model, which describes excitons as electron-hole bound states, reveals pronounced renormalization of the polaron mass as a function of electron density near correlated insulators and predicts an observable sign change in the effective polaron mass with increasing electron density.

What carries the argument

Purely electronic model that represents excitons as electron-hole bound states and computes their interaction with the surrounding electron gas.

If this is right

  • Polaron mass undergoes pronounced renormalization with electron density, especially near correlated insulators.
  • Effective polaron mass reverses sign upon increasing electron density.
  • The predicted sign reversal is measurable in Hall-type experiments.
  • The model supplies a unified electronic framework for exciton-polaron formation in correlated states.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Bosonic exciton fields may prove unnecessary for capturing the reported mass effects.
  • The electronic-only route could be tested in other moiré systems that host quasiparticles.
  • Density-dependent mass sign changes may alter how transport data are interpreted in similar lattices.

Load-bearing premise

That a description using only electronic degrees of freedom, without separate bosonic exciton fields, is sufficient to obtain the formation, mass renormalization, and sign change of exciton-polarons.

What would settle it

Absence of a sign change in the effective polaron mass as electron density is increased in a Hall-type measurement would falsify the central prediction.

Figures

Figures reproduced from arXiv: 2503.07712 by Fabian Pichler, Michael Knap, Mohammad Hafezi.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (a). As the charge gap increases and the crystal order becomes more established, the spectral weight of the AP increases; see [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: (b). Relatively, the difference in mobility between R- and H-stacking is more substantial in the low-density regime. Another striking effect stemming from the non￾trivial structure of the exciton wavefunction is a sign change in the effective polaron mass at a critical filling ν0. At low densities, the Fermi surface is close to the band minimum with positive curvature, resulting in a positive exciton mass.… view at source ↗
read the original abstract

Understanding interactions between excitons and correlated electronic states presents a fundamental challenge in quantum many-body physics. Here, we introduce a purely electronic model for the formation of exciton-polarons in moir\'e lattices. Unlike conventional approaches that treat excitons as tightly-bound bosonic particles, our model considers only electronic degrees of freedom, describing excitons as electron-hole bound states. Our findings reveal a pronounced renormalization of the polaron mass as a function of electron density, particularly near correlated insulators, consistent with recent transport experiments. Additionally, we predict an observable sign change in the effective polaron mass when increasing the electron density that can be measured in Hall-type experiments. Our purely electronic model provides a unified framework to investigate the formation and renormalization of exciton-polarons in correlated states.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 2 minor

Summary. The manuscript introduces a purely electronic model for exciton-polaron formation in moiré heterostructures, treating excitons as electron-hole bound states within an electronic Hamiltonian rather than as bosonic particles. It reports a pronounced renormalization of the polaron mass as a function of electron density, particularly near correlated insulators, and predicts an observable sign change in the effective polaron mass upon increasing electron density that is measurable in Hall-type experiments. The model is presented as providing a unified framework for such phenomena in correlated states.

Significance. If the central claims hold, the work offers a microscopic, parameter-free derivation within the electronic subspace that avoids auxiliary bosonic exciton fields, yielding falsifiable predictions for transport and Hall measurements. This is a strength given the consistency claimed with recent experiments on mass renormalization near correlated insulators. The approach could unify descriptions of exciton-polarons in moiré systems if the electronic-only restriction proves sufficient.

minor comments (2)
  1. [Abstract] The abstract states consistency with 'recent transport experiments' but does not cite specific references; adding these (e.g., in the introduction or results section) would strengthen the connection to data.
  2. [Introduction or Methods] Notation for the effective polaron mass (e.g., m* or equivalent) should be defined explicitly at first use in the main text, with a clear link to the equations of motion or effective-mass formula used for the density-dependent renormalization.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our manuscript and the recommendation for minor revision. No specific major comments were raised in the report.

