“quantum geometric nesting” and solvable model flat-band systems
We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …
Polynomial sign problem and topological Mott insulator in twisted bilayer graphene
We show that for the magic-angle twisted bilayer graphene (TBG) away from the charge
neutrality point, although quantum Monte Carlo (QMC) simulations suffer from the sign …
neutrality point, although quantum Monte Carlo (QMC) simulations suffer from the sign …
Stable computation of entanglement entropy for two-dimensional interacting fermion systems
There is no doubt that the information hidden in entanglement entropy (EE), for example, the
n th order Rényi EE, ie, S n A= 1 1− n ln Tr (ρ A n), where ρ A= Tr A¯ ρ is the reduced density …
n th order Rényi EE, ie, S n A= 1 1− n ln Tr (ρ A n), where ρ A= Tr A¯ ρ is the reduced density …
Dynamical properties of quantum many-body systems with long-range interactions
Employing large-scale quantum Monte Carlo simulations, we systematically compute the
energy spectra of the two-dimensional (2D) spin-1/2 Heisenberg model with long-range …
energy spectra of the two-dimensional (2D) spin-1/2 Heisenberg model with long-range …
Quantum criticality and entanglement for the two-dimensional long-range Heisenberg bilayer
The study of quantum criticality and entanglement in systems with long-range (LR)
interactions is still in its early stages, with many open questions remaining to be explored. In …
interactions is still in its early stages, with many open questions remaining to be explored. In …
Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter
Motivated by recent development of the concept of the disorder operator and its relation with
entanglement entropy in bosonic systems, here we show the disorder operator successfully …
entanglement entropy in bosonic systems, here we show the disorder operator successfully …
Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model
Abstract The Mermin-Wagner theorem states that spontaneous continuous symmetry
breaking is prohibited in systems with short-range interactions at spatial dimension D≤ 2 …
breaking is prohibited in systems with short-range interactions at spatial dimension D≤ 2 …
From fractional quantum anomalous Hall smectics to polar smectic metals: nontrivial interplay between electronic liquid crystal order and topological order in …
Symmetry-breaking orders can not only compete with each other, but also be intertwined,
and the intertwined topological and symmetry-breaking orders make the situation more …
and the intertwined topological and symmetry-breaking orders make the situation more …
Integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulations
Exponential observables, formulated as ln〈 e X ̂〉 where X ̂ is an extensive quantity, play
a critical role in the study of quantum many-body systems, examples of which include the …
a critical role in the study of quantum many-body systems, examples of which include the …
Evolution from quantum anomalous Hall insulator to heavy-fermion semimetal in magic-angle twisted bilayer graphene
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 …
fillings are known from exact solutions, while their dynamical and thermodynamical …