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Topological phases have greatly improved our understanding of modern conception of phases of matter that go beyond the paradigm of symmetry breaking and are not described by local order parameters. Instead, characterization of topological…

Quantum Physics · Physics 2022-08-12 Zhihuang Luo , Wenzhao Zhang , Xinfang Nie , Dawei Lu

Indium arsenide (InAs) nanowires (NWs) are a promising platform to fabricate quantum electronic devices, among others they have strong spin-orbit interaction (SOI). The controlled tuning of the SOI is desired in spin based quantum devices.…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Zoltán Scherübl , Gergő Fülöp , Morten Hannibal Madsen , Jesper Nygård , Szabolcs Csonka

We propose a scheme for measuring topological properties in a two-photon-driven Kerr-nonlinear resonator (KNR) subjected to a single-photon modulation. The topological properties are revealed through the observation of the Berry curvature…

Quantum Physics · Physics 2024-07-16 Bi-Yao Wang , Hao-Long Zhang , Shou-Bang Yang , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

Optical control of topology, particularly in the presence of electron correlations, is a fascinating topic with broad scientific and technological impact. Twisted MoTe$_2$ bilayer (tMoTe$_2$) is a newly discovered zero-field fractional…

We consider electronic transport through semiconducting nanowires (W) with spin-orbit interaction (SOI), in a hybrid N-W-N setup where the wire is contacted by normal-metal leads (N). We investigate the conductance behavior of the system as…

Mesoscale and Nanoscale Physics · Physics 2014-12-16 Diego Rainis , Daniel Loss

Topological invariants in the band structure, such as Chern numbers, are crucial for the classification of topological matters and dictate the occurrence of exotic properties, yet their direct spectroscopic determination has been largely…

Magnetism typically arises from the joint effect of Fermi statistics and repulsive Coulomb interactions, which favors ground states with non-zero electron spin. As a result, controlling spin magnetism with electric fields---a longstanding…

Topological quantum phase transitions in superconductivity are discussed on two dimensional lattices. The main focus is on the Chern number for superconducting states. Each superconductivity is characterized by the Chern number, and the…

Superconductivity · Physics 2009-11-07 Yasuhiro Hatsugai , Shinsei Ryu

The topological nature of Chern-Simons term describing the interaction of a charge with magnetic monopole is manifested in two ways: it changes the plane dynamical geometry of a free particle for the cone dynamical geometry without…

High Energy Physics - Theory · Physics 2009-10-31 Mikhail S. Plyushchay

Topological phases with broken time-reversal symmetry and Chern number |C|>=2 are of fundamental interest, but it remains unclear how to engineer the desired topological Hamiltonian within the paradigm of spin-orbit-coupled particles…

Quantum Gases · Physics 2021-06-09 Abhijeet Alase , David L. Feder

At partial filling of a flat band, strong electronic interactions may favor gapped states harboring emergent topology with quantized Hall conductivity. Emergent topological states have been found in partially filled Landau levels and…

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-10-10 Rui-An Chang , Ching-Ray Chang

The Chern number has been widely used to describe the topological properties of periodic structures in the momentum space. Here, we introduce a real-space spin Chern number for the optical near fields of finite-sized structures. This new…

Optics · Physics 2024-05-03 Tong Fu , Ruo-Yang Zhang , Shiqi Jia , C. T. Chan , Shubo Wang

Spin-orbit interaction (SOI) that is gate-tunable over a broad range is essential to exploiting novel spin phenomena. Achieving this regime has remained elusive because of the weakness of the underlying relativistic coupling and lack of its…

Mesoscale and Nanoscale Physics · Physics 2018-02-16 Jun Yong Khoo , Alberto F. Morpurgo , Leonid Levitov

A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre

Topological order can be found in a wide range of physical systems, from crystalline solids, photonic meta-materials and even atmospheric waves to optomechanic, acoustic and atomic systems. Topological systems are a robust foundation for…

Quantum Gases · Physics 2023-07-04 A. Valdés-Curiel , D. Trypogeorgos , Q. -Y. Liang , R. P. Anderson , I. B. Spielman

Manipulating the topological properties of insulators, encoded in invariants such as the Chern number and its generalizations, is now a major issue for realizing novel charge/spin responses in electron systems. We propose that a simple…

Materials Science · Physics 2010-06-30 Jun-ichi Inoue , Akihiro Tanaka

The interplay between band topology and magnetism can give rise to exotic states of matter. For example, magnetically doped topological insulators can realize a Chern insulator that exhibits quantized Hall resistance at zero magnetic field.…

In twisted MoTe$_{2}$, latest transport measurement has reported observation of quantum anomalous Hall effect at hole filling $\nu=-1$, which undergoes a topological phase transition to a trivial ferromagnet as layer hybridization gets…

Strongly Correlated Electrons · Physics 2024-01-15 Feng-Ren Fan , Cong Xiao , Wang Yao

We study an one-dimensional transverse field Ising model with additional periodically modulated real and complex fields. It is shown that both models can be mapped on a pseudo spin system in the k space in the aid of an extended Bogoliubov…

Quantum Physics · Physics 2016-11-17 C. Li , G. Zhang , Z. Song