Circularity Check

0 steps flagged

Derivation self-contained within electronic model

full rationale

The paper introduces a purely electronic Hamiltonian treating excitons as electron-hole bound states and obtains the density-dependent polaron mass renormalization (including sign change) by solving the model's equations of motion or effective-mass expressions on the moiré lattice. No load-bearing self-citations, self-definitional steps, or fitted inputs renamed as predictions appear in the derivation chain; the results remain parameter-free within the stated subspace and externally falsifiable via Hall measurements.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review prevents identification of specific free parameters, axioms, or invented entities; no equations or methods section available to audit.

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Reference graph

Works this paper leans on

69 extracted references · 69 canonical work pages

  1. [1]

    E. C. Regan, D. Wang, C. Jin, M. I. Bakti Utama, B. Gao, X. Wei, S. Zhao, W. Zhao, Z. Zhang, K. Yu- migeta, M. Blei, J. D. Carlstr¨ om, K. Watanabe, T. Taniguchi, S. Tongay, M. Crommie, A. Zettl, and F. Wang, Mott and generalized Wigner crystal states in WSe2/WS2 moir´ e superlattices, Nature579, 359 (2020)

    work page 2020

  2. [2]

    Shimazaki, I

    Y. Shimazaki, I. Schwartz, K. Watanabe, T. Taniguchi, M. Kroner, and A. Imamo˘ glu, Strongly correlated elec- trons and hybrid excitons in a moir´ e heterostructure, Na- ture 580, 472 (2020)

    work page 2020

  3. [3]

    Y. Xu, S. Liu, D. A. Rhodes, K. Watanabe, T. Taniguchi, J. Hone, V. Elser, K. F. Mak, and J. Shan, Correlated in- sulating states at fractional fillings of moir´ e superlattices, Nature 587, 214 (2020)

    work page 2020

  4. [4]

    Shimazaki, C

    Y. Shimazaki, C. Kuhlenkamp, I. Schwartz, T. Smolen- ski, K. Watanabe, T. Taniguchi, M. Kroner, R. Schmidt, M. Knap, and A. ˙Imamo˘ glu, Optical signatures of charge order in a Mott-Wigner state, Phys. Rev. X 11, 021027 (2021)

    work page 2021

  5. [5]

    Smole´ nski, P

    T. Smole´ nski, P. E. Dolgirev, C. Kuhlenkamp, A. Pop- ert, Y. Shimazaki, P. Back, M. Kroner, K. Watanabe, T. Taniguchi, I. Esterlis, E. Demler, and A. ˙Imamo˘ glu, Observation of Wigner crystal of electrons in a monolayer semiconductor, Nature 595, 53 (2021)

    work page 2021

  6. [6]

    Ciorciaro, T

    L. Ciorciaro, T. Smole´ nski, I. Morera, N. Kiper, S. Hies- tand, M. Kroner, Y. Zhang, K. Watanabe, T. Taniguchi, E. Demler, and A. ˙Imamo˘ glu, Kinetic magnetism in tri- angular moir´ e materials, Nature623, 509 (2023)

    work page 2023

  7. [7]

    Y. Tang, K. Su, L. Li, Y. Xu, S. Liu, K. Watanabe, T. Taniguchi, J. Hone, C.-M. Jian, C. Xu, K. F. Mak, and J. Shan, Evidence of frustrated magnetic interactions in a Wigner–Mott insulator, Nat. Nanotechnol. 18, 233 (2023)

    work page 2023

  8. [8]

    J. Gu, L. Ma, S. Liu, K. Watanabe, T. Taniguchi, J. C. Hone, J. Shan, and K. F. Mak, Dipolar Excitonic Insu- lator in a Moir´ e Lattice, Nature Physics18, 395 (2022)

    work page 2022

  9. [9]

    Zhang, E

    Z. Zhang, E. C. Regan, D. Wang, W. Zhao, S. Wang, M. Sayyad, K. Yumigeta, K. Watanabe, T. Taniguchi, S. Tongay, M. Crommie, A. Zettl, M. P. Zaletel, and F. Wang, Correlated Interlayer Exciton Insulator in Het- erostructures of Monolayer WSe 2 and Moir´ e WS2/WSe2 , Nature Physics 18, 1214 (2022)

    work page 2022

  10. [10]

