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We use Dirac quantization of flux to study fractional charges and axion angles \theta in interacting topological insulators with gapless surface modes protected by time-reversal symmetry. In interacting topological insulators, there are two…

强关联电子 · 物理学 2010-10-12 K. -S. Park , H. Han

We study the nonadiabatic dynamics of a two-dimensional higher-order topological insulator when the system is slowly quenched across the boundary-obstructed phase transition, which is characterized by edge band gap closing. We find that the…

统计力学 · 物理学 2024-07-29 Menghua Deng , Zhoujian Sun , Fuxiang Li

This article studies a non-Hermitian Su-Schrieffer-Heeger (SSH) model which has periodically staggered Hermitian and non-Hermitian dimers. The changes in topological phases of the considered chiral symmetric model with respect to the…

量子物理 · 物理学 2024-12-30 A Niveth , S Karthiga , M Senthilvelan

Topological edge states in Chern insulators are typically characterized by a linear dispersion relation inherited from the Dirac structure of the bulk Hamiltonian. Here we show that this paradigm can be fundamentally altered in systems with…

介观与纳米尺度物理 · 物理学 2026-05-06 Marta García Olmos , David Martín Tejedor , Mario Amado , Yuriko Baba , Rafael A. Molina

We study the vanishing of the topological properties of a quantum spin Hall insulator induced by a deformation of the band structure that interpolates between the Dirac and the semi-Dirac limits of a tight-binding model on a honeycomb…

介观与纳米尺度物理 · 物理学 2022-06-22 Sayan Mondal , Saurabh Basu

We consider the Kane-Mele-Hubbard model with a magnetic $\pi$ flux threading each honeycomb plaquette. The resulting model has remarkably rich physical properties. In each spin sector, the noninteracting band structure is characterized by a…

强关联电子 · 物理学 2014-08-26 Martin Bercx , Martin Hohenadler , Fakher F. Assaad

Two-dimensional (2D) metallic altermagnets present exciting opportunities for both fundamental research and practical innovations. Their ability to enhance tunneling magnetoresistance in magnetic tunnel junctions, combined with the direct…

介观与纳米尺度物理 · 物理学 2026-02-24 Raghottam M. Sattigeri , Xujia Gong , Amar Fakhredine , Carmine Autieri , Giuseppe Cuono

For heterostructures formed by a quantum spin Hall insulator (QSHI) placed in proximity to a superconductor (SC), no external magnetic field is necessary to drive the system into a phase supporting topological superconductivity with…

If a full band gap closes and then reopens when we continuously deform a periodic system while keeping its symmetry, a topological phase transition usually occurs. A common model demonstrating such a topological phase transition in…

经典物理 · 物理学 2018-11-26 Xin Li , Yan Meng , Xiaoxiao Wu , Sheng Yan , Yingzhou Huang , Shuxia Wang , Weijia Wen

In two-dimensional systems with space-time inversion symmetry, such as $C_{2z}T$, the reality condition on wave functions gives rise to real band topology characterized by the Euler class, a $\mathbb{Z}$-valued topological invariant for a…

介观与纳米尺度物理 · 物理学 2026-03-30 Yutaro Tanaka , Shingo Kobayashi

We investigate the Loschmidt amplitude and dynamical quantum phase transitions in multiband one dimensional topological insulators. For this purpose we introduce a new solvable multiband model based on the Su-Schrieffer-Heeger model,…

介观与纳米尺度物理 · 物理学 2020-01-09 Tomasz Masłowski , Nicholas Sedlmayr

We study the higher-order topological spin phases based on a spin analogue of Benalcazar-Bernevig-Hughes model in two dimensions using large-scale quantum Monte Carlo simulations. A continuous N\'eel-valence bond solid quantum phase…

强关联电子 · 物理学 2021-11-11 Jiaojiao Guo , Junsong Sun , Xingchuan Zhu , Chang-An Li , Huaiming Guo , Shiping Feng

A Brillouin zone is the unit for the momentum space of a crystal. It is topologically a torus, and distinguishing whether a set of wave functions over the Brillouin torus can be smoothly deformed to another leads to the classification of…

介观与纳米尺度物理 · 物理学 2022-04-27 Z. Y. Chen , Shengyuan A. Yang , Y. X. Zhao

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

介观与纳米尺度物理 · 物理学 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

介观与纳米尺度物理 · 物理学 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

We formulate the tight-binding model for cubic $\alpha$-Sn based on the DFT calculations. In the model, we incorporate a variable bond angle, which allows us to simulate the effect of the in-plane strain. In the bulk, we demonstrate the…

介观与纳米尺度物理 · 物理学 2025-12-01 Jan Skolimowski , Nguyen Minh Nguyen , Giuseppe Cuono , Carmine Autieri , Wojciech Brzezicki

The Su-Schrieffer-Heeger chain is a prototype example of a symmetry-protected topological insulator. Coupling it non-perturbatively to local thermal environments, either through the intercell or the intracell fermion tunneling elements,…

介观与纳米尺度物理 · 物理学 2024-09-11 Brett Min , Kartiek Agarwal , Dvira Segal

In this work we study many-body 'steady states' that arise in the non-Hermitian generalisation of the non-interacting Su-Schrieffer-Heeger model at a finite density of fermions. We find that the hitherto known phase diagrams for this…

介观与纳米尺度物理 · 物理学 2022-05-17 Ayan Banerjee , Suraj S. Hegde , Adhip Agarwala , Awadhesh Narayan

Topological insulators exhibit boundary states protected by bulk band topology, a principle first established in quantum systems and later extended to classical waves, including phononics. Conventionally, an $n$-dimensional bulk with…

介观与纳米尺度物理 · 物理学 2025-11-26 Joel R. Pyfrom , Kai Sun , Jihong A. Ma

Topological invariants are a significant ingredient in the study of topological phases of matter that intertwines the supposedly contradicting concepts of bulk and boundary. The nature of the invariants differ depending on the dimension of…

介观与纳米尺度物理 · 物理学 2023-11-28 Srijata Lahiri , Saurabh Basu