30 citations · 83 across the 17 of their papers we have counts for
18 papers
Kibble-Zurek Mechanism for Nonequilibrium Generation of Magnetic Monopoles in Spin Ices
Zhijie Fan, Adolfo del Campo, Gia-Wei Chern
The proliferation of topological defects is a common out-of-equilibrium phenomenon when a system is driven into a phase of broken symmetry. The Kibble-Zurek mechanism (KZM) provide…
Nonequilibrium generation of charge defects in kagome spin ice under slow cooling
Zhijie Fan, Gia-Wei Chern
Kagome spin ice is one of the canonical examples of highly frustrated magnets. The effective magnetic degrees of freedom in kagome spin ice are Ising spins residing on a two-dimens…
Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems
Zhijie Fan, Chao Zhang, Youjin Deng
Simulating long-range interacting systems is a challenging task due to its computational complexity that the computational effort for each local update is of order ,…
Sharp endpoint estimates of quantum Schrödinger groups
Zhijie Fan, Guixiang Hong, Liang Wang
In this article, we establish sharp endpoint estimates of Schrödinger groups on general measure spaces which may not be equipped with good metrics but admit submarkovian semi…
Besov Space, Schatten Classes And Commutators Of Riesz Transforms Associated With The Neumann Laplacian
Zhijie Fan, Michael Lacey, Ji Li +2
This article provides a deeper study of the Riesz transform commutators associated with the Neumann Laplacian operator on . Along the line of singular value esti…
Characterizations of product Hardy spaces on stratified groups by singular integrals and maximal functions
Michael G. Cowling, Zhijie Fan, Ji Li +1
A large part of the theory of Hardy spaces on products of Euclidean spaces has been extended to the setting of products of stratified Lie groups. This includes characterisation of…
Atomistic simulation of Mott transition in fluid metals: Combining molecular dynamics with dynamical mean-field theory
Zhijie Fan, Gia-Wei Chern
We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to…
Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups
Zhijie Fan, Ji Li, Edward McDonald +2
Along the line of singular value estimates for commutators by Rochberg-Semmes, Lord-McDonald-Sukochev-Zanin and Fan-Lacey-Li, we establish the endpoint weak Schatten class estimate…
Schatten classes and commutators of Riesz transform on Heisenberg group and applications
Zhijie Fan, Michael Lacey, Ji Li
We study commutators with the Riesz transforms on the Heisenberg group. The Schatten norm of these commutators is characterized in terms of Besov norms of the symbol. This generali…
Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition
Zhongzheng Tian, Zhijie Fan, Preetha Saha +1
We show that a magnetic field in the high-symmetry direction lifts the macroscopic classical ground-state degeneracy of the honeycomb model and induces a long-range magnetic or…
Anomalous and Anisotropic Nonlinear Susceptibility in the Proximate Kitaev Magnet -RuCl
Ludwig Holleis, Joseph Prestigiacomo, Zhijie Fan +5
The leading order nonlinear (NL) susceptibility, , in a paramagnet is negative and diverges as . This divergence is destroyed when spins correlate and the NL…
Distribution of Kinks in an Ising Ferromagnet After Annealing and the Generalized Kibble-Zurek Mechanism
Jack J. Mayo, Zhijie Fan, Gia-Wei Chern +1
We consider the annealing dynamics of a one-dimensional Ising ferromagnet induced by a temperature quench in finite time. In the limit of slow cooling, the asymptotic two-point cor…
Quantitative weighted estimates for rough singular integrals on homogeneous groups
Zhijie Fan, Ji Li
In this paper, we study weighted boundedness ( and a Muckenhoupt weight) of singular integrals with homogeneous convolution kernel on an a…
Weak type bounds for Schrödinger groups via generalized Gaussian estimates
Zhijie Fan
Let be a non-negative self-adjoint operator acting on , where is a space of homogeneous type with a dimension . Suppose that the heat operator satisfie…
The Schrödinger equation in spaces for operators with heat kernel satisfying Poisson type bounds
Peng Chen, Xuan Thinh Duong, Zhijie Fan +2
Let be a non-negative self-adjoint operator acting on where is a space of homogeneous type with a dimension . In this paper, we study sharp endpoint -Sobol…
Enhanced Superconductivity in Quasi-periodic Crystals
Zhijie Fan, Gia-Wei Chern, Shi-Zeng Lin
We study superconductivity in a family of one dimensional incommensurate system with -wave pairing interaction. The incommensurate potential can alter the spatial characteristic…
Characterizations of the Hardy space for Fourier integral operators
Zhijie Fan, Naijia Liu, Jan Rozendaal +1
The Hardy spaces for Fourier integral operators , for , were introduced by Smith in [Smith,1998] and Hassell et al. in [H…
Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
Preetha Saha, Zhijie Fan, Depei Zhang +1
We report a new classical spin liquid in which the collective flux degrees of freedom break the translation symmetry of the honeycomb lattice. This exotic phase exists in frustrate…