    A. B. Mhenni, W. Kadow, M. J. Metelski, A. O. Paulus, A. Dijkstra, K. Watanabe, T. Taniguchi, S. A. Tongay, M. Barbone, J. J. Finley, M. Knap, and N. P. Wilson, Gate-tunable Bose-Fermi mixture in a strongly correlated moir´ e bilayer electron system, arXiv:2410.07308 (2024)

    work page arXiv 2024

  11. [11]

    Rivera, J

    P. Rivera, J. R. Schaibley, A. M. Jones, J. S. Ross, S. Wu, G. Aivazian, P. Klement, K. Seyler, G. Clark, N. J. Ghimire, J. Yan, D. G. Mandrus, W. Yao, and X. Xu, Observation of long-lived interlayer excitons in monolayer MoSe2–WSe2 heterostructures, Nature Communications 6, 6242 (2015)

    work page 2015

  12. [12]

    K. Tran, G. Moody, F. Wu, X. Lu, J. Choi, K. Kim, A. Rai, D. A. Sanchez, J. Quan, A. Singh, J. Emb- ley, A. Zepeda, M. Campbell, T. Autry, T. Taniguchi, K. Watanabe, N. Lu, S. K. Banerjee, K. L. Silverman, S. Kim, E. Tutuc, L. Yang, A. H. MacDonald, and X. Li, Evidence for moir´ e excitons in van der Waals heterostruc- tures, Nature 567, 71 (2019)

    work page 2019

  13. [13]

    K. L. Seyler, P. Rivera, H. Yu, N. P. Wilson, E. L. Ray, D. G. Mandrus, J. Yan, W. Yao, and X. Xu, Signatures of moir´ e-trapped valley excitons in MoSe2/WSe2 hetero- bilayers, Nature 567, 66 (2019)

    work page 2019

  14. [14]

    C. Jin, E. C. Regan, A. Yan, M. Iqbal Bakti Utama, D. Wang, S. Zhao, Y. Qin, S. Yang, Z. Zheng, S. Shi, K. Watanabe, T. Taniguchi, S. Tongay, A. Zettl, and F. Wang, Observation of moir´ e excitons in WSe 2/WS2 heterostructure superlattices, Nature 567, 76 (2019)

    work page 2019

  15. [15]

    H. Baek, M. Brotons-Gisbert, Z. X. Koong, A. Campbell, M. Rambach, K. Watanabe, T. Taniguchi, and B. D. Ger- ardot, Highly energy-tunable quantum light from moir´ e- trapped excitons, Science Advances 6, eaba8526 (2020)

    work page 2020

  16. [16]

    S. Miao, T. Wang, X. Huang, D. Chen, Z. Lian, C. Wang, M. Blei, T. Taniguchi, K. Watanabe, S. Tongay, Z. Wang, D. Xiao, Y.-T. Cui, and S.-F. Shi, Strong interaction between interlayer excitons and correlated electrons in WSe2/WS2 moir´ e superlattice, Nature Communications 6 12, 3608 (2021)

    work page 2021

  17. [17]

    X. Wang, J. Zhu, K. L. Seyler, P. Rivera, H. Zheng, Y. Wang, M. He, T. Taniguchi, K. Watanabe, J. Yan, D. G. Mandrus, D. R. Gamelin, W. Yao, and X. Xu, Moir´ e trions in MoSe2/WSe2 heterobilayers, Nature Nan- otechnology 16, 1208 (2021)

    work page 2021

  18. [18]

    H. Park, J. Zhu, X. Wang, Y. Wang, W. Holtzmann, T. Taniguchi, K. Watanabe, J. Yan, L. Fu, T. Cao, D. Xiao, D. R. Gamelin, H. Yu, W. Yao, and X. Xu, Dipole ladders with large Hubbard interaction in a moir´ e exciton lattice, Nature Physics 19, 1286 (2023)

    work page 2023

  19. [19]

    F. Kai, X. Wang, Y. Xie, Y. Yang, K. Watanabe, T. Taniguchi, H. Yu, W. Yao, and X. Cui, Distinct moir´ e Exciton dynamics in WS2/ WSe2 heterostructure, Quan- tum Frontiers 4, 2 (2025)

    work page 2025

  20. [20]

