67 citations · 526 across the 25 of their papers we have counts for
25 papers
Quantum Monte Carlo studies of U(1) lattice gauge models of Kondo breakdown
Gaopei Pan, Fakher F. Assaad
In the local-moment regime, heavy fermions are most economically described by a compact U(1) gauge theory. Motivated by this perspective, we study a minimal compact U(1) lattice ga…
Self-learning Monte Carlo Method: A Review
Gaopei Pan, Chuang Chen, Zi Yang Meng
The Self-Learning Monte Carlo (SLMC) method is a Monte Carlo approach that has emerged in recent years by integrating concepts from machine learning with conventional Monte Carlo t…
Local spectroscopy of loop current order with individual magnetic atoms
Jiangchang Zheng, Caiyun Chen, Xu Zhang +16
Hidden ordered states--characterized by order parameters that elude conventional probes--pose a fundamental challenge for their identification in quantum materials. Recent experime…
High-efficiency quantum Monte Carlo algorithm for extracting entanglement entropy in interacting fermion systems
Weilun Jiang, Gaopei Pan, Zhe Wang +3
The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. I…
Reweight-annealing method for evaluating the partition function via quantum Monte Carlo calculations
Yi-Ming Ding, Jun-Song Sun, Nvsen Ma +3
Efficient and accurate algorithm for partition function, free energy and thermal entropy calculations is of great significance in statistical physics and quantum many-body physics.…
Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions
Chuang Chen, Yuan Da Liao, Chengkang Zhou +3
Employing large-scale quantum Monte Carlo simulations, we find that in the magnetized interacting Dirac fermion model there emerges a universal collective Larmor-Silin spin wave mo…
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…
Disorder Operator and Rényi Entanglement Entropy of Symmetric Mass Generation
Zi Hong Liu, Yuan Da Liao, Gaopei Pan +8
In recent years a consensus has gradually been reached that the previously proposed deconfined quantum critical point (DQCP) for spin-1/2 systems, an archetypal example of quantum…
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…
Stable computation of entanglement entropy for 2D interacting fermion systems
Gaopei Pan, Yuan Da Liao, Weilun Jiang +3
There is no doubt that the information hidden in entanglement entropy (EE), for example, the -th order Rényi EE, i.e., $S^{A}_n=\frac{1}{1-n}\ln \Tr (ρ_A^n)$ where $ρ_A=\mathrm{…
The teaching from entanglement: 2D SU(2) antiferromagnet to valence bond solid deconfined quantum critical points are not conformal
Yuan Da Liao, Gaopei Pan, Weilun Jiang +2
The deconfined quantum critical point (DQCP) -- the enigmatic incarnation of the quantum phase transition beyond the Landau-Ginzburg-Wilson paradigm of symmetries and their spontan…
Defining a universal sign to strictly probe a phase transition
Nvsen Ma, Jun-Song Sun, Gaopei Pan +2
The mystery of the infamous sign problem in quantum Monte Carlo simulations mightily restricts applications of the method in fermionic and frustrated systems. A recent work [Scienc…
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…
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…
A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
Gaopei Pan, Weilun Jiang, Zi Yang Meng
We summarize the recent developments in the model design and computation for a few representative quantum many-body systems, encompassing quantum critical metals beyond the Hertz-M…
Sign Problem in Quantum Monte Carlo Simulation
Gaopei Pan, Zi Yang Meng
Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard yet interesting problem. In this article, we present a pedagogical overview on the origin of th…
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…
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…
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…
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…
Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
Wei Wang, Andrew Davis, Gaopei Pan +2
We analyze the phase diagram of the Yukawa-Sachdev-Ye-Kitaev model, which describes complex fermions randomly interacting with real bosons via a Yukawa coupling, at finite temperat…
Yukawa-SYK model and Self-tuned Quantum Criticality
Gaopei Pan, Wei Wang, Andrew Davis +2
Non-Fermi liquids (NFL) are a class of strongly interacting gapless fermionic systems without long-lived quasiparticle excitations. An important group of NFL model features itinera…
Solving quantum rotor model with different Monte Carlo techniques
Weilun Jiang, Gaopei Pan, Yuzhi Liu +1
We systematically test the performance of several Monte Carlo update schemes for the d XY phase transition of quantum rotor model. By comparing the local Metropolis (LM), LM…
Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
Xiao Yan Xu, Zi Hong Liu, Gaopei Pan +3
This review summarizes recent developments in the study of fermionic quantum criticality, focusing on new progress in numerical methodologies, especially quantum Monte Carlo method…