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The criteria for strong correlations on surfaces of three-dimensional topological insulators are discussed. Usually, the Coulomb repulsion at such surfaces is too weak for driving a phase transition to a strongly correlated regime. I…

Strongly Correlated Electrons · Physics 2012-11-09 Manuel J. Schmidt

We theoretically study the phonon mediated intersurface electron-electron interactions on the pseudo two-dimensional metallic states at the two surfaces of a three-dimensional topological insulator. From a model of a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 Tetsuro Habe

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

The topological properties of materials are, until now, associated with the features of their crystalline structure, although translational symmetry is not an explicit requirement of the topological phases. Recent studies of hopping models…

Topological crystalline insulators are phases of matter where the crystalline symmetries solely protect the topology. In this work, we explore the effect of many-body interactions in a subclass of topological crystalline insulators, namely…

Strongly Correlated Electrons · Physics 2023-05-25 Devendra Singh Bhakuni , Amrita Ghosh , Eytan Grosfeld

The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 You Wang , Hannah M. Price , Baile Zhang , Y. D. Chong

We propose a minimal interacting lattice model for two-dimensional class-$D$ higher-order topological superconductors with no free-fermion counterpart. A Lieb-Schultz-Mattis-type constraint is proposed and applied to guide our lattice model…

Strongly Correlated Electrons · Physics 2023-08-15 Hao-Ran Zhang , Jian-Hao Zhang , Zheng-Cheng Gu , Rui-Xing Zhang , Shuo Yang

Topological insulators in three dimensions are studied as a problem of supersymmetric quantum mechanics. The spin-orbit coupling is induced as a consequence of the supersymmetrization procedure and we show that it is equivalent to the…

High Energy Physics - Theory · Physics 2022-04-13 J. Gamboa , F. Mendez

Activating transitions between a set of atomic internal states has emerged as an elegant scheme by which lattice models can be designed in ultracold atomic gases. In this approach, the internal states can be viewed as fictitious lattice…

Quantum Gases · Physics 2021-01-04 L. Barbiero , L. Chomaz , S. Nascimbene , N. Goldman

The magnetoelectric effect predicted in topological insulators makes heterostructures that combine magnetic materials and such insulators promising candidates for spintronics applications. Here, we theoretically consider a setup that…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Stefan Rex , Flavio S. Nogueira , Asle Sudbo

Topological phases of matter have been extensively studied for their intriguing bulk and edge properties. Recently, higher-order topological insulators with boundary states that are two or more dimensions lower than the bulk states, have…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Xiujuan Zhang , Bi-Ye Xie , Hong-Fei Wang , Xiangyuan Xu , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

We engineer topological insulating phases in a fermion-fermion mixture on the honeycomb lattice, without resorting to artificial gauge fields or spin-orbit couplings and considering only local interactions. Essentially, upon integrating out…

Strongly Correlated Electrons · Physics 2016-05-26 Tianhan Liu , Benoît Douçot , Karyn Le Hur

High-efficiency energy harvesting of ultrasonic elastic waves are crucial for powering electric gadgets in many emerging technologies such as wearable devices, wireless sensing, and biomedical implants. Although topological phononic…

Optics · Physics 2026-02-04 Jiamin Guo , Zhongming Gu , Lei Fan , Jie Liu , Yafeng Chen , Zhongqing Su , Jie Zhu

An incident wave at a temporal interface, created by an abrupt change in system parameters, generates time-refracted and time-reflected waves. We find topological characteristics associated with the temporal interface that separates…

Optics · Physics 2025-04-25 Huisheng Xu , Zhaohui Dong , Luqi Yuan , Liang Jin

We study the interface between a fractional topological insulator and an ordinary insulator, both described using holography. By turning on a chemical potential we induce a finite density of matter localized at the interface. These are…

High Energy Physics - Theory · Physics 2013-05-30 Moshe Rozali

The search for topological superconductors is one of the most pressing and challenging questions in condensed matter and material research. Despite some early suggestions that doping a topological insulator might be a successful recipe to…

Superconductivity · Physics 2022-03-22 Sebastian Wolf , Tyler Gardener , Karyn Le Hur , Stephan Rachel

We discuss how one can realize a photonic device that combines synthetic dimensions and synthetic magnetic fields with spatially local interactions. Using an array of ring cavities, the angular coordinate around each cavity spans the…

Quantum Gases · Physics 2017-01-05 Tomoki Ozawa , Iacopo Carusotto

We investigate the expansion of bosons and fermions in a homogeneous lattice after a sudden removal of the trapping potential using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott…

Quantum Gases · Physics 2013-12-18 L. Vidmar , S. Langer , I. P. McCulloch , U. Schneider , U. Schollwoeck , F. Heidrich-Meisner

Topological insulators with a time reversal symmetry breaking perturbation near the surface present a magnetoelectric response that is quantized when the frequency of the probing fields is much smaller than the surface gap induced by the…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Adolfo G. Grushin , Fernando de Juan
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