    Kiper, H

    N. Kiper, H. S. Adlong, A. Christianen, M. Kroner, K. Watanabe, T. Taniguchi, and A. ˙Imamo˘ glu, Confined Trions and Mott-Wigner States in a Purely Electrostatic Moir´ e Potential, Phys. Rev. X15, 011049 (2025)

    work page 2025

  21. [21]

    L. M. Devenica, Z. Hadjri, J. Kumlin, R. Li, W. Li, D. S. Forrero, V. Vento, N. Ubrig, S. Liu, J. Hone, K. Watan- abe, T. Taniguchi, T. Pohl, and A. Srivastava, Signatures of collective photon emission and ferroelectric ordering of excitons near their Mott insulating state in a WSe2/WS2 heterobilayer, arXiv:2502.19490 (2025)

    work page arXiv 2025

  22. [22]

    Choi, W.-T

    J. Choi, W.-T. Hsu, L.-S. Lu, L. Sun, H.-Y. Cheng, M.-H. Lee, J. Quan, K. Tran, C.-Y. Wang, M. Staab, K. Jones, T. Taniguchi, K. Watanabe, M.-W. Chu, S. Gwo, S. Kim, C.-K. Shih, X. Li, and W.-H. Chang, Moir´ e potential im- pedes interlayer exciton diffusion in van der Waals het- erostructures, Science Advances 6, eaba8866 (2020)

    work page 2020

  23. [23]

    L. Yuan, B. Zheng, J. Kunstmann, T. Brumme, A. B. Kuc, C. Ma, S. Deng, D. Blach, A. Pan, and L. Huang, Twist-angle-dependent interlayer exciton diffusion in WS2–WSe2 heterobilayers, Nature Materials 19, 617 (2020)

    work page 2020

  24. [24]

    Malic, R

    E. Malic, R. Perea-Causin, R. Rosati, D. Erkensten, and S. Brem, Exciton transport in atomically thin semicon- ductors, Nature Communications 14, 3430 (2023)

    work page 2023

  25. [25]

    Rossi, J

    A. Rossi, J. Zipfel, I. Maity, M. Lorenzon, M. Dandu, E. Barr´ e, L. Francaviglia, E. C. Regan, Z. Zhang, J. H. Nie, E. S. Barnard, K. Watanabe, T. Taniguchi, E. Rotenberg, F. Wang, J. Lischner, A. Raja, and A. Weber-Bargioni, Anomalous Interlayer Exciton Dif- fusion in WS 2/WSe2 Moir´ e Heterostructure, ACS Nano 18, 18202 (2024)

    work page 2024

  26. [26]

    Multiple polaron quasiparticles with dipolar fermions in a bilayer geometry,

    P. Upadhyay, D. G. Su´ arez-Forero, T.-S. Huang, M. J. Mehrabad, B. Gao, S. Sarkar, D. Session, K. Watanabe, T. Taniguchi, Y. Zhou, M. Knap, and M. Hafezi, Giant enhancement of exciton diffusion near an electronic Mott insulator, arXiv:2409.18357 (2024)

    work page arXiv 2024

  27. [27]

    L. Yan, L. Ma, Y. Meng, C. Xiao, B. Chen, Q. Wu, J. Cui, Q. Cao, R. Banerjee, T. Taniguchi, K. Watan- abe, S. A. Tongay, B. Hunt, Y.-T. Cui, W. Yao, and S.-F. Shi, Anomalously Enhanced Diffusivity of Moir´ e Excitons via Manipulating the Interplay with Correlated Electrons (2024), arXiv:2410.11734

    work page arXiv 2024

  28. [28]

    Mazza and A

    G. Mazza and A. Amaricci, Strongly correlated exciton- polarons in twisted homobilayer heterostructures, Phys. Rev. B 106, L241104 (2022)

    work page 2022

  29. [29]

    Knorr, S

    W. Knorr, S. Brem, G. Meneghini, and E. Malic, Exciton Transport in a Moir´ e Potential: From Hopping to Dis- persive Regime, Phys. Rev. Materials 6, 124002 (2022)

    work page 2022

  30. [30]

