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.
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Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations
10 Pith papers cite this work, alongside 5,005 external citations. Polarity classification is still indexing.
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Numerical evidence from exact diagonalization supports a foliated non-Abelian Fibonacci phase in 9-layer systems alongside stability of decoupled Laughlin states under interlayer pseudopotential interactions.
SSE voltage measurements on Dy2Ti2O7 show a peak at monopole proliferation with frequency and angular dependence, interpreted as electrical detection of fractionalized monopoles.
Impurity-induced geometric correlations within a Landau level generate fractional quantum Hall states via coherent coupling of cyclotron orbits.
An exciton forms a bound state with a quasihole in a 1/3-filled fractional Chern insulator, with spectral signatures and binding energies of order 1 meV accessible to optical experiments.
Quotienting distinguishable-particle states under ordered-basis, unitary-invariance, and local-counting assumptions produces creation-annihilation algebras that reproduce transtatistics partition functions.
Magnetic translation symmetry in QFT with external magnetic field forces charged operator two-point functions to factor into a Schwinger phase times a reduced correlator depending only on relative coordinates.
In a 2D model Hamiltonian, orbital Hall conductivity quantizes when altermagnetism exceeds sp-hybridization while spin Hall quantizes when Rashba SOC is weaker, with both independent of the other coupling and arising from Fermi-surface Berry curvature.
Analytical calculation for N≤7 shows composite fermion wavefunction yields lower two-quasiparticle excitation energy per particle than Laughlin, with the difference decreasing as system size increases.
Analytic ground-state energies for N≤10 electrons at ν=1 and excited-state composite-fermion energies at ν=1/3 are obtained via complex polar coordinates and compared with prior numerical work.
citing papers explorer
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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.
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Three-dimensional Foliated Fractional Quantum Hall Phases
Numerical evidence from exact diagonalization supports a foliated non-Abelian Fibonacci phase in 9-layer systems alongside stability of decoupled Laughlin states under interlayer pseudopotential interactions.
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Electrical observation via spin Seebeck effect of fractionalized excitations in a magnetic insulator
SSE voltage measurements on Dy2Ti2O7 show a peak at monopole proliferation with frequency and angular dependence, interpreted as electrical detection of fractionalized monopoles.
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Impurity-induced geometric correlations and fractional quantization in quantum Hall systems
Impurity-induced geometric correlations within a Landau level generate fractional quantum Hall states via coherent coupling of cyclotron orbits.
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Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints
An exciton forms a bound state with a quasihole in a 1/3-filled fractional Chern insulator, with spectral signatures and binding energies of order 1 meV accessible to optical experiments.
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Reconstruction of Quantum Fields: CCR, CAR and Transfields
Quotienting distinguishable-particle states under ordered-basis, unitary-invariance, and local-counting assumptions produces creation-annihilation algebras that reproduce transtatistics partition functions.
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Magnetic Symmetries and the Structure of Correlation Functions in Quantum Field Theory
Magnetic translation symmetry in QFT with external magnetic field forces charged operator two-point functions to factor into a Schwinger phase times a reduced correlator depending only on relative coordinates.
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Quantized orbital and spin Hall transport: interplay between $sp$-hybridization, altermagnetism and spin-orbit coupling
In a 2D model Hamiltonian, orbital Hall conductivity quantizes when altermagnetism exceeds sp-hybridization while spin Hall quantizes when Rashba SOC is weaker, with both independent of the other coupling and arising from Fermi-surface Berry curvature.
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New exact analytical results for two quasiparticle excitation in the fractional quantum Hall effect
Analytical calculation for N≤7 shows composite fermion wavefunction yields lower two-quasiparticle excitation energy per particle than Laughlin, with the difference decreasing as system size increases.
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Analytic results of the excited electronic states at $\upsilon=1/3$ and the Laughlin-Jain microscopic wave function approaches
Analytic ground-state energies for N≤10 electrons at ν=1 and excited-state composite-fermion energies at ν=1/3 are obtained via complex polar coordinates and compared with prior numerical work.