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We study the effect of interactions on the properties of a model 2D topological Kondo insulator phase. Loosely motivated by recent proposals where graphene is hybridized with impurity bands from heavy adatoms with partially filled d-shells,…

Strongly Correlated Electrons · Physics 2015-06-17 Jason Iaconis , Leon Balents

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…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Alexander Zyuzin , Mohammad Alidoust , Jelena Klinovaja , Daniel Loss

Topological phases of matter are classified based on symmetries, with nonsymmorphic symmetries like glide reflections and screw rotations being of particular importance in the classification. In contrast to extensively studied glide…

Mesoscale and Nanoscale Physics · Physics 2024-04-29 Yu-Liang Tao , Mou Yan , Mian Peng , Qiang Wei , Zhenxing Cui , Shengyuan A. Yang , Gang Chen , Yong Xu

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

Strongly Correlated Electrons · Physics 2013-03-14 Ashvin Vishwanath , T. Senthil

The gapless chiral hinge states of three dimensional second-order topological insulators (SOTIs) support a quantized conductance plateau on thick nanowire. Here, we numerical study the conductance of SOTI constrictions. According to finite…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Junyu Luo , Kun Luo

We unravel a fundamental connection between supersymmetry and a wide class of two dimensional second-order topological insulators (SOTI). This particular supersymmetry is induced by applying a half-integer Aharonov-Bohm flux…

Mesoscale and Nanoscale Physics · Physics 2023-07-13 Clara S. Weber , Mikhail Pletyukhov , Zhe Hou , Dante M. Kennes , Jelena Klinovaja , Daniel Loss , Herbert Schoeller

We investigate a generalized multi-orbital tight-binding model on a triangular lattice, a system prevalent in a wide range of two-dimensional materials, and particularly relevant for simulating transition metal dichalcogenide monolayers. We…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Anderson L. R. Barbosa , Luis M. Canonico , Jose H. García , Tatiana G. Rappoport

We propose a realization of a quantum Hall effect (QHE) in a second-order topological insulator (SOTI) in three dimensions (3D), which is mediated by hinge states on a torus surface. It results from the nontrivial interplay of the material…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 Zhe Hou , Clara S. Weber , Dante M. Kennes , Daniel Loss , Herbert Schoeller , Jelena Klinovaja , Mikhail Pletyukhov

We consider multi-terminal transport through a flake of rectangular shape of a two-dimensional topological insulator in the presence of an in-plane magnetic field. This system has been shown to be a second-order topological insulator, thus…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Joseph Poata , Fabio Taddei , Michele Governale

It is shown that finite size effects in the free energy of a rough interface of the 3D Ising and three--state Potts models are well described by the capillary wave model at {\em two--loop} order. The agreement between theoretical…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , P. Provero , S. Vinti

We study the quantum Hall effect in the surface states of topological insulator in the presence of a perpendicular magnetic field in the framework of edge states. Motion of Dirac fermions will form descrete Landau levels, among which a…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Shun-Qing Shen

We examine the properties of edge states in a two-dimensional topological insulator. Based on the Kane-Mele model, we derive two coupled equations for the energy and the effective width of edge states at a given momentum in a semi-infinite…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Hyeonjin Doh , Gun Sang Jeon

We study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. These fall into the category of "higher-order" topological insulators and superconductors which possess surface states that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Eslam Khalaf

We explore novel topological responses and axion-like phenomena in three-dimensional insulating systems with spacetime-dependent mass terms encoding domain walls. Via a dimensional-reduction approach, we derive a new axion-electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2025-04-24 Giandomenico Palumbo

Topological phases in two-dimensional quantum lattice models are often studied on cylinders for revealing different topological properties and making the problem numerically tractable. This makes a proper understanding of…

Strongly Correlated Electrons · Physics 2025-10-31 Felix A. Palm , Chloé Van Bastelaere , Laurens Vanderstraeten

We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Ryo Okugawa , Shin Hayashi , Takeshi Nakanishi

We consider a system of weakly coupled one-dimensional wires forming a three-dimensional stack in the presence of a spatially periodic modulation of the chemical potential along the wires, equivalent to a charge density wave (CDW). An…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Paweł Szumniak , Daniel Loss , Jelena Klinovaja

Topological surface-states can acquire an energy gap when time-reversal symmetry is broken by interfacing with a magnetic insulator. This gap has yet to be measured. Such topological-magnetic insulator heterostructures can host a quantized…

We study positions of chiral hinge states in higher-order topological insulators (HOTIs) with inversion symmetry. First, we exhaust all possible configurations of the hinge states in the HOTIs in all type-I magnetic space groups with…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Yutaro Tanaka , Ryo Takahashi , Tiantian Zhang , Shuichi Murakami

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…

Mesoscale and Nanoscale Physics · Physics 2018-06-05 Frank Schindler , Ashley M. Cook , Maia G. Vergniory , Zhijun Wang , Stuart S. P. Parkin , B. Andrei Bernevig , Titus Neupert