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We propose a general principle for realizing second-order topological corner states in the modified Kane-Mele model with magnetization. It is demonstrated that the sign of the edge Dirac mass depends on the magnetization of the edge…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Cheng-Ming Miao , Lizhou Liu , Yu-Hao Wan , Qing-Feng Sun , Ying-Tao Zhang

Quantum spin Hall edge transport in two-dimensional transition-metal dichalcogenides depends on whether their one-dimensional edge channels are preserved under realistic substrates and device boundaries. Here we implement spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Wei Li , Pier Philipsen , Thomas Brumme , Thomas Heine

We study a double quantum dot system coherently coupled to an electromagnetic resonator. A current through the dot system can create a population inversion in the dot levels and, within a narrow resonance window, a lasing state in the…

Mesoscale and Nanoscale Physics · Physics 2011-07-29 Pei-Qing Jin , Michael Marthaler , Jared H. Cole , Alexander Shnirman , Gerd Schön

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 consider a two-orbital impurity system with intra and inter-level Coulomb repulsion that is coupled to a single conduction channel. This situation can generically occur in multilevel quantum dots or in systems of coupled quantum dots.…

Strongly Correlated Electrons · Physics 2017-07-05 Arturo Wong , Anh T. Ngo , Sergio E. Ulloa

We study the energy spectrum and energy levels of the extended Kane-Mele model with magnetic atoms on their zigzag edges. It is demonstrated that the edges of ferromagnetism or antiferromagnetism are enough to break the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

The Hofstadter model is a simple yet powerful Hamiltonian to study quantum Hall physics in a lattice system, manifesting its essential topological states. Lattice dimerization in the Hofstadter model opens an energy gap at half filling.…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Alexander Lau , Carmine Ortix , Jeroen van den Brink

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu

The Zeeman effect, which is usually considered to be detrimental to superconductivity, can surprisingly protect the superconducting states created by gating a layered transition metal dichalcogenide. This effective Zeeman field, which is…

Superconductivity · Physics 2015-12-16 J. M. Lu , O. Zeliuk , I. Leermakers , Noah F. Q. Yuan , U. Zeitler , K. T. Law , J. T. Ye

We study transport properties of the helical edge states of two-dimensional integer and fractional topological insulators via double constrictions. Such constrictions couple the upper and lower edges of the sample, and can be made and tuned…

Strongly Correlated Electrons · Physics 2013-09-25 Chia-Wei Huang , Sam T. Carr , Dmitri Gutman , Efrat Shimshoni , Alexander D. Mirlin

We investigate electronic transport through II-VI semiconductor resonant tunneling structures containing diluted magnetic impurities. Due to the exchange interaction between the conduction electrons and the impurities, there arises a giant…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 David Sanchez , Charles Gould , Georg Schmidt , Laurens W. Molenkamp

A two-dimensional spin-directed $\mathbb{Z}^{\,}_{2}$ network model is constructed that describes the combined effects of dimerization and disorder for the surface states of a weak three-dimensional $\mathbb{Z}^{\,}_{2}$ topological…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Hideaki Obuse , Shinsei Ryu , Akira Furusaki , Christopher Mudry

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

In the presence of crystalline symmetries, second-order topological insulators can be featured by the polarization which is believed identical to the Wannier center. In this Letter, we show that second-order topological insulators are…

Optics · Physics 2022-08-22 Zhenzhen Liu , Guochao Wei , Jun-Jun Xiao

In the two-dimensional case the transition between ordinary and topological insulator states can be described by a massive Dirac model with the mass term changing its sign at the transition point. We theoretically investigate how such a…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 G. Tkachov , E. M. Hankiewicz

We show that the pair-density-wave (PDW) superconducting state emergent in extended Heisenberg-Hubbard models in two-leg ladders is topological in the presence of an Ising spin symmetry and supports a Majorana zero mode (MZM) at an open…

Strongly Correlated Electrons · Physics 2014-12-22 Gil Young Cho , Rodrigo Soto-Garrido , Eduardo Fradkin

The topological classification of fermion systems in mixed states is a long standing quest. For Gaussian states, reminiscent of non-interacting unitary fermions, some progress has been made. While the topological quantization of certain…

Strongly Correlated Electrons · Physics 2022-01-05 Lukas Wawer , Michael Fleischhauer

We present a theory on the quantum phase diagram of AB-stacked MoTe$_2$/WSe$_2$ using a self-consistent Hartree-Fock calculation performed in the plane-wave basis, motivated by the observation of topological states in this system. At…

Strongly Correlated Electrons · Physics 2022-08-10 Haining Pan , Ming Xie , Fengcheng Wu , Sankar Das Sarma

We investigate higher-order topological states in honeycomb lattice with Y-Kekul\'e distortions that preserve $C_{6v}$ crystalline symmetry. The gapped states in expanded and shrunken distortions are adiabatically connected to isolated…

Mesoscale and Nanoscale Physics · Physics 2024-02-27 Yong-Cheng Jiang , Toshikaze Kariyado , Xiao Hu

The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magnetic field have attracted immense experimental and…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Rajesh K. Malla , Avadh Saxena , Wilton J. M. Kort-Kamp