    G¨ otting, F

    N. G¨ otting, F. Lohof, and C. Gies, Moir´ e-Bose-Hubbard Model for Interlayer Excitons in Twisted Transition Metal Dichalcogenide Heterostructures, Phys. Rev. B 105, 165419 (2022)

    work page 2022

  31. [31]

    Huang, Y.-Z

    T.-S. Huang, Y.-Z. Chou, C. L. Baldwin, F. Wu, and M. Hafezi, Mott-Moir´ e Excitons, Phys. Rev. B 107, 195151 (2023)

    work page 2023

  32. [32]

    Huang, P

    T.-S. Huang, P. Lunts, and M. Hafezi, Nonbosonic Moir´ e Excitons, Phys. Rev. Lett. 132, 186202 (2024)

    work page 2024

  33. [33]

    Knorr, S

    W. Knorr, S. Brem, G. Meneghini, and E. Malic, Polaron- induced changes in moir´ e exciton propagation in twisted van der Waals heterostructures (2024), arXiv:2401.07703

    work page arXiv 2024

  34. [34]

    Julku, S

    A. Julku, S. Ding, and G. M. Bruun, Exciton interacting with a moir´ e lattice: Polarons, strings, and optical prob- ing of spin correlations, Phys. Rev. Research 6, 033119 (2024)

    work page 2024

  35. [35]

    Huang, Y.-X

    T.-S. Huang, Y.-X. Wang, Y.-Q. Wang, D. Chang, M. Hafezi, and A. Grankin, Collective optical properties of moir´ e excitons, arXiv:2407.19611 (2024)

    work page arXiv 2024

  36. [36]

    Zheng, C

    H. Zheng, C. Li, H. Yu, and W. Yao, F¨ orster Valley- Orbit Coupling and Topological Lattice of Hybrid Moir´ e Excitons, arXiv:2410.03443 (2024)

    work page arXiv 2024

  37. [37]

    A. M. Shentsev and M. M. Glazov, Electromagnetic field assisted exciton diffusion in moir´ e superlattices, Phys. Rev. B 111, 045301 (2025)

    work page 2025

  38. [38]

    Yi and X

    W. Yi and X. Cui, Polarons in ultracold Fermi superflu- ids, Phys. Rev. A 92, 013620 (2015)

    work page 2015

  39. [39]

    V. E. Colussi, F. Caleffi, C. Menotti, and A. Recati, Lattice Polarons across the Superfluid to Mott Insulator Transition, Phys. Rev. Lett. 130, 173002 (2023)

    work page 2023

  40. [40]

    Amelio, Two-dimensional polaron spectroscopy of Fermi superfluids, Phys

    I. Amelio, Two-dimensional polaron spectroscopy of Fermi superfluids, Phys. Rev. B 107, 104519 (2023)

    work page 2023

  41. [41]

    Santiago-Garc´ ıa, S

    M. Santiago-Garc´ ıa, S. G. Castillo-L´ opez, and A. Camacho-Guardian, Lattice polaron in a Bose–Einstein condensate of hard-core bosons, New Journal of Physics 26, 063015 (2024)

    work page 2024

  42. [42]

    Amelio and N

    I. Amelio and N. Goldman, Polaron spectroscopy of in- teracting Fermi systems: Insights from exact diagonal- ization, SciPost Physics 16, 056 (2024)

    work page 2024

  43. [43]

    Amelio, G

    I. Amelio, G. Mazza, and N. Goldman, Polaron formation in insulators and the key role of hole scattering processes in band insulators, charge density waves, and mott tran- sitions, Phys. Rev. B 110, 235302 (2024)

    work page 2024

  44. [44]

    Chevy, Universal phase diagram of a strongly interact- ing Fermi gas with unbalanced spin populations, Phys

    F. Chevy, Universal phase diagram of a strongly interact- ing Fermi gas with unbalanced spin populations, Phys. Rev. A 74, 063628 (2006)

    work page 2006

  45. [45]

    Sidler, P

    M. Sidler, P. Back, O. Cotlet, A. Srivastava, T. Fink, M. Kroner, E. Demler, and A. Imamoglu, Fermi polaron- polaritons in charge-tunable atomically thin semiconduc- tors, Nature Physics 13, 255 (2017)

    work page 2017

  46. [46]

