A momentum space framework and truncation scheme for double-incommensurate trilayer graphene yields better convergence of density of states and captures band changes near magic-angle flat bands.
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abstract
The understanding of strongly-correlated materials, and in particular unconventional superconductors, has puzzled physicists for decades. Such difficulties have stimulated new research paradigms, such as ultra-cold atom lattices for simulating quantum materials. Here we report on the realization of intrinsic unconventional superconductivity in a 2D superlattice created by stacking two graphene sheets with a small twist angle. For angles near $1.1^\circ$, the first `magic' angle, twisted bilayer graphene (TBG) exhibits ultra-flat bands near charge neutrality, which lead to correlated insulating states at half-filling. Upon electrostatic doping away from these correlated insulating states, we observe tunable zero-resistance states with a critical temperature $T_c$ up to 1.7 K. The temperature-density phase diagram shows similarities with that of the cuprates, including superconducting domes. Moreover, quantum oscillations indicate small Fermi surfaces near the correlated insulating phase, in analogy with under-doped cuprates. The relative high $T_c$, given such small Fermi surface (corresponding to a record-low 2D carrier density of $10^{11} \textrm{cm}^{-2}$ , renders TBG among the strongest coupling superconductors, in a regime close to the BCS-BEC crossover. These novel results establish TBG as the first purely carbon-based 2D superconductor and as a highly tunable platform to investigate strongly-correlated phenomena, which could lead to insights into the physics of high-$T_c$ superconductors and quantum spin liquids.
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cond-mat.mes-hall 7 cond-mat.mtrl-sci 6 cond-mat.str-el 3 cond-mat.other 1 cond-mat.supr-con 1 math.NA 1 quant-ph 1roles
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Introduces an efficient SSE QMC algorithm with global updates and parallel tempering for mixed-dimensional models and applies it to map angle-dependent correlated insulators and Wigner-Mott states in M-point twisted AA-stacked SnSe2.
MLM is an open-source Python package that uses a solve-and-round algorithm to construct commensurate moire supercells for arbitrary multilayer twisted 2D systems with O(N^2) scaling per twist angle.
X-ray diffraction reveals that charge localization in EuAl4 is enhanced by magnetic ordering and can be reversibly tuned by applying uniaxial pressure along different crystal axes.
Flat bands near the Fermi level observed in noncentrosymmetric type-II Weyl semimetal TaRhTe4 by ARPES, not predicted by DFT calculations.
Twisted multilayers show interlayer electric multipole Hall effects from layer pseudospin textures, with tunable currents in trilayers via interlayer translation and additive interface contributions at large angles.
Derives distinct scaling laws N_c vs B_c for beating nodes in graphene quantum oscillations to distinguish pseudomagnetic fields (N_c ∝ B_c²), valley imbalance (N_c ∝ B_c), and energy splitting mechanisms.
High magnetic fields directly enhance the amplitude and correlation length of stripe order in a cuprate superconductor far above the vortex melting transition, indicating a coupling mechanism independent of superconductivity suppression.
Interfering two obliquely propagating surface acoustic waves forms a tunable acoustoelectric superlattice in 2D materials, enabling in-situ control of minibands, flat bands, and nontrivial valley Chern numbers in massive monolayer graphene.
Superconductivity in rhombohedral trilayer graphene is explained as quasiparticle pairing from the intervalley coherent state, producing Tc proportional to epsilon_D exp(-2 over rho_qp U) and coherence length xi approximately v over sqrt(mu Tc) that match data.
Twisted 1T-ZrS₂ and 1T-SnSe₂ host isolated topological moiré valence bands with quantum spin Hall and high spin Chern states that arise from inter-branch and inter-orbital coupling under approximate spin-U(1) symmetry.
By engineering platinum grain facets and their catalytic activity, researchers achieved scalable CVD growth of twisted graphene layers with pre-selected twist angles including the magic angle.
A self-consistent continuum Hartree+U model with long-range Coulomb interactions maps the magnetic phase diagram of magic-angle twisted bilayer and trilayer graphene versus doping and twist angle.
Critical current in electrically tunable moiré minibands scales directly with bandwidth, providing a universal electrical probe across graphene superlattices.
Wafer-scale MOCVD-grown GaSe 2D nanosheets show defect-induced localized emission with single-photon character (g2(0)=0.15) suitable for classical and non-classical light sources.
Terahertz near-field microscopy on encapsulated graphene reveals magnetic-field-tunable cyclotron resonance of Dirac fermions at low temperature.
Construction of a cryogenic UHV tunable confocal Fabry-Pérot cavity apparatus with intracavity 2D sample positioning for enhanced light-matter coupling experiments.
Extending the Haldane model to the dice lattice induces flat-band topological transitions at φ^c = π/6 and 5π/6, with flux-dependent Chern numbers and quantized Hall plateaus.
Exciton polaritons in microcavities form synthetic photonic crystals with engineered band structures and interactions for exploring many-body physics from mean-field to quantum regimes.
citing papers explorer
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Momentum Space Algorithm for Electronic Structure of Double-Incommensurate Trilayer Graphene
A momentum space framework and truncation scheme for double-incommensurate trilayer graphene yields better convergence of density of states and captures band changes near magic-angle flat bands.
