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We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in particular on phases protected by symmetries with linear…

Strongly Correlated Electrons · Physics 2023-09-20 Jung Hoon Han , Ethan Lake , Ho Tat Lam , Ruben Verresen , Yizhi You

Topological effects continue to fascinate physicists since more than three decades. One of their main applications are high-precision measurements of the resistivity. We propose to make also use of the spatially separated edge states. It is…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Götz S. Uhrig

Introducing, observing, and manipulating individual impurities coupled to a host material offers the opportunity to create new device concepts based on single spin and charge states. Because of potential applications in spintronics and…

Mesoscale and Nanoscale Physics · Physics 2016-09-29 Paolo Sessi , Thomas Bathon , Konstantin A. Kokh , Oleg E. Tereshchenko , Matthias Bode

Topological properties of quantum systems are one of the most intriguing emerging phenomena in condensed matter physics. A crucial property of topological systems is the symmetry-protected robustness towards local noise. Experiments have…

Quantum Physics · Physics 2022-12-05 Guliuxin Jin , Eliska Greplova

Silicene systems, due to the buckled structure of the lattice, manifest remarkable intrinsic spin-orbit interaction triggering a topological phase transition in the low-energy regime. Thus, we found that protected edge states are present in…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 P. Rakyta , M. Vigh , A. Csordás , J. Cserti

One of the most striking features of quantum mechanics is the appearance of phases of matter with topological origins. These phases result in remarkably robust macroscopic phenomena such as the edge modes in integer quantum Hall systems,…

The topology of orientable (2 + 1)d spacetimes can be captured by certain lumps of non-trivial topology called topological geons. They are the topological analogues of conventional solitons. We give a description of topological geons where…

High Energy Physics - Theory · Physics 2009-10-31 A. P. Balachandran , E. Batista , I. P. Costa e Silva , P. Teotonio-Sobrinho

Topological bound states in the continuum are confined wave-mechanical objects that offer advantageous ways to enhance light-matter interactions in compact photonic devices. In particular, their large quality factor in the strong-coupling…

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

We present simple lattice realizations of symmetry-protected topological (SPT) phases with $q$-form global symmetries where charged excitations have $q$ spatial dimensions. Specifically, we construct $d$ space-dimensional models supported…

Strongly Correlated Electrons · Physics 2016-04-20 Beni Yoshida

This study investigates the occurrence of acoustic topological edge states in a 2D phononic elastic waveguide due to a phenomenon that is the acoustic analogue of the quantum valley Hall effect. We show that a topological transition takes…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 Ting-Wei Liu , Fabio Semperlotti

Superconducting protected qubits aim to achieve sufficiently low error rates so as to allow realization of error-corrected, utility-scale quantum computers. A recent proposal encodes a protected qubit in the quasicharge degree of freedom of…

Quantum Physics · Physics 2026-01-09 Nicholas M. Christopher , Deniz E. Stiegemann , Abhijeet Alase , Thomas M. Stace

Symmetry-protected topological phases cannot be described by any local order parameter and are beyond the conventional symmetry-breaking paradigm for understanding quantum matter. They are characterized by topological boundary states robust…

Searching topological states in artificial systems has recently become a rapidly growing field of research. Meanwhile, significant experimental progresses on observing topological phenomena have been made in superconducting circuits.…

The search for new realization of topologically protected edge states is an active area of research. We show that a tilt boundary in gated multi-layer graphene supports topologically protected gapless kink states, associated with quantum…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 Abolhassan Vaezi , Yufeng Liang , Darryl H. Ngai , Li Yang , Eun-Ah Kim

Edge states of a topological insulator can be used to explore fundamental science emerging at the interface of low dimensionality and topology. Achieving a robust conductance quantization, however, has proven challenging for helical edge…

Mesoscale and Nanoscale Physics · Physics 2024-08-16 Ke Huang , Hailong Fu , Kenji Watanabe , Takashi Taniguchi , Jun Zhu

We discuss two one-dimensional model systems -- the first is a single channel quantum wire with Ising anisotropy, while the second is two coupled helical edge states. We show that the two models are governed by the same low energy effective…

Mesoscale and Nanoscale Physics · Physics 2019-02-19 Nikolaos Kainaris , Raul A. Santos , D. B. Gutman , Sam T. Carr

Topological magnon modes are expected to be useful for novel applications such as robust information propagation, since they are immune to backscattering and robust against disorder. Although there are several of theoretical proposals for…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Hong Huang , Toshikaze Kariyado , Xiao Hu

We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near-field of an atom-chip, which effectively mimics the effects…

We investigate topological phases induced by a driven electric field coupled to a dimer chain (a model for poly-acetylene) at high frequency regime. It is shown how the topological invariant of the system can be controlled by the field…

Mesoscale and Nanoscale Physics · Physics 2017-09-19 Fatemeh Askari Shahid , Hosein Cheraghchi
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