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We investigate the bulk orbital angular momentum in a two-dimensional time-reversal broken topological superconductor with the Rashba spin-orbit interaction, the Zeeman interaction, and the $s$-wave pairing potential. Prior to the…

Superconductivity · Physics 2015-07-08 Atsuo Shitade , Yuki Nagai

Recent findings indicate that orbital angular momentum (OAM) has the capability to induce the intrinsic orbital Hall effect (OHE), which is characterized by orbital Chern number in the orbital Hall insulator. Unlike the spin-polarized…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Shilei Ji , Chuye Quan , Ruijia Yao , Jianping Yang , Xing'ao Li

We study the orbital angular momentum (OAM) $L_z$ in two dimensional chiral $(p_x+ip_y)^{\nu}$-wave superfluids (SF) of $N$ fermions on a disc at zero temperature, in terms of spectral asymmetry and spectral flow. It is shown that $L_z=\nu…

Superconductivity · Physics 2015-05-20 Yasuhiro Tada , Wenxing Nie , Masaki Oshikawa

A third monolayer of tin atoms on the semiconductor substrate Si(111) has been shown to become superconducting upon six to ten percent hole doping. Experiments have reported promising results hinting at a superconducting chiral $d$-wave…

Superconductivity · Physics 2025-12-17 Matthew Bunney , Lucca Marchetti , Domenico Di Sante , Carsten Honerkamp , Stephan Rachel

We establish the Berry-phase formulas for the angular momentum (AM) and the Hall viscosity (HV) to investigate chiral superconductors (SCs) in two and three dimensions. The AM is defined by the temporal integral of the anti-symmetric…

Superconductivity · Physics 2014-10-16 Atsuo Shitade , Taro Kimura

The topological properties in topological superconductors are usually characterized by the bulk Chern numbers, edge-state spectra, and Majorana zero modes. Whether they are equivalent or inequivalent is not well understood. Here, we…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Xiao-Ping Liu , Yuan Zhou , Yi-Fei Wang , Chang-De Gong

The mechanism of the unconventional topological superconductivity (TSC) remains a long-standing issue. We investigate the quantum phase diagram of the extended $t$-$J$-$J_{\chi}$ model including spin chiral interactions on triangular…

Strongly Correlated Electrons · Physics 2022-07-18 Yixuan Huang , D. N. Sheng

The Chern index characterizes the topological phases of nonreciprocal photonic systems. Unlike in electronic systems, the photonic Chern number has no clear physical meaning, except that it determines the net number of unidirectional edge…

Optics · Physics 2019-03-06 Mário G. Silveirinha

The topological superconducting state is a highly sought-after quantum state hosting topological order and Majorana excitations. In this work, we explore the mechanism to realize the topological superconductivity (TSC) in the doped Mott…

Strongly Correlated Electrons · Physics 2023-04-03 Yixuan Huang , Shou-Shu Gong , D. N. Sheng

We propose a realization of a two-dimensional higher-order topological insulator with ultracold atoms loaded into orbital angular momentum (OAM) states of an optical lattice. The symmetries of the OAM states induce relative phases in the…

Quantum Gases · Physics 2019-11-11 G. Pelegrí , A. M. Marques , V. Ahufinger , J. Mompart , R. G. Dias

Modeling the spin-triplet superconductor Sr2RuO4 through a three-orbital tight-binding model we investigate topological properties and edge states assuming chiral p-wave pairing. In concordance with experiments the three Fermi surfaces…

Superconductivity · Physics 2013-10-16 Yoshiki Imai , Katsunori Wakabayashi , Manfred Sigrist

We study a special class of topological phase transitions in two dimensions described by the inversion of bands with relative angular momentum higher than 1. A band inversion of this kind, which is protected by rotation symmetry, separates…

Mesoscale and Nanoscale Physics · Physics 2019-01-02 Jörn W. F. Venderbos , Yichen Hu , C. L. Kane

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

The study of topological property of band insulators is an interesting branch of condensed matter physics. Two types of topologically nontrivial insulators have been extensively studied. The first type is characterized by a nonzero TKNN…

Materials Science · Physics 2011-11-15 Yi-Dong Wu

Chern insulators are band insulators which exhibit a gap in the bulk and gapless excitations in the edge. Detection of Chern insulators is a serious challenge in cold atoms since the Hall transport measurements are technically unrealistic…

Mesoscale and Nanoscale Physics · Physics 2013-09-30 Xiong-Jun Liu , K. T. Law , T. K. Ng , Patrick A. Lee

The coupling between the spin and momentum degrees of freedom due to spin-orbit interactions (SOI) suggests that the strength of the latter can be modified by controlling the motion of the charge carriers. In this paper, we investigate how…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Zhuo Bin Siu , Seng Ghee Tan , Mansoor B. A. Jalil

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

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

Mesoscale and Nanoscale Physics · Physics 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

We study the orbital angular momentum (OAM) $L_z$ of two-dimensional chiral $(p_x+ip_y)^{\nu}$-wave superfluids (SFs) in the presence of an axisymmetric multiply quantized vortex (MQV) with vorticity $k$ on a disk at zero temperature, in…

Superconductivity · Physics 2025-06-11 Yan He , Wenxing Nie

We consider the coexistence of superconductivity(SC) and spin-density wave(SDW). The SC is presumed to be of $d_{x^2-y^2}+id_{xy} (d_1 + i d_2) $ type whereas the SDW order parameter is of $BCS$/$d_{x y} $ symmetry. The Hamiltonian having…

Superconductivity · Physics 2015-06-18 Amit Gupta , Debanand Sa
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