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20112023
most citedTopological phases of generalized Su-Schrieffer-Heeger models

279 citations · 822 across the 22 of their papers we have counts for

collaborators

22 papers

cond-mat.dis-nn2023★ 10 cited

Reentrant Localization Transitions in a Topological Anderson Insulator: A Study of a Generalized Su-Schrieffer-Heeger Quasicrystal

Zhanpeng Lu, Yunbo Zhang, Zhihao Xu

We study the topology and localization properties of a generalized Su-Schrieffer-Heeger (SSH) model with a quasi-periodic modulated hopping. It is found that the interplay of off-d…

cond-mat.dis-nn2023★ 14 cited

From Ergodicity to Many-Body Localization in a One-Dimensional Interacting Non-Hermitian Stark System

Jinghu Liu, Zhihao Xu

Recent studies on disorder-induced many-body localization (MBL) in non-Hermitian quantum systems have attracted great interest. However, the non-Hermitian disorder-free MBL still n…

math.FA2022

Characterizations for the existence of traces of first-order Sobolev spaces on hyperbolic fillings

Manzi Huang, Zhihao Xu

In this paper, we study the existence of traces for Sobolev spaces on the hyperbolic filling of a compact metric space equipped with a doubling measure. Given a suitable me…

cond-mat.dis-nn2022★ 18 cited

Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model

Zhanpeng Lu, Zhihao Xu, Yunbo Zhang

We uncover the relationship of topology and disorder in a one-dimensional Su-Schrieffer-Heeger chain subjected to a slowly varying quasi-periodic modulation. By numerically calcula…

cond-mat.dis-nn2021★ 44 cited

Non-Hermitian Aubry-André model with Power-Law Hopping

Zhihao Xu, Xu Xia, Shu Chen

We study a non-Hermitian AA model with long-range hopping, , and different choices of quasiperiodic parameters to be a member of the metallic mean family. We find that w…

cond-mat.dis-nn2021★ 31 cited

Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals

Zhihao Xu, Xu Xia, Shu Chen

The emergence of the mobility edge (ME) has been recognized as an important characteristic of Anderson localization. The difficulty in understanding the physics of the MEs in three…

cond-mat.dis-nn2021★ 47 cited

Dynamical evolution in a one-dimensional incommensurate lattice with symmetry

Zhihao Xu, Shu Chen

We investigate the dynamical evolution of a parity-time () symmetric extension of the Aubry-André (AA) model, which exhibits the coincidence of a localization-delocal…

cond-mat.str-el2020★ 70 cited

Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices

Zhihao Xu, Shu Chen

We study the topological properties of Bose-Mott insulators in one-dimensional non-Hermitian superlattices, which may serve as effective Hamiltonians for cold atomic optical system…

quant-ph2019★ 46 cited

Fate of zero modes in a finite Su-Schrieffer-Heeger Model with Symmetry

Zhihao Xu, Rong Zhang, Shu Chen +2

Due to the boundary coupling in a finite system, the zero modes of a standard Su-Schrieffer-Heeger (SSH) model may deviate from exact-zero energy. A recent experiment has shown tha…

cond-mat.dis-nn2019★ 43 cited

Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices

Zhihao Xu, Hongli Huangfu, Yunbo Zhang +1

We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analyt…

cond-mat.quant-gas2018★ 6 cited

Dynamical evolution of an effective two-level system with PT symmetry

Lei Du, Zhihao Xu, Chuanhao Yin +1

We investigate the dynamics of parity- and time-reversal (PT ) symmetric two-energy-level atoms in the presence of two optical and a radio-frequency (rf) fields. The strength and r…

cond-mat.quant-gas2017★ 26 cited

Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice

Zhihao Xu, Yunbo Zhang, Shu Chen

Experimental realizations of topological quantum systems and detections of topological invariants in ultracold atomic systems have been a greatly attractive topic. In this work, we…

cond-mat.str-el2016★ 4 cited

Evidence for correlated states in a cluster of bosons with Rashba spin-orbit coupling

Zhihao Xu, Zhenhua Yu, Shizhong Zhang

We study the ground state properties of spin-half bosons subjected to the Rashba spin-orbit coupling in two dimensions. Due to the enhancement of the low energy density of states,…

cond-mat.quant-gas2015★ 15 cited

Topological Superfluids and BEC-BCS Crossover in Attractive Haldane-Hubbard Model

Yi-Cai Zhang, Zhihao Xu, Shizhong Zhang

Motivated by the recent realization of the Haldane model in shaking optical lattice, we investigate the effects of attractive interaction and BEC-BCS crossover in this model at and…

cond-mat.str-el2014★ 40 cited

Mott-Superfluid Transition for Spin-Orbit Coupled Bosons in One-Dimensional Optical Lattices

Zhihao Xu, William Cole, Shizhong Zhang

We study the effects of spin-orbit coupling on the Mott-superfluid transition of bosons in a one-dimensional optical lattice. We determine the strong coupling magnetic phase diagra…

cond-mat.str-el2013

Topological insulator states in quasi-one-dimensional sawtooth chain

Zhihao Xu, Linhu Li

We report the discovery of flatten Bloch bands with nontrivial topological numbers in a quasi-one-dimensional sawtooth chain. We present the nearly flat-band with a obvious gap and…

cond-mat.str-el2013★ 30 cited

Topological nature of magnetization plateaus in periodically modulated quantum spin chains

Haiping Hu, Chen Cheng, Zhihao Xu +2

We unveil nontrivial topological properties of zero-temperature magnetization plateau states in periodically modulated quantum spin chains under a uniform magnetic field. As positi…

cond-mat.mes-hall2013★ 279 cited

Topological phases of generalized Su-Schrieffer-Heeger models

Linhu Li, Zhihao Xu, Shu Chen

We study the extended Su-Schrieffer-Heeger model with both the nearest-neighbor and next-nearest-neighbor hopping strengths being cyclically modulated and find the family of the mo…

cond-mat.quant-gas2013★ 32 cited

Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices

Zhihao Xu, Shu Chen

We present exactly solvable examples that topological Mott insulators can emerge from topologically trivial states due to strong interactions between atoms for atomic mixtures trap…

cond-mat.quant-gas2012★ 58 cited

Fractional topological states of dipolar fermions in one-dimensional optical superlattices

Zhihao Xu, Linhu Li, Shu Chen

We study the properties of dipolar fermions trapped in one-dimensional bichromatic optical lattices and show the existence of fractional topological states in the presence of stron…

cond-mat.quant-gas2012★ 5 cited

Wigner crystal versus Fermionization for one-dimensional Hubbard models with and without long-range interactions

Zhihao Xu, Linhu Li, Gao Xianlong +1

The ground state properties of Hubbard model with or without long-range interactions in the regime with strongly repulsive on-site interaction are investigated by means of the exac…

cond-mat.quant-gas2011★ 4 cited

Wigner crystal induced by dipole-dipole interaction in one-dimensional optical lattices

Zhihao Xu, Shu Chen

We demonstrate that the static structure factor, momentum distribution and density distribution provide clear signatures of the emergence of Wigner crystal for the fermionic dipola…