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The boundary of a topological insulator (TI) hosts an anomaly restricting its possible phases: e.g. 3D strong and weak TIs maintain surface conductivity at any disorder if symmetry is preserved on-average, at least when electron…

Strongly Correlated Electrons · Physics 2020-01-22 Itamar Kimchi , Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

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…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 K. E. Nagaev

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…

Strongly Correlated Electrons · Physics 2013-03-08 M. Hohenadler , F. F. Assaad

The pseudogap state of high temperature superconductors is a profound mystery. It has tantalizing evidence of a number of broken symmetry states, not necessarily conventional charge and spin density waves. Here we explore a class of more…

Superconductivity · Physics 2011-10-17 Chen-Hsuan Hsu , S. Raghu , Sudip Chakravarty

We show that a magnetic line defect on the surface of a topological insulator generically supports two distinct branches of spin-polarized and current carrying one-dimensional bound states. We identify the components of magnetic scattering…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Eklavya Thareja , Ilya Vekhter

We demonstrate theoretically an atomic liquid phase that supports topologically nontrivial electronic structure. A minimum two-orbital model of liquid topological insulator in two dimensions is constructed within the framework of…

Mesoscale and Nanoscale Physics · Physics 2019-06-07 Gia-Wei Chern

The electronic and optical properties of low-dimensional semiconductors are typically quite different from those of their bulk counterparts. Yet, the optical gap of two-dimensional copper antimony disulfide (CuSbS$_2$) does not dramatically…

Mesoscale and Nanoscale Physics · Physics 2021-08-24 Kevin M. Conley , Caterina Cocchi , Tapio Ala-Nissila

Designing photonic topological insulators is highly non-trivial because it requires inversion of band symmetries around the band gap, which was so far done using intuition combined with meticulous trial and error. Here we take a completely…

Mesoscale and Nanoscale Physics · Physics 2019-04-18 Rasmus E. Christiansen , Fengwen Wang , Ole Sigmund , Søren Stobbe

Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Topological invariants are conventionally known to be responsible for protection of extended states against disorder. A prominent example is the presence of topologically protected extended-states in two-dimensional (2D) quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Bohm-Jung Yang , Mohammad Saeed Bahramy , Naoto Nagaosa

Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Josias Langbehn , Yang Peng , Luka Trifunovic , Felix von Oppen , Piet W. Brouwer

Confined samples of liquid crystals are characterized by a variety of topological defects and can be exposed to external constraints such as extreme confinements with nontrivial topology. Here we explore the intrinsic structure of smectic…

Soft Condensed Matter · Physics 2021-02-03 René Wittmann , Louis B. G. Cortes , Hartmut Löwen , Dirk G. A. L. Aarts

We study the localization properties of a test dipole feeling the disordered potential induced by dipolar impurities trapped at random positions in an optical lattice. This random potential is marked by correlations which are a convolution…

Quantum Gases · Physics 2013-09-20 M. Larcher , C. Menotti , B. Tanatar , P. Vignolo

Ultra-cold atoms in 1D bi-chromatic lattices constitute a surprisingly simple system for the study of topological insulators. We show that topological phase transitions constitute a general feature of bosons in 1D bi-chromatic lattices, and…

Quantum Gases · Physics 2014-04-01 Xiaolong Deng , Luis Santos

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Photonic topological states have revolutionized our understanding on the propagation and scattering of light. Recent discovery of higher-order photonic topological insulators opens an emergent horizon for zero-dimensional topological corner…

Applied Physics · Physics 2021-04-20 Li Zhang , Yihao Yang , Pengfei Qin , Qiaolu Chen , Fei Gao , Erping Li , Jian-Hua Jiang , Baile Zhang , Hongsheng Chen

Second-order topological insulators and superconductors have a gapped excitation spectrum in bulk and along boundaries, but protected zero modes at corners of a two-dimensional crystal or protected gapless modes at hinges of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Max Geier , Luka Trifunovic , Max Hoskam , Piet W. Brouwer

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager

Electronic topological insulators are one of the breakthroughs of the 21st century condensed matter physics. So far, the search for a light counterpart of an electronic topological insulator has remained elusive. This is due to the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Mario G. Silveirinha

Topological phases of matter are generally characterized by topological properties of energy bands of a system. Their transitions under preserved symmetries occur through closing a gap of energy bands, leading to topologically protected…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yan-Bin Yang , Kai Li , Yong Xu