    ˙Imamo˘ glu, O

    A. ˙Imamo˘ glu, O. Cotlet, and R. Schmidt, Exciton– polarons in two-dimensional semiconductors and the Tavis–Cummings model, Comptes Rendus. Physique 22, 89 (2021)

    work page 2021

  47. [47]

    Rivera, H

    P. Rivera, H. Yu, K. L. Seyler, N. P. Wilson, W. Yao, and X. Xu, Interlayer valley excitons in heterobilayers of transition metal dichalcogenides, Nature Nanotechnology 13, 1004 (2018)

    work page 2018

  48. [48]

    Torun, H

    E. Torun, H. P. C. Miranda, A. Molina-S´ anchez, and L. Wirtz, Interlayer and intralayer excitons in MoS2/WS2 and MoSe 2/WSe2 heterobilayers, Phys. Rev. B 97, 245427 (2018)

    work page 2018

  49. [49]

    X. Wang, X. Zhang, J. Zhu, H. Park, Y. Wang, C. Wang, 7 W. G. Holtzmann, T. Taniguchi, K. Watanabe, J. Yan, D. R. Gamelin, W. Yao, D. Xiao, T. Cao, and X. Xu, In- tercell moir´ e exciton complexes in electron lattices, Na- ture Materials 22, 599 (2023)

    work page 2023

  50. [50]

    See Supplemental Material for additional details

    work page

  51. [51]

    Combescot and S

    R. Combescot and S. Giraud, Normal State of Highly Po- larized Fermi Gases: Full Many-Body Treatment, Phys. Rev. Lett. 101, 050404 (2008)

    work page 2008

  52. [52]

    Wang, E.-M

    L. Wang, E.-M. Shih, A. Ghiotto, L. Xian, D. A. Rhodes, C. Tan, M. Claassen, D. M. Kennes, Y. Bai, B. Kim, K. Watanabe, T. Taniguchi, X. Zhu, J. Hone, A. Ru- bio, A. N. Pasupathy, and C. R. Dean, Correlated elec- tronic phases in twisted bilayer transition metal dichalco- genides, Nat. Mater. 19, 861 (2020)

    work page 2020

  53. [53]

    Huang, T

    X. Huang, T. Wang, S. Miao, C. Wang, Z. Li, Z. Lian, T. Taniguchi, K. Watanabe, S. Okamoto, D. Xiao, S.- F. Shi, and Y.-T. Cui, Correlated insulating states at fractional fillings of the WSe 2/WS2 moir´ e lattice, Nat. Phys. 17, 715 (2021)

    work page 2021

  54. [54]

    H. Li, S. Li, E. C. Regan, D. Wang, W. Zhao, S. Kahn, K. Yumigeta, M. Blei, T. Taniguchi, K. Watanabe, S. Tongay, A. Zettl, M. F. Crommie, and F. Wang, Imag- ing two-dimensional generalized Wigner crystals, Nature 597, 650 (2021)

    work page 2021

  55. [55]

    A. G. Salvador, C. Kuhlenkamp, L. Ciorciaro, M. Knap, and A. ˙Imamo˘ glu, Optical Signatures of Periodic Mag- netization: The Moir´ e Zeeman Effect, Phys. Rev. Lett. 128, 237401 (2022)

    work page 2022

  56. [56]

    Pichler, W

    F. Pichler, W. Kadow, C. Kuhlenkamp, and M. Knap, Probing Magnetism in Moir´ e Heterostructures with Quantum Twisting Microscopes, Phys. Rev. B 110, 045116 (2024)

    work page 2024

  57. [57]

    Morales-Dur´ an, N

    N. Morales-Dur´ an, N. C. Hu, P. Potasz, and A. H. Mac- Donald, Non-Local Interactions in Moir´ e Hubbard Sys- tems, Phys. Rev. Lett. 128, 217202 (2022)

    work page 2022

  58. [58]

