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Superconductors with nontrivial band structure topology represent a class of materials with unconventional and potentially useful properties. Recent years have seen much success in creating artificial hybrid structures exhibiting main…

Excitons drive the optoelectronic properties of organic semiconductors which underpin devices including solar cells and light-emitting diodes. Here we show that excitons can exhibit topologically non-trivial states protected by inversion…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Wojciech J. Jankowski , Joshua J. P. Thompson , Bartomeu Monserrat , Robert-Jan Slager

The nonlinear optical response of an excitonic insulator coupled to lattice degrees of freedom is shown to depend in strong and characteristic ways on whether the insulating behavior originates primarily from electron-electron or…

Strongly Correlated Electrons · Physics 2021-01-04 Denis Golez , Zhiyuan Sun , Yuta Murakami , Antoine Georges , Andrew J. Millis

Unconventional superconductivity arising from electron-electron interaction can manifest exotic symmetry and topological properties. We investigate the superconducting pairing symmetry problem based on the 3D cubic $O_h$ symmetry with both…

Superconductivity · Physics 2025-06-19 Zhiming Pan , Chen Lu , Fan Yang , Congjun Wu

Two-dimensional systems with $C_{2}\mathcal{T}$ ($P\mathcal{T}$) symmetry exhibit the Euler class topology $E\in\mathbb{Z}$ in each two-band subspace realizing a fragile topology beyond the symmetry indicators. By systematically studying…

Mesoscale and Nanoscale Physics · Physics 2022-06-09 Yifei Guan , Adrien Bouhon , Oleg V. Yazyev

We theoretically study first and second-order optical responses in a transition metal dichalcogenide monolayer with distinct trivial, nodal, and time-reversal invariant topological superconducting (TRITOPS) phases. We show that the…

Superconductivity · Physics 2024-05-14 Arpit Raj , Abigail Postlewaite , Swati Chaudhary , Gregory A. Fiete

Non-Euclidean geometry, discovered by negating Euclid's parallel postulate, has been of considerable interest in mathematics and related fields for the description of geographical coordinates, Internet infrastructures, and the general…

Optics · Physics 2020-08-05 Sunkyu Yu , Xianji Piao , Namkyoo Park

The existence of an excitation gap in the bulk spectrum is one of the most prominent fingerprints of topological phases of matter. In this paper, we propose a family of two dimensional Hamiltonians that yield an unusual class $D$…

Superconductivity · Physics 2015-07-30 Yuval Baum , Thore Posske , Ion Cosma Fulga , Björn Trauzettel , Ady Stern

We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding…

Strongly Correlated Electrons · Physics 2011-06-07 Michael Freedman , Chetan Nayak , Kirill Shtengel , Kevin Walker , Zhenghan Wang

It is shown that the concept of topological phase transitions can be used to design nonlinear photonic structures exhibiting power thresholds and discontinuities in their transmittance. This provides a novel route to devising nonlinear…

Optics · Physics 2017-09-15 Xin Zhou , You Wang , Daniel Leykam , Y. D. Chong

Motivated by recent experiments in KTaO$_3$/EuO interface, we propose an intrinsic mechanism where superconducting stripes emerge naturally without involving disorder, charge inhomogeneity, or competing orders. Our theory is based on a…

Superconductivity · Physics 2025-08-21 Qiong Qin , Yi-feng Yang

We theoretically investigate the current-enabled linear optical conductivity of collective modes in superconductors with unconventional pairing symmetries. After deriving general formulas for the optical conductivity of a superconductor…

Superconductivity · Physics 2025-10-09 Gerrit Niederhoff , Ryusei Kataoka , Kazuaki Takasan , Naoto Tsuji

Topological band theory establishes a standardized framework for classifying different types of topological matters. Recent investigations have shown that hyperbolic lattices in non-Euclidean space can also be characterized by hyperbolic…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Weixuan Zhang , Fengxiao Di , Xingen Zheng , Houjun Sun , Xiangdong Zhang

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

We consider a non-Hermitian superconducting system by coupling a conventional superconductor to a ferromagnet lead and demonstrate the emergence of exceptional points when an external Zeeman field is applied. We discover that, depending on…

Superconductivity · Physics 2023-03-28 Jorge Cayao , Annica M. Black-Schaffer

Non-Hermitian systems exhibit diverse graph patterns of energy spectra under open boundary conditions. Here we present an algebraic framework to comprehensively characterize the spectral geometry and graph topology of non-Bloch bands. Using…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 Yuncheng Xiong , Haiping Hu

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

The spin-orbital polarization of superconducting excitations in momentum space is shown to provide distinctive marks of unconventional pairing in the presence of inversion symmetry breaking.Taking the prototypical example of an electronic…

Superconductivity · Physics 2019-10-02 Yuri Fukaya , Shun Tamura , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

In systems with a real Bloch Hamiltonian band nodes can be characterised by a non-Abelian frame-rotation charge. The ability of these band nodes to annihilate pairwise is path dependent, since by braiding nodes in adjacent gaps the sign of…

Quantum Gases · Physics 2024-09-02 Oliver Breach , Robert-Jan Slager , F. Nur Ünal

Using a discrete-lattice approach, we calculate the conductance spectra between a normal metal and an s-wave Larkin-Ovchinnikov (LO) superconductor, with the junction interface oriented {\em along} the direction of the order-parameter (OP)…

Superconductivity · Physics 2012-01-25 Qinghong Cui , C. -R. Hu , J. Y. T. Wei , Kun Yang