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Mixed-dimensional quantum Monte Carlo studies of M-point moir\'e materials
Introduces an efficient SSE QMC algorithm with global updates and parallel tempering for mixed-dimensional models and applies it to map angle-dependent correlated insulators and Wigner-Mott states in M-point twisted AA-stacked SnSe2.
-
MLM: Multi-Layer Moire -- A Python Package for Generating Commensurate Supercells of Twisted Multilayer Two-Dimensional Materials
MLM is an open-source Python package that uses a solve-and-round algorithm to construct commensurate moire supercells for arbitrary multilayer twisted 2D systems with O(N^2) scaling per twist angle.
-
Strain-tunable charge localization coupled to complex magnetic orders in EuAl$_4$
X-ray diffraction reveals that charge localization in EuAl4 is enhanced by magnetic ordering and can be reversibly tuned by applying uniaxial pressure along different crystal axes.
-
Observation of Flat Bands in Type-II Weyl Semimetal TaRhTe$_{4}$
Flat bands near the Fermi level observed in noncentrosymmetric type-II Weyl semimetal TaRhTe4 by ARPES, not predicted by DFT calculations.
-
Interlayer electric multipole Hall effect in twisted multilayers
Twisted multilayers show interlayer electric multipole Hall effects from layer pseudospin textures, with tunable currents in trilayers via interlayer translation and additive interface contributions at large angles.
-
Diagnosing the origin of quantum oscillation beating in graphene
Derives distinct scaling laws N_c vs B_c for beating nodes in graphene quantum oscillations to distinguish pseudomagnetic fields (N_c ∝ B_c²), valley imbalance (N_c ∝ B_c), and energy splitting mechanisms.
-
Direct High-Magnetic-Field Coupling to Stripe Order in a Cuprate Superconductor
High magnetic fields directly enhance the amplitude and correlation length of stripe order in a cuprate superconductor far above the vortex melting transition, indicating a coupling mechanism independent of superconductivity suppression.
-
Miniband Generation by Surface Acoustic Waves
Interfering two obliquely propagating surface acoustic waves forms a tunable acoustoelectric superlattice in 2D materials, enabling in-situ control of minibands, flat bands, and nontrivial valley Chern numbers in massive monolayer graphene.
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Superconductivity from Quasiparticle Pairing of Intervalley Coherent State in Rhombohedral Trilayer Graphene
Superconductivity in rhombohedral trilayer graphene is explained as quasiparticle pairing from the intervalley coherent state, producing Tc proportional to epsilon_D exp(-2 over rho_qp U) and coherence length xi approximately v over sqrt(mu Tc) that match data.
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Engineering topological flat bands in $\Gamma$-valley moir\'e systems with Ising-type SOC: twisted 1T-ZrS$_2$ and 1T-SnSe$_2$
Twisted 1T-ZrS₂ and 1T-SnSe₂ host isolated topological moiré valence bands with quantum spin Hall and high spin Chern states that arise from inter-branch and inter-orbital coupling under approximate spin-U(1) symmetry.
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Facet-dependent Chemical Kinetics Governed Growth of Twisted Graphene Layers with Pre-designed Angles
By engineering platinum grain facets and their catalytic activity, researchers achieved scalable CVD growth of twisted graphene layers with pre-selected twist angles including the magic angle.
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Magnetic Ordering in Moir\'e Graphene Multilayers from a Continuum Hartree+U Approach
A self-consistent continuum Hartree+U model with long-range Coulomb interactions maps the magnetic phase diagram of magic-angle twisted bilayer and trilayer graphene versus doping and twist angle.
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Bandwidth-Limited Critical Currents in Electrically Tunable Moir\'e Bands
Critical current in electrically tunable moiré minibands scales directly with bandwidth, providing a universal electrical probe across graphene superlattices.
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Localized Excitonic Emission in Wafer-Scale MOCVD-Grown GaSe 2D Nanosheets for Classical and Non-Classical Light Sources
Wafer-scale MOCVD-grown GaSe 2D nanosheets show defect-induced localized emission with single-photon character (g2(0)=0.15) suitable for classical and non-classical light sources.
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Terahertz magneto-nanoscopy of encapsulated monolayer graphene
Terahertz near-field microscopy on encapsulated graphene reveals magnetic-field-tunable cyclotron resonance of Dirac fermions at low temperature.
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A cryogenic apparatus for coupling two-dimensional materials to a confocal multimode optical cavity
Construction of a cryogenic UHV tunable confocal Fabry-Pérot cavity apparatus with intracavity 2D sample positioning for enhanced light-matter coupling experiments.
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Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
Extending the Haldane model to the dice lattice induces flat-band topological transitions at φ^c = π/6 and 5π/6, with flux-dependent Chern numbers and quantized Hall plateaus.
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Synthetic Polariton Matter in the solid state
Exciton polaritons in microcavities form synthetic photonic crystals with engineered band structures and interactions for exploring many-body physics from mean-field to quantum regimes.
- Phonon-driven Floquet engineering for electronic states