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Exploring new topological phenomena and functionalities induced by strong electron correlation has been a central issue in modern condensed-matter physics. One example is a topological insulator (TI) state and its functionality driven by…

强关联电子 · 物理学 2023-04-21 Tetsuya Nomoto , Shusaku Imajo , Hiroki Akutsu , Yasuhiro Nakazawa , Yoshimitsu Kohama

Higher order topological insulators (HOTIs) are a novel form of insulating quantum matter, which are characterized by having gapped boundaries that are separated by gapless corner or hinge states. Recently, it has been proposed that the…

强关联电子 · 物理学 2021-08-25 Julian May-Mann , Taylor L. Hughes

We investigate the effect of spatially correlated disorder on two-dimensional topological insulators and on the quantum spin Hall effect which the helical edge states in these systems give rise to. Our work expands the scope of previous…

介观与纳米尺度物理 · 物理学 2013-07-15 A. Girschik , F. Libisch , S. Rotter

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

We study transport across either a potential or a magnetic barrier which is placed on the top surface of a three-dimensional thin topological insulator (TI). For such thin TIs, the top and bottom surfaces interact via a coupling $\lambda$…

介观与纳米尺度物理 · 物理学 2018-11-28 Adithi Udupa , K. Sengupta , Diptiman Sen

The counterpropagating edge states of a two-dimensional topological insulator (TI) carry electrons of opposite spins. We investigate the transport properties of edge states in a two-dimensional TI which is contacted to ferromagnetic leads.…

介观与纳米尺度物理 · 物理学 2012-09-25 Yuan Li , M. B. A. Jalil , Seng Ghee Tan , GuangHui Zhou

We investigate correlation effects in two dimensional topological insulators (TI). In the first part, we discuss finite size effects for interacting systems of different sizes in a ribbon geometry. For large systems, there are two pairs of…

强关联电子 · 物理学 2015-06-04 Y. Tada , R. Peters , M. Oshikawa , A. Koga , N. Kawakami , S. Fujimoto

We study the transition between the two-dimensional topological insulator (TI) featuring quantized edge conductance and the trivial Anderson insulator (AI) induced by strong disorder. We discover a distinct scaling behavior of TI near the…

介观与纳米尺度物理 · 物理学 2022-10-11 DinhDuy Vu , Sankar Das Sarma

We consider the interplay of disorder and interactions upon the gapless surface states of 3D topological superconductors. The combination of topology and superconducting order inverts the action of time-reversal symmetry, so that extrinsic…

无序系统与神经网络 · 物理学 2014-05-07 Matthew S. Foster , Hong-Yi Xie , Yang-Zhi Chou

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

强关联电子 · 物理学 2013-01-04 Ari M. Turner , Ashvin Vishwanath

For interacting Z_2 topological insulators with inversion symmetry, we propose a simple topological invariant expressed in terms of the parity eigenvalues of the interacting Green's function at time-reversal invariant momenta. We derive…

强关联电子 · 物理学 2012-04-19 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

A topological superconducting wire with an effective time reversal symmetry is known to have a $\mathbb{Z}_8$ topological classification in the presence of interactions. The topological index $|n| \le 4$ counts the number of Majorana end…

介观与纳米尺度物理 · 物理学 2016-04-27 Dganit Meidan , Alessandro Romito , Piet W. Brouwer

Topological insulators with the time reversal symmetry broken exhibit strong magnetoelectric and magneto-optic effects. While these effects are well-understood in or near equilibrium, nonequilibrium physics is richer yet less explored. We…

介观与纳米尺度物理 · 物理学 2019-08-07 M. F. Maghrebi , A. V. Gorshkov , J. D. Sau

Topological insulators have become one of the most active research areas in condensed matter physics. This article reviews progress on the topic of electronic correlations effects in the two-dimensional case, with a focus on systems with…

强关联电子 · 物理学 2013-03-08 M. Hohenadler , F. F. Assaad

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

强关联电子 · 物理学 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

The topological phase in amorphous systems adds a new dimension to the topological states of matter. Here, we present an interesting phenomenon dubbed the topological Anderson amorphous insulator (TAAI). Anderson disorder can drive…

介观与纳米尺度物理 · 物理学 2023-08-25 Xiaoyu Cheng , Tiantao Qu , Liantuan Xiao , Suotang Jia , Jun Chen , Lei Zhang

We calculate supercurrent across a two-dimensional topological insulator subjected to an external magnetic field. When the edge states of a narrow two-dimensional topological insulator are hybridized, an external magnetic field can close…

介观与纳米尺度物理 · 物理学 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

We study the nonequilibrium dynamics of a one-dimensional topological Kondo insulator, modelled by a $p$-wave Anderson lattice model, following a quantum quench of the on-site interaction strength. Our goal is to examine how the quench…

强关联电子 · 物理学 2019-02-27 I. Hagymási , C. Hubig , U. Schollwöck

A global phase diagram of disordered weak and strong topological insulators is established numerically. As expected, the location of the phase boundaries is renormalized by disorder, a feature recognized in the study of the so-called…

介观与纳米尺度物理 · 物理学 2013-06-14 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura

We calculate an AC response of the edge states of a two-dimensional topological insulator, which can exchange electrons with a conducting puddle in the bulk of the insulator. This exchange leads to finite corrections to the response of…

介观与纳米尺度物理 · 物理学 2018-01-31 K. E. Nagaev