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topological anderson insulator in two-dimensional non-Hermitian systems

Chinese Physics B 2020年第5期29卷 13-21页

作者： Hongfang Liu Zixian Su Zhi-Qiang Zhang Hua Jiang School of Physics and Technology Soochow UniversitySuzhou 215006China Institute for Advanced Study Soochow UniversitySuzhou 215006China

We study the disorder-induced phase transition in two-dimensional non-Hermitian ***,the applicability of the noncommutative geometric method(NGM)in non-Hermitian systems is *** calculating the Chern number of two different systems(a square sample and a cylindrical one),the numerical results calculated by NGM are compared with the analytical one,and the phase boundary obtained by NGM is found to be in good agreement with the theoretical ***,we use NGM to investigate the evolution of the Chern number in non-Hermitian samples with the disorder *** the square sample,the stability of the non-Hermitian Chern insulator under disorder is ***,we obtain a nontrivial topological phase induced by *** phase is understood as the topological anderson insulator in non-Hermitian ***,the disordered phase transition in the cylindrical sample is also *** clean non-Hermitian cylindrical sample has three phases,and such samples show more phase transitions by varying the disorder strength:(1)the normal insulator phase to the gapless phase,(2)the normal insulator phase to the topological anderson insulator phase,and(3)the gapless phase to the topological anderson insulator phase.

关键词： disorder effect topological anderson insulator non-Hermitian systems

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Observation of an acoustic non-Hermitian topological anderson insulator

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Science China(Physics,Mechanics & Astronomy) 2023年第9期66卷 57-62页

作者： Zhongming Gu He Gao Haoran Xue Di Wang Jiamin Guo Zhongqing Su Baile Zhang Jie Zhu Institute of Acoustics School of Physics Science and EngineeringTongji UniversityShanghai 200092China Department of Mechanical Engineering The Hong Kong Polytechnic UniversityHong Kong 999077China Division of Physics and Applied Physics School of Physical and Mathematical SciencesNanyang Technological UniversitySingapore 637371Singapore Centre for Disruptive Photonic Technologies Nanyang Technological UniversitySingapore 637371Singapore

The interaction of band topology and disorder can give rise to intriguing *** paradigmatic example is the topological anderson insulator,whose nontrivial topology is induced in a trivial system by *** this study,we investigate the efect of purely non-Hermitian disorders on topological systems using a one-dimensional acoustic lattice with coupled ***,we construct a theoretical framework to describe the non-Hermitian topological anderson insulator phase solely driven by disordered loss ***,the complete evolution of non-Hermitian disorder-induced topological phase transitions,from an initial trivial phase to a topological anderson phase and finally to a trivial anderson phase,is revealed experimentally using both bulk and edge ***,topological modes induced by non-Hermitian disorders to be immune to both weak Hermitian and non-Hermitian *** findings pave the way for future research on disordered non-Hermitian systems for novel wave manipulation.

关键词： topological anderson insulator non-Hermitian systems topological edge states

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topological and dynamical phase transitions in the Su–Schrieffer–Heeger model with quasiperiodic and long-range hoppings

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Communications in Theoretical Physics 2022年第7期74卷 146-153页

作者： Wei-Jie Zhang Yi-Piao Wu Ling-Zhi Tang Guo-Qing Zhang Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials School of Physics and Telecommunication EngineeringSouth China Normal UniversityGuangzhou 510006China Guangdong-Hong Kong Joint Laboratory of Quantum Matter Frontier Research Institute for PhysicsSouth China Normal UniversityGuangzhou 510006China

Disorders and long-range hoppings can induce exotic phenomena in condensed matter and artificial *** study the topological and dynamical properties of the quasiperiodic SuSchrier-Heeger model with long-range *** is found that the interplay of quasiperiodic disorder and long-range hopping can induce topological anderson insulator phases with nonzero winding numbers ω=1,2,and the phase boundaries can be consistently revealed by the divergence of zero-energy mode localization *** also investigate the nonequilibrium dynamics by ramping the long-range hopping along two different *** critical exponents extracted from the dynamical behavior agree with the Kibble-Zurek mechanic prediction for the path with W=*** particular,the dynamical exponent of the path crossing the multicritical point is numerical obtained as 1/6~0.167,which agrees with the unconventional finding in the previously studied XY spin ***,we discuss the anomalous and non-universal scaling of the defect density dynamics of topological edge states in this disordered system under open boundary condictions.

关键词： topological anderson insulator higher winding number Kibble-Zurek machanic

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