activity
20212025
most citedMomentum space quantum Monte Carlo on twisted bilayer Graphene

67 citations · 411 across the 15 of their papers we have counts for

collaborators

15 papers

cond-mat.mes-hall2025★ 8 cited

Magnetic Bloch States at Integer Flux Quanta Induced by Super-moiré Potential in Graphene Aligned with Twisted Boron Nitride

Yaqi Ma, Meizhen Huang, Xu Zhang +15

Two-dimensional electron systems in both magnetic fields and periodic potentials are described by Hofstadter butterfly, a fundamental problem of solid-state physics. While moiré sy…

cond-mat.str-el2024★ 12 cited

Angle-Tuned Gross-Neveu Quantum Criticality in Twisted Bilayer Graphene: A Quantum Monte Carlo Study

Cheng Huang, Nikolaos Parthenios, Maksim Ulybyshev +4

The fascinating quantum many-body states in twisted bilayber graphene (TBG) at magic angle, due to the interplay of Coulomb interactions and the quantum metrics of flat bands, have…

cond-mat.str-el2024★ 1 cited

Emergent Conformal Symmetry at the Multicritical Point of (2+1)D SO(5) Model with Wess-Zumino-Witten Term on Sphere

Bin-Bin Chen, Xu Zhang, Zi Yang Meng

Novel critical phenomena beyond the Landau-Ginzburg-Wilson paradigm have been long sought after. Among many candidate scenarios, the deconfined quantum critical point (DQCP) consti…

cond-mat.str-el2023★ 18 cited

An integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulation

Xu Zhang, Gaopei Pan, Bin-Bin Chen +2

Exponential observables, formulated as where is an extensive quantity, play a critical role in study of quantum many-body systems, examp…

cond-mat.str-el2023★ 29 cited

Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase

Bin-Bin Chen, Xu Zhang, Yuxuan Wang +2

Novel critical phenomena beyond the Landau-Ginzburg-Wilson paradigm have been long sought after. Among many candidate scenarios, the deconfined quantum critical point (DQCP) consti…

cond-mat.str-el2023★ 22 cited

Evolution from quantum anomalous Hall insulator to heavy-fermion semimetal in magic-angle twisted bilayer graphene

Cheng Huang, Xu Zhang, Gaopei Pan +4

The ground states of twisted bilayer graphene (TBG) at chiral and flat-band limit with integer fillings are known from exact solutions, while their dynamical and thermodynamical pr…

cond-mat.mes-hall2023★ 3 cited

The "Sign problem" of the 3rd order anomalous Hall effect in topological magnetic materials

Xu Zhang, Kai Sun, Zi Yang Meng

The anomalous Hall effect (AHE), which provides a bridgeway between the geometry of quantum wavefunctions and transport measurements, has been a key focus of intensive studies. In…

cond-mat.mes-hall2023★ 38 cited

Experimental evidence for Berry curvature multipoles in antiferromagnets

Soumya Sankar, Ruizi Liu, Xue-Jian Gao +12

Berry curvature multipoles appearing in topological quantum materials have recently attracted much attention. Their presence can manifest in novel phenomena, such as nonlinear anom…

cond-mat.mes-hall2022★ 63 cited

Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene

Meizhen Huang, Zefei Wu, Xu Zhang +8

Though the observation of the quantum anomalous Hall effect and nonlocal transport response reveals nontrivial band topology governed by the Berry curvature in twisted bilayer grap…

cond-mat.str-el2022★ 27 cited

Quantum Monte Carlo sign bounds, topological Mott insulator and thermodynamic transitions in twisted bilayer graphene model

Xu Zhang, Gaopei Pan, Bin-Bin Chen +3

We show that for magic-angle twisted bilayer graphene (TBG) away from charge neutrality, although quantum Monte Carlo (QMC) simulations suffer from the sign problem, the computatio…

cond-mat.str-el2022★ 29 cited

Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state

Gaopei Pan, Hongyu Lu, Heqiu Li +4

While the ground state phase diagram of the correlated flat-band systems have been intensively investigated, the dynamic and thermodynamic properties of such lattice models are les…

cond-mat.str-el2021★ 24 cited

Fermion sign bounds theory in quantum Monte Carlo simulation

Xu Zhang, Gaopei Pan, Xiao Yan Xu +1

Sign problem in fermion quantum Monte Carlo (QMC) simulation appears to be an extremely hard problem. Traditional lore passing around for years tells people that when there is a si…

cond-mat.supr-con2021★ 33 cited

Superconductivity and bosonic fluid emerging from Moiré flat bands

Xu Zhang, Kai Sun, Heqiu Li +2

Although evidence of inter-valley attraction-mediated by phonon or topological fluctuations is accumulating, the origin of superconductivity in the flat-band quantum moiré material…

cond-mat.str-el2021★ 37 cited

Dynamical properties of collective excitations in twisted bilayer Graphene

Gaopei Pan, Xu Zhang, Heqiu Li +2

Employing the recently developed momentum-space quantum Monte Carlo scheme, we study the dynamic response of single-particle and collective excitations in realistic continuum model…

cond-mat.str-el2021★ 67 cited

Momentum space quantum Monte Carlo on twisted bilayer Graphene

Xu Zhang, Gaopei Pan, Yi Zhang +2

We report an implementation of the momentum space quantum Monte Carlo (QMC) method on the interaction model for the twisted bilayer graphene (TBG) at integer fillings. The long-ran…