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We investigate the Shubnikov-de Haas (SdH) magneto-oscillations in the resistivity of two-dimensional topological insulators (TIs). Within the Bernevig-Hughes-Zhang (BHZ) model for TIs in the presence of a quantizing magnetic field, we…

介观与纳米尺度物理 · 物理学 2024-06-14 Denis R. Candido , Sigurdur I. Erlingsson , João Vitor I. Costa , J. Carlos Egues

Three-dimensional topological insulators have protected Dirac-cone surface states. In this paper we propose magnetic field induced topological insulator thin film ordered states in which coherence is established spontaneously between top…

强关联电子 · 物理学 2013-05-29 Dagim Tilahun , Byounghak Lee , E. M. Hankiewicz , A. H. MacDonald

We study the two-dimensional Kane-Mele-Hubbard model at half filling by means of quantum Monte Carlo simulations. We present a refined phase boundary for the quantum spin liquid. The topological insulator at finite Hubbard interaction…

强关联电子 · 物理学 2012-03-30 M. Hohenadler , Z. Y. Meng , T. C. Lang , S. Wessel , A. Muramatsu , F. F. Assaad

In 2D topological insulators (TIs) based on semiconductor quantum wells such as HgTe/CdTe or InAs/GaSb/AlSb, spin polarized edge states have been predicted with a massless Dirac like dispersion. In a hard wall treatment based on the 4 x 4…

介观与纳米尺度物理 · 物理学 2021-11-17 P. C. Klipstein

In this work, we construct a generalized Kane model with a new coupling term between itinerant electron spins and local magnetic moments of anti-ferromagnetic ordering in order to describe the low energy effective physics in a large family…

材料科学 · 物理学 2017-07-05 Jiabin Yu , Binghai Yan , Chao-Xing Liu

As the novel topological states, the higher-order topological insulators have attracted great attentions in the past years. However, their realizations in realistic materials, in particular in two dimensional systems, remains the big…

We consider a two-dimensional generalization of the Su-Schrieffer-Heeger model which is known to possess a non-trivial topological band structure. For this model, which is characterized by a single parameter, the hopping ratio $0 \leq r\leq…

超导电性 · 物理学 2023-03-29 Ying Wang , Gautam Rai , Stephan Haas , Anuradha Jagannathan

We study the effects of Coulomb repulsive interactions on a Majorana Benalcazar-Bernevig-Hughes (MBBH) model. The MBBH model belongs to the class of second--order topological superconductors ($HOTSC_2$), featuring robust Majorana corner…

强关联电子 · 物理学 2022-03-08 Alfonso Maiellaro , Fabrizio Illuminati , Roberta Citro

Two parallel helical edge channels hosting interacting electrons, when proximitized by local and nonlocal pairings, can host time-reversal-invariant pairs of topological zero modes at the system corners. Here we show that realistic…

介观与纳米尺度物理 · 物理学 2026-02-12 Anna Ohorodnyk , Chen-Hsuan Hsu

This paper provides a pedagogical introduction to recent developments in geometrical and topological band theory following the discovery of graphene and topological insulators. Amusingly, many of these developments have a connection to…

介观与纳米尺度物理 · 物理学 2021-04-27 J. Cayssol , J. -N. Fuchs

We study the quantum phases and phase transitions of the Kane-Mele Hubbard (KMH) model on a zigzag ribbon of honeycomb lattice at a finite size via the weak-coupling renormalization group (RG) approach. In the non-interacting limit, the KM…

强关联电子 · 物理学 2015-06-18 Chung-Hou Chung , Der-Hau Lee , Sung-Po Chao

The non-interacting band structure of spinless fermions in a two-dimensional ($d=2$) $p$-band honeycomb lattice exhibits two quadratic band touching points (QBTPs), which lie at the Fermi levels of filling $\nu=1/4$ and its particle-hole…

强关联电子 · 物理学 2019-07-10 Hua Chen , X. C. Xie

Topological quantum matter is characterized by non-trivial global invariants of the bulk which induce gapless electronic states at its boundaries. A case in point are two-dimensional topological insulators (2D-TI) which host one-dimensional…

介观与纳米尺度物理 · 物理学 2020-01-29 R. Stühler , F. Reis , T. Müller , T. Helbig , T. Schwemmer , R. Thomale , J. Schäfer , R. Claessen

Single-Dirac-cone topological insulators (TI) are the first experimentally discovered class of three dimensional topologically ordered electronic systems, and feature robust, massless spin-helical conducting surface states that appear at…

The dynamics of two-dimensional (2D) topological quadrupole insulator (TQI) and Chern insulator (CI) after the real-space configuration is transformed from a cylinder or Mobius strip to open boundary condition (OBC) and vice versa is…

介观与纳米尺度物理 · 物理学 2019-11-25 Yan He , Chih-Chun Chien

We study topological aspects of a Dirac fermion coupled with a Higgs field associated with the lattice model introduced by Benalcazar et al. which shows the topological quadrupole phase. Using the index theorem, we show that the index of…

介观与纳米尺度物理 · 物理学 2019-04-24 T. Fukui

Higher-order topological insulators in two dimensions have states that localize at their corners, called corner states. In this paper, we reveal characteristics of the penetration depth of their corner states by using the…

介观与纳米尺度物理 · 物理学 2021-07-13 Nobuhiro Arai , Shuichi Murakami

We report the experimental realization of two-dimensional (2D) weak topological insulator (WTI) in spinless Su-Schrieffer-Heeger circuits with parity-time and chiral symmetries. Strong and weak $\mathbb{Z}_2$ topological indexes are adopted…

介观与纳米尺度物理 · 物理学 2022-04-01 Huanhuan Yang , Lingling Song , Yunshan Cao , Peng Yan

We expand the concept of two-dimensional topological insulators to encompass a novel category known as topological dipole insulators (TDIs), characterized by conserved dipole moments along the $x$-direction in addition to charge…

介观与纳米尺度物理 · 物理学 2024-11-20 Ho Tat Lam , Jung Hoon Han , Yizhi You

The three dimensional (3D) topological insulators are predicted to exhibit a 3D Dirac semimetal state in critical regime of topological to trivial phase transition. Here we demonstrate the first experimental evidence of 3D Dirac semimetal…

介观与纳米尺度物理 · 物理学 2016-01-11 Devendra Kumar , Archana Lakhani