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We study nonlinear optical responses in superconducting systems with inversion ($\mathcal{I}$) symmetry-breaking order parameters. We first show that any superconducting system with $\mathcal{I}$ and time-reversal ($\mathcal{T}$) symmetries…

Superconductivity · Physics 2019-12-11 Tianrui Xu , Takahiro Morimoto , Joel E. Moore

We propose a scenario for superconductivity at strong electron-electron attractive interaction, in the case when the increase of the interaction strength promotes the nucleation of the local Cooper pairs and forms a state with a spatially…

Superconductivity · Physics 2025-08-27 A. A. Zyuzin , A. Yu. Zyuzin

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

A many body system in the vicinity of a first-order phase transition may get trapped in a local minimum of the free energy landscape. These so-called false-vacuum states may survive for exceedingly long times if the barrier for their decay…

Superconductivity · Physics 2025-03-05 Gal Shavit , Stevan Nadj-Perge , Gil Refael

We find a new class of topological superconductors which possess an emergent time-reversal symmetry that is present only after projecting to an effective low-dimensional model. We show that a topological phase in symmetry class DIII can be…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Christopher Reeg , Constantin Schrade , Jelena Klinovaja , Daniel Loss

We solve the Bogoliubov-de Gennes equations self-consistently for d-wave superconductors with [110] surfaces. We find spontaneous breaking of time-reversal symmetry (TRS) caused by the spontaneous occurrence of a complex order parameter…

Superconductivity · Physics 2018-05-09 Yuki Nagai , Yukihiro Ota , K. Tanaka

A model for high-temperature superconductors incorporating antiferromagnetism, d-wave superconductivity, and no double lattice-site occupancy can give energy surfaces exquisitely balanced between antiferromagnetic and superconducting order…

Strongly Correlated Electrons · Physics 2008-11-03 Mike Guidry , Yang Sun , Cheng-Li Wu

The association of broken symmetries with phase transitions is ubiquitous in condensed matter physics: crystals break translational symmetry, magnets break rotational symmetry, and superconductors break gauge symmetry. However, despite the…

Superconductivity · Physics 2019-05-21 Nicholas R. Poniatowski

A band gap for electronic states in crystals governs various properties of solids, such as transport, optical and magnetic properties. Its estimation and control have been an important issue in solid state physics. The band gap can be…

Mesoscale and Nanoscale Physics · Physics 2017-05-16 Shuichi Murakami , Motoaki Hirayama , Ryo Okugawa , Takashi Miyake

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

Twisted bilayers of nodal superconductors were recently proposed as a promising platform to host superconducting phases that spontaneously break time-reversal symmetry. Here we extend this analysis to twisted multilayers, focusing on two…

Superconductivity · Physics 2022-07-28 Tarun Tummuru , Étienne Lantagne-Hurtubise , Marcel Franz

At a (110) surface of a $d_{x^2-y-2}$-wave superconductor, superconducting order is strongly suppressed. In such a situation, ordered states that are forbidden in the bulk may arise. This problem is studied for high-$T_C$ cuprate…

Superconductivity · Physics 2015-06-18 Kazuhiro Kuboki

Paramagnetic effects are shown to result in the appearance of a triplet component of order parameter in a vortex phase of a d-wave superconductor in the absence of impurities. This component, which breaks both parity and time-reversal…

Superconductivity · Physics 2009-11-11 A. G. Lebed

A simple interlayer pair tunneling is solved exactly. We find that in the normal state spin-1/2 particle and hole excitations are gapped. But the state is an unusual metal, characterized by novel fermionic spin zero and charge +2e and -2e…

Condensed Matter · Physics 2007-05-23 Sanjoy K. Sarker , Philip W. Anderson

We show that the gapless boundary signatures - namely, chiral/helical hinge modes or localized zero modes - of three-dimensional higher-order topological insulators and superconductors with inversion symmetry can be gapped without symmetry…

Strongly Correlated Electrons · Physics 2022-09-27 Ming-Hao Li , Titus Neupert , S. A. Parameswaran , Apoorv Tiwari

We study superconducting pairing in the doped Kitaev-Heisenberg model by taking into account the recently proposed symmetric off-diagonal exchange $\Gamma$. By performing a mean-field analysis, we classify all possible superconducting…

Superconductivity · Physics 2018-01-17 Johann Schmidt , Daniel D. Scherer , Annica M. Black-Schaffer

Spontaneous generation of time-reversal symmetry breaking in unconventional superconductors is currently a topic of considerable interest. While chiral superconducting order is often assumed to be the source of such signatures, they can…

Superconductivity · Physics 2024-01-11 Clara N. Breiø , Andreas Kreisel , Mercè Roig , P. J. Hirschfeld , Brian M. Andersen

Due to the interplay of multi-component order parameters (e.g., a twisted bilayer superconductor with inter-layer Josephson coupling or a frustrated ($n\ge 3$)-band superconductor), a superconductor can possess a $U(1)\times \mathbb{Z}_2$…

Statistical Mechanics · Physics 2024-02-29 Andrew C. Yuan

We use strong-coupling Eliashberg theory to study the competition of separate superconducting orders at low temperatures. Specifically, we study magnon-mediated superconductivity in a trilayer heterostructure with a thin normal metal…

Superconductivity · Physics 2024-05-20 Chi Sun , Kristian Mæland , Even Thingstad , Asle Sudbø

Superconductivity is realized by opening a gap in the superconducting state. The gap symmetry is crucial in understanding the underlying superconductivity mechanism. The magnitude and the phase are essential in fully characterizing the…

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