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According to Wen's theory, a universal behavior of the fractional quantum Hall edge is expected at sufficiently low energies, where the dispersion of the elementary edge excitation is linear. A microscopic calculation shows that the actual…

Strongly Correlated Electrons · Physics 2010-09-07 Shivakumar Jolad , Diptiman Sen , Jainendra K. Jain

The time evolution of topological systems is an active area of interest due to their expected applications in fault-tolerant quantum computing. Here, we analyze the dynamics of a noninteracting spinless fermion chain in its topological…

Strongly Correlated Electrons · Physics 2024-10-21 Thomas L. M. Lane , Miklós Horváth , Kristian Patrick

In recent years, the interplay between non-Hermiticity and band topology is expected to uncover numerous novel physical phenomena. However, the majority of research has focused on periodic crystalline structures, with comparatively fewer…

Mesoscale and Nanoscale Physics · Physics 2024-12-24 Xiaolu Zhu , Tan Peng , Fang Lyu , Wei Cao , Yue Hou , Rui Xiong , Ziyu Wang

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

For decades, the topological phenomena in quantum systems have always been catching our attention. Recently, there are many interests on the systems where topologically protected edge states exist, even in the presence of non-Hermiticity.…

Quantum Gases · Physics 2020-09-15 Shujie Cheng , Gao Xianlong

We study a plasmonic metasurface that supports pseudospin dependent edge states confined at a subwavelength scale, considering full electrodynamic interactions including retardation and radiative effects. The spatial symmetry of the lattice…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Matthew Proctor , Richard V. Craster , Stefan A. Maier , Vincenzo Giannini , Paloma A. Huidobro

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

Recently, topological quantum states of non-Hermitian systems, exhibiting rich new exotic states, have attracted great attention in condensed-matter physics. As for the demonstration, most of non-Hermitian topological phenomena previously…

Mesoscale and Nanoscale Physics · Physics 2019-02-15 Huaiqiang Wang , Jiawei Ruan , Haijun Zhang

We study fourfold rotation invariant gapped topological systems with time-reversal symmetry in two and three dimensions ($d=2,3$). We show that in both cases nontrivial topology is manifested by the presence of the $(d-2)$-dimensional edge…

Mesoscale and Nanoscale Physics · Physics 2017-12-19 Zhida Song , Zhong Fang , Chen Fang

We demonstrate, both theoretically and experimentally, the concept of non-linear second-order topological insulators, a class of bulk insulators with quantized Wannier centers and a bulk polarization directly controlled by the level of…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Farzad Zangeneh-Nejad , Romain Fleury

For the fractional quantum Hall states on a finite disc, we study the thermoelectric transport properties under the influence of an edge and its reconstruction. In a recent study on a torus [Phys. Rev. B 101, 241101 (2020)], Sheng and Fu…

Strongly Correlated Electrons · Physics 2021-06-30 Zi-Yi Fang , Dan Ye , Yu-Yu Zhang , Zi-Xiang Hu

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

Properties of eigenstates of one-particle Quantum Hall Hamiltonians localized near the boundary of a two-dimensional electron gas - so-called edge states - are studied. For finite samples it is shown that edge states with energy in an…

Mathematical Physics · Physics 2015-06-26 J. Froehlich , G. M. Graf , J. Walcher

Heat transport has large potentialities to unveil new physics in mesoscopic systems. A striking illustration is the integer quantum Hall regime, where the robustness of Hall currents limits information accessible from charge transport.…

Mesoscale and Nanoscale Physics · Physics 2011-01-04 C. Altimiras , H. le Sueur , U. Gennser , A. Cavanna , D. Mailly , F. Pierre

In one dimensional chains of trapped Rydberg excitons in cuprous oxide semiconductor the topological spin phase has been recently predicted [Phys. Rev. Lett. 123, 126801 (2019); arXiv:1903.11951]. This phase is characterized by the diluted…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 A. N. Poddubny , M. M. Glazov

We investigate the energy band structure and energy levels of graphene with staggered intrinsic spin-orbit coupling and in-plane Zeeman fields. Our study demonstrates that staggered intrinsic spin-orbit coupling induces bulk band crossover…

Mesoscale and Nanoscale Physics · Physics 2025-09-08 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

Symmetry breaking in quantum materials is of great importance and can lead to nonreciprocal charge transport. Topological insulators provide a unique platform to study nonreciprocal charge transport due to their surface states, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-28 Chunfeng Li , Rui Wang , Shuai Zhang , Yuyuan Qin , Zhe Ying , Boyuan Wei , Zheng Dai , Fengyi Guo , Wei Chen , Rong Zhang , Baigeng Wang , Xuefeng Wang , Fengqi Song

Recently, effects of nonlinearity on topologically nontrivial systems have attracted attention and the stability of topologically protected edge states has been studied for a quantum walk with nonlinear effects, which is akin to…

Quantum Physics · Physics 2020-05-29 Ken Mochizuki , Norio Kawakami , Hideaki Obuse

The topological singularity of the Bloch states close to the Fermi level significantly enhances nonlinear electric responses in topological semimetals. Here, we systematically characterize this enhancement for a large class of topological…

Mesoscale and Nanoscale Physics · Physics 2023-05-22 Junyeong Ahn

We develop a continuum theory to model low energy excitations of a generic four-band time reversal invariant electronic system with boundaries. We propose a variational energy functional for the wavefunctions which allows us derive natural…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Amal Medhi , Vijay B. Shenoy
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