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Topological superconductivity in quasi-one-dimensional systems is a novel phase of matter with possible implications for quantum computation. Despite years of effort, a definitive signature of this phase in experiments is still debated. A…

Mesoscale and Nanoscale Physics · Physics 2021-07-12 Omri Lesser , Andrew Saydjari , Marie Wesson , Amir Yacoby , Yuval Oreg

Physical systems with non-trivial topological order find direct applications in metrology[1] and promise future applications in quantum computing[2,3]. The quantum Hall effect derives from transverse conductance, quantized to unprecedented…

Atomic Physics · Physics 2019-05-09 Dina Genkina , Lauren M. Aycock , Hsin-I Lu , Alina M. Pineiro , Mingwu Lu , I. B. Spielman

Ferromagnetism and superconductivity typically compete with each other since the internal magnetic field generated in a magnet suppresses the formation of spin-singlet Cooper pairs in conventional superconductors. Only a handful of…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Xiaomeng Liu , Zeyu Hao , Eslam Khalaf , Jong Yeon Lee , Kenji Watanabe , Takashi Taniguchi , Ashvin Vishwanath , Philip Kim

Chern insulators host topologically protected chiral edge currents with quantized conductance characterized by their Chern number. Switching the chirality of a Chern insulator, namely, the direction of the edge current, is highly…

For two-dimensional single-valley quadratic band crossing systems with weak repulsive electron-electron interactions, we show that upon introducing a chemical potential, particle-hole order is suppressed and superconductivity becomes the…

Superconductivity · Physics 2015-04-21 Kelly Ann Pawlak , James M. Murray , Oskar Vafek

The emergence of chiral superconductivity from strongly correlated Mott regimes in purely repulsive, genuinely two-dimensional fermionic systems poses a key challenge, particularly when topology and superconducting long-range order must be…

Strongly Correlated Electrons · Physics 2026-03-10 Sen Niu , D. N. Sheng , Yang Peng

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

Strongly Correlated Electrons · Physics 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

We propose a theoretical framework in which a one-dimensional (1D) tight-binding model incorporating unconventional magnetic order together with Rashba and Ising spin-orbit couplings are considered to realize two key phenomena in condensed…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Amartya Pal , Debashish Mondal , Tanay Nag , Arijit Saha

We investigate a mechanism to produce superconductivity by strong purely repulsive interactions for flat dispersion $\varepsilon \sim k^4$, without using pairing instability in Fermi-liquid. The resulting superconductors break both…

Strongly Correlated Electrons · Physics 2025-01-24 Minho Kim , Abigail Timmel , Long Ju , Xiao-Gang Wen

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

We study the effect of the electron wavefunction on Kohn-Luttinger superconductivity. The role of the wavefunction is encoded in a complex form factor describing the topology and geometry of the bands. We show that the electron wavefunction…

Superconductivity · Physics 2026-01-29 Ammar Jahin , Shi-Zeng Lin

Hexagonally patterned two-dimensional $p$-type semiconductor systems are quantum simulators of graphene with strong and highly tunable spin-orbit interactions. We show that application of purely in-plane magnetic fields, in combination with…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Tommy Li , Oleg P. Sushkov

It is shown that the electric supercurrent flows in a Z_2 topological insulator with U_em(1) X U_z(1) (electromagnetic and spin) gauge symmetries. When U_z(1) is broken, a dissipationless electric current is still possible to flow locally…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Jun Goryo , Nobuki Maeda , Ken-Ichiro Imura

Chiral superconductors are one of the predominant quantum electronic states of matter where topology, symmetry, and Fermiology intertwine. This is pushed to a new limit by further invoking the coupling between spin and charge degrees of…

Strongly Correlated Electrons · Physics 2024-10-10 Matthew Bunney , Jacob Beyer , Ronny Thomale , Carsten Honerkamp , Stephan Rachel

The quantum anomalous Hall (QAH) effect, first proposed in the Haldane model, is a paradigmatic example of the application of band topology in condensed matter physics. The recent experimental discoveries of high Chern number QAH effect in…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Zhaochen Liu , Jing Wang

Moir\'e flatbands with high Chern numbers (C>1) offer opportunities to study the fractional quantum anomalous Hall effects that go beyond the Landau level paradigm with C=1, which remain unexplored yet. Here, we target the novel topological…

We propose a Haldane-like model of dice lattice analogous to graphene and explore its topological properties within the tight-binding formalism. The topological phase boundary of the system is identical to that of Haldane model of graphene…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Bashab Dey , Priyadarshini Kapri , Ojasvi Pal , Tarun Kanti Ghosh

Recent experiments on rhombohedral pentalayer graphene flakes with a substrate induced moir\'e potential have identified both Chern insulators and fractional Quantum Hall states in the absence of an applied magnetic field. Surprisingly,…

Strongly Correlated Electrons · Physics 2024-11-15 Junkai Dong , Taige Wang , Tianle Wang , Tomohiro Soejima , Michael P. Zaletel , Ashvin Vishwanath , Daniel E. Parker

Chiral superconductivity is a time-reversal-symmetry-breaking superconducting phase that has attracted broad interest as a potential platform for topological quantum computation. A fundamental consequence of this symmetry breaking is…

Superconductivity · Physics 2026-02-12 Jihang Zhu , Chunli Huang

Twisted bilayers of nodal superconductors have been recently demonstrated to be a potential platform to realize two-dimensional topological superconductivity. Here we study the topological properties of twisted finite-thickness flakes of…

Superconductivity · Physics 2023-12-22 Kevin P. Lucht , J. H. Pixley , Pavel A. Volkov
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