    Combescot, A

    R. Combescot, A. Recati, C. Lobo, and F. Chevy, Normal State of Highly Polarized Fermi Gases: Simple Many- Body Approaches, Phys. Rev. Lett. 98, 180402 (2007)

    work page 2007

  59. [59]

    Nascimb` ene, N

    S. Nascimb` ene, N. Navon, K. J. Jiang, L. Tarruell, M. Te- ichmann, J. McKeever, F. Chevy, and C. Salomon, Col- lective Oscillations of an Imbalanced Fermi Gas: Axial Compression Modes and Polaron Effective Mass, Phys. Rev. Lett. 103, 170402 (2009)

    work page 2009

  60. [60]

    Navon, S

    N. Navon, S. Nascimb` ene, F. Chevy, and C. Salomon, The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions, Science 328, 729 (2010)

    work page 2010

  61. [61]

    J. M. Ziman, Transport properties, in Principles of the Theory of Solids (Cambridge University Press, 1972) p. 211–254

    work page 1972

  62. [62]

    Mehio, X

    O. Mehio, X. Li, H. Ning, Z. Lenarˇ ciˇ c, Y. Han, M. Buch- hold, Z. Porter, N. J. Laurita, S. D. Wilson, and D. Hsieh, A Hubbard exciton fluid in a photo-doped antiferromag- netic Mott insulator, Nature Physics 19, 1876 (2023)

    work page 2023

  63. [63]

    J. Cai, E. Anderson, C. Wang, X. Zhang, X. Liu, W. Holtzmann, Y. Zhang, F. Fan, T. Taniguchi, K. Watanabe, Y. Ran, T. Cao, L. Fu, D. Xiao, W. Yao, and X. Xu, Signatures of fractional quantum anomalous Hall states in twisted MoTe 2, Nature 622, 63 (2023)

    work page 2023

  64. [64]

    Y. Zeng, Z. Xia, K. Kang, J. Zhu, P. Kn¨ uppel, C. Vaswani, K. Watanabe, T. Taniguchi, K. F. Mak, and J. Shan, Thermodynamic evidence of fractional Chern insulator in moir´ e MoTe2, Nature 622, 69 (2023)

    work page 2023

  65. [65]

    H. Park, J. Cai, E. Anderson, Y. Zhang, J. Zhu, X. Liu, C. Wang, W. Holtzmann, C. Hu, Z. Liu, T. Taniguchi, K. Watanabe, J.-H. Chu, T. Cao, L. Fu, W. Yao, C.- Z. Chang, D. Cobden, D. Xiao, and X. Xu, Observation of fractionally quantized anomalous Hall effect, Nature 622, 74 (2023)

    work page 2023

  66. [66]

    F. Xu, Z. Sun, T. Jia, C. Liu, C. Xu, C. Li, Y. Gu, K. Watanabe, T. Taniguchi, B. Tong, J. Jia, Z. Shi, S. Jiang, Y. Zhang, X. Liu, and T. Li, Observation of In- teger and Fractional Quantum Anomalous Hall Effects in Twisted Bilayer MoTe2, Phys. Rev. X 13, 031037 (2023)

    work page 2023

  67. [67]

    J. Dong, T. Wang, T. Wang, T. Soejima, M. P. Za- letel, A. Vishwanath, and D. E. Parker, Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quan- tum Hall States at Zero Magnetic Field, Phys. Rev. Lett. 133, 206503 (2024)

    work page 2024

  68. [68]

    Z. Dong, A. S. Patri, and T. Senthil, Theory of Quan- tum Anomalous Hall Phases in Pentalayer Rhombohe- dral Graphene Moir´ e Structures, Phys. Rev. Lett. 133, 206502 (2024)

    work page 2024

  69. [69]

    Pichler, M

    F. Pichler, M. Hafezi, and M. Knap, Zenodo entry for: Purely Electronic Model for Exciton-Polaron Formation in Moir´ e Heterostructures (2025). 1 Supplemental Material: Purely Electronic Model for Exciton-Polaron Formation in Moir´ e Heterostructures Fabian Pichler, Mohammad Hafezi, and Michael Knap EXCITON W A VEFUNCTION Before tackling the many-body pro...

    work page 2025