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Topological crystalline insulators (TCIs) are classified by topological invariants defined with respect to the crystalline symmetries of their gapped bulk. The bulk-boundary correspondence then links the topological properties of the bulk…

介观与纳米尺度物理 · 物理学 2024-12-24 Gengming Liu , Violet Workman , Jiho Noh , Yuhao Ma , Taylor L. Hughes , Wladimir A. Benalcazar , Gaurav Bahl

Nanostructures, such a quantum dots or nanoparticles, made of three-dimensional topological insulators (3DTIs) have been recently attracting increasing interest, especially for their optical properties. In this paper we calculate the energy…

介观与纳米尺度物理 · 物理学 2022-11-23 Michele Governale , Fabio Taddei

Two-dimensional Na$_3$Bi is a dual topological insulator protected by time-reversal and mirror symmetry, resulting in a promising platform for devices design. However, in reality, the design of topological devices is hindered by a…

介观与纳米尺度物理 · 物理学 2021-03-01 Bruno Focassio , Gabriel R. Schleder , Armando Pezo , Marcio Costa , Adalberto Fazzio

Topological materials with both insulating and semimetal phases can be protected by crystalline (e.g. mirror) symmetry. The insulating phase, called topological crystalline insulator (TCI), has been intensively investigated and observed in…

Topological crystalline insulators (TCIs) host topological phases of matter protected by crystal symmetries. Topological surface states in three-dimensional TCIs have been predicted and observed in IV-VI SnTe-class semiconductors. Despite…

介观与纳米尺度物理 · 物理学 2026-01-30 Liwei Jing , Mohammad Amini , Adolfo O. Fumega , Orlando J. Silveira , Jose L. Lado , Peter Liljeroth , Shawulienu Kezilebieke

Topological crystalline insulators (TCI) are insulating electronic phases of matter with nontrivial topology originating from crystalline symmetries. Recent theoretical advances have provided powerful guidelines to search for TCIs in real…

Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

Three-dimensional topological (crystalline) insulators are materials with an insulating bulk, but conducting surface states which are topologically protected by time-reversal (or spatial) symmetries. Here, we extend the notion of…

介观与纳米尺度物理 · 物理学 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

数学物理 · 物理学 2018-08-16 Guillaume Bal

The established diversity of electronic topology classes lends the opportunity to pair them into dual topological complexes. Bulk-surface correspondence then ensures the coexistence of a combination of boundary states that cannot be…

介观与纳米尺度物理 · 物理学 2018-06-12 Nurit Avraham , Andrew Norris , Yan Sun , Yanpeng Qi , Lin Pan , Anna Isaeva , Alexander Zeugner , Claudia Felser , Binghai Yan , Haim Beidenkopf

We study the effect of electron interactions in topological crystalline insulators (TCIs) protected by mirror symmetry, which are realized in the SnTe material class and host multi-valley Dirac fermion surface states. We find that…

强关联电子 · 物理学 2015-08-19 Hiroki Isobe , Liang Fu

The interplay between topology and crystalline symmetries in materials can lead to a variety of topological crystalline insulator (TCI) states. Despite significant effort towards their experimental realization, so far only…

Topological insulators (TIs) are a novel class of materials with nontrivial surface or edge states. Time-reversal symmetry (TRS) protected TIs are characterized by the Z2 topological invariant and their helical property becomes lost in an…

介观与纳米尺度物理 · 物理学 2015-03-10 Lingjie Du , Ivan Knez , Gerard Sullivan , Rui-Rui Du

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the…

介观与纳米尺度物理 · 物理学 2018-09-19 Motohiko Ezawa

A two-dimensional topological crystalline insulator (TCI) with a single unit cell (u.c.) thickness is demonstrated here. To that end, one first shows that tetragonal ($C_4$ in-plane) symmetry is not a necessary condition for the creation of…

介观与纳米尺度物理 · 物理学 2022-11-11 Salvador Barraza-Lopez , Gerardo G. Naumis

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

介观与纳米尺度物理 · 物理学 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

We show that electrons in ordinary III-V semiconductor double wells with an in-plane modulating periodic potential and inter well spin-orbit interaction are tunable Topological Insulators (TIs). Here the essential TI ingredients, namely,…

介观与纳米尺度物理 · 物理学 2015-02-10 Sigurdur I. Erlingsson , J. Carlos Egues

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

强关联电子 · 物理学 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

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
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