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The quantum Hall effect is generally understood for free electron gases, in which topologically protected edge states between Landau levels (LLs) form conducting channels at the edge of the sample. In periodic crystals, the LLs are…

Strongly Correlated Electrons · Physics 2020-03-26 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

The chiral $p$-wave superconductor/superfluid in two dimensions (2D) is the simplest and most robust system for topological quantum computation . Candidates for such topological superconductors/superfluids in nature are very rare. A widely…

Superconductivity · Physics 2020-03-27 Xi Luo , Yu-Ge Chen , Ziqiang Wang , Yue Yu

We study the vortex lattice in a two-dimensional s-wave topological superconductor with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations self-consistently for the superconducting order parameter. We…

Superconductivity · Physics 2016-08-24 Evan D. B. Smith , K. Tanaka , Yuki Nagai

Two-leg bosonic ladders with flux harbor a remarkable vortex-hole duality between the weak-coupling vortex lattice superfluids and strong-coupling charge-density-wave crystals. The strong-coupling crystalline states, which are realized in…

Quantum Gases · Physics 2017-08-23 S. Greschner , T. Vekua

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

Vortex lattice states occurring in noncentrosymmetric superconductors with the spin-orbit coupling of Rashba type under a magnetic field parallel to the symmetry plane are examined by assuming the $s$-wave pairing case and in an approach…

Superconductivity · Physics 2015-10-14 Yuichiro Dan , Ryusuke Ikeda

We study effects of a chiral helimagnet (CHM) on vortex states in a superconductor, solving the Ginzburg-Landau equations in a chiral helimagnet/superconductor bilayer system. We found that vortices form a periodically modulated triangular…

Superconductivity · Physics 2017-02-01 Saoto Fukui , Masaru Kato , Yoshihiko Togawa

Interfacing the quantum anomalous Hall insulator with a conventional superconductor is known to be a promising manner for realizing a topological superconductor, which has been continuously pursued for years. Such a proximity route depends…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Yu Huang , Yu Fu , Peng Zhang , Kang L. Wang , Qing Lin He

HgTe-based quantum wells (QWs) recently attracted a lot of attention for the realization of a two-dimensional topological insulator with protected helical edge states. Another class of topological systems are topological superconductors…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Luzie Weithofer , Patrik Recher

Two-dimensional electron systems with spin-orbit coupling in the proximity of a superconductor and a magnetic insulator have recently been considered as promising candidates to realize topological superconducting phases. Here we discuss…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Teemu Ojanen , Takuya Kitagawa

Realizations of some topological phases in two-dimensional systems rely on the challenge of jointly incorporating spin-orbit and magnetic exchange interactions. Here, we predict the formation and control of a fully valley-polarized quantum…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Marc Vila , Jose H. Garcia , Stephan Roche

The introduction of superconductivity to the Dirac surface states of a topological insulator leads to a topological superconductor, which may support topological quantum computing through Majorana zero modes. The development of a scalable…

Quantized Hall conductance is a generic feature of two dimensional electronic systems with broken time reversal symmetry. In the quantum anomalous Hall state recently discovered in magnetic topological insulators, time reversal symmetry is…

Motivated by the superconductivity of $M_x$Bi$_2$Se$_3$, we study topological excitations in a nematic superconductor using Ginzburg-Landau theory. An isolated excitation at low field is shown to be either a distorted phase vortex or a…

Superconductivity · Physics 2020-11-11 Pye Ton How , Sung-Kit Yip

We recently proposed quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions [Phys. Rev. Lett. 125, 030504 (2020)]. Conceptually, the scheme is based on the idea that aphysical monolayer optical…

Quantum spin Hall insulators with a pair of helical edge states and proximity-induced superconductivity have been shown to support second-order topological superconductors with Majorana corner modes. As the Majorana corner modes are…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Zhiwei Yin , Haoshu Li , Zhongbo Yan , Shaolong Wan

Monoatomic chains with magnetic order in proximity of a s-wave superconductor can host Majorana edge modes. In this paper, we extend this idea to more complex spin-block chains such as the BaFe$_{2}$S$_{3}$ magnetic material that has a…

Superconductivity · Physics 2026-02-10 Shivam Yadav , Pascal Simon , Andrzej Ptok

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 consider the effect of spin-orbit coupling on a two-dimensional Kondo Lattice model, in which conduction electrons are antiferromagnetically coupled to a Yao-Lee spin liquid. When a Rashba spin-orbit interaction and a nearest-neighbor…

Strongly Correlated Electrons · Physics 2025-01-07 Zekun Zhuang , Piers Coleman