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We propose a geometric criterion of the topological phase transition for non-Hermitian systems. We define the length of the boundary of the bulk band in the complex energy plane for non-Hermitian systems. For one-dimensional systems, we…

Quantum Physics · Physics 2023-08-14 Annan Fan , Shi-Dong Liang

The interplay between non-Hermiticity and topology opens an exciting avenue for engineering novel topological matter with unprecedented properties. While previous studies have mainly focused on one-dimensional systems or Chern insulators,…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

We present measurements of a topological property, the Chern number ($C_\mathrm{1}$), of a closed manifold in the space of two-level system Hamiltonians, where the two-level system is formed from a superconducting qubit. We manipulate the…

The quantum phase transition between topological and non-topological insulators or between fully gapped superfluids/superconductors can occur without closing the gap. We consider the evolution of the Majorana edge states on the surface of…

Strongly Correlated Electrons · Physics 2015-05-30 M. A. Silaev , G. E. Volovik

Tricritical Ising (TCI) phase transition is known to occur in several interacting spin and Majorana fermion models and is described in terms of a supersymmetric conformal field theory (CFT) with central charge $c=7/10$. The field content of…

Strongly Correlated Electrons · Physics 2020-10-15 Chengshu Li , Hiromi Ebisu , Sharmistha Sahoo , Yuval Oreg , Marcel Franz

Tuning the spin-orbit coupling strength via foreign element doping and/or modifying bonding strength via strain engineering are the major routes to convert normal insulators to topological insulators. We here propose an alternative strategy…

Materials Science · Physics 2015-11-19 Wu-Jun Shi , Junwei Liu , Yong Xu , Shi-Jie Xiong , Jian Wu , Wenhui Duan

A topological phase transition from a trivial insulator to a $\mathbb{Z}_2$ topological insulator requires the bulk band gap to vanish. In the case of noncentrosymmetric materials, these phases are separated by a gapless Weyl semimetal…

Materials Science · Physics 2020-05-20 Véronique Brousseau-Couture , Gabriel Antonius , Michel Côté

The surface state of a 3D topological insulator (3DTI) is a spin-momentum locked conductive state, whose large spin hall angle can be used for the energy-efficient spin orbit torque based switching of an overlying ferromagnet (FM).…

Mesoscale and Nanoscale Physics · Physics 2022-12-20 Hamed Vakili , Samiran Ganguly , George J. de Coster , Mahesh R. Neupane , Avik W. Ghosh

We investigate the topological phase transition with large Chern number in a coupled layer system. The topological transitions between different topological superfluids can be realized by controlling the binding energy, interlay tunneling…

Quantum Gases · Physics 2015-04-29 Beibing Huang , Jeffrey Chun Fai Chan , Ming Gong

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

Three-dimensional (3D) topological Dirac semimetal, when thinned down to 2D few layers, is expected to possess gapped Dirac nodes via quantum confinement effect and concomitantly display the intriguing quantum spin Hall (QSH) insulator…

Materials Science · Physics 2019-08-15 Huinan Xia , Yang Li , Min Cai , Le Qin , Nianlong Zou , Lang Peng , Wenhui Duan , Yong Xu , Wenhao Zhang , Ying-Shuang Fu

Topological insulators (TIs) are newly discovered states of matter with robust metallic surface states protected by the topological properties of the bulk wavefunctions. A quantum phase transition (QPT) from a TI to a conventional insulator…

Strongly Correlated Electrons · Physics 2014-01-03 Liang Wu , M. Brahlek , R. Valdés Aguilar , A. V. Stier , C. M. Morris , Y. Lubashevsky , L. S. Bilbro , N. Bansal , S. Oh , N. P. Armitage

We give a general introduction to quantum phase transitions in strongly-correlated electron systems. These transitions which occur at zero temperature when a non-thermal parameter $g$ like pressure, chemical composition or magnetic field is…

Strongly Correlated Electrons · Physics 2009-11-07 M. Lavagna

We find a series of topological phase transitions in a half-metal/superconductor heterostructure, by tuning the direction of the magnetization of the half-metal film. These include transitions between a topological superconducting phase…

Superconductivity · Physics 2016-10-18 Lei Hao , C. S. Ting

By constructing an exactly solvable spin model, we investigate the critical behaviors of transverse field Ising chains interpolated with cluster interactions, which exhibit various types of topologically distinct Ising critical points.…

Strongly Correlated Electrons · Physics 2024-07-12 Xue-Jia Yu , Wei-Lin Li

We propose a new method to identify transitions from a topological insulator to a band insulator in silicene (the silicon equivalent of graphene) in the presence of perpendicular magnetic and electric fields, by using the R\'enyi-Wehrl…

Mesoscale and Nanoscale Physics · Physics 2015-02-25 M. Calixto , E. Romera

Topological phase transitions provide a unique window into the interplay between structure, magnetism, and Weyl physics in magnetic Weyl semimetals. However, realizing an intrinsic Weyl phase transition between two distinct Weyl states near…

Strongly Correlated Electrons · Physics 2026-04-21 Tsung-Han Yang , Satoshi Okamoto , D. Alan Tennant , Michael A. McGuire , Qiang Zhang

Recent works have proved the existence of symmetry-protected edge states in certain one-dimensional topological band insulators and superconductors at the gap-closing points which define quantum phase transitions between two topologically…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Oleksandr Balabanov , Daniel Erkensten , Henrik Johannesson

We investigate the order of the topological quantum phase transition in a two dimensional quadrupolar topological insulator within a thermodynamic approach. Using numerical methods, we separate the bulk, edge and corner contributions to the…

Statistical Mechanics · Physics 2020-05-06 R. Arouca , S. N. Kempkes , C. Morais Smith

We describe how the three-dimensional quantum spin Hall phase arises from the insulator phase by changing an external parameter. In 3D systems without inversion symmetry, a gapless phase should appear between the two phases with a bulk gap.…

Mesoscale and Nanoscale Physics · Physics 2008-10-14 Shuichi Murakami , Shun-ichi Kuga