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Non-Hermitian topological systems simultaneously posses two antagonistic features: ultra sensitivity due to exceptional points and robustness of topological zero energy modes, and it is unclear which one prevails under different…

Optics · Physics 2022-03-08 I. Komis , D. Kaltsas , S. Xia , H. Buljan , Z. Chen , K. G. Makris

We study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these particle-hole symmetric systems the topological phases are characterized by an even-numbered winding number $\nu$. At a…

Mesoscale and Nanoscale Physics · Physics 2009-05-15 Andreas P. Schnyder , Shinsei Ryu , Andreas W. W. Ludwig

We investigate the robustness of topological superconductors under the perturbing influence of a finite charge current. To this aim, we introduce a modified Kitaev Hamiltonian parametrically dependent on the quasiparticle momentum induced…

Superconductivity · Physics 2023-02-22 Alfonso Maiellaro , Francesco Romeo , Fabrizio Illuminati , Roberta Citro

We consider symmetry-protected topological (SPT) phases in 2D protected by linear subsystem symmetries, i.e. those that act along rigid lines. There is a distinction between a "strong" subsystem SPT phase, and a "weak" one, which is…

Strongly Correlated Electrons · Physics 2018-12-19 Trithep Devakul , Dominic J. Williamson , Yizhi You

The Leibler weak segregation theory in molten diblock copolymers is generalized with due regard for the 2nd shell harmonics contributions defined in the paper and the phase diagrams are built for the linear and miktoarm ternary ABC triblock…

Soft Condensed Matter · Physics 2009-11-11 Igor Ya. Erukhimovich

Band theory provides the foundation for understanding electronic structure in crystalline materials, but its reliance on exact translational symmetry limits its applicability to systems with defects, disorder, incommensurate modulations, or…

Materials Science · Physics 2026-05-08 Christopher A. Bairnsfather , Ralph M. Kaufmann , Terry A. Loring , Alexander Cerjan

We examine supersymmetric theories with approximately conformal sectors. Without an IR cutoff the theory has a continuum of modes, which are often referred to as "unparticles." Making use of the AdS/CFT correspondence we find that in the…

High Energy Physics - Phenomenology · Physics 2009-12-31 Haiying Cai , Hsin-Chia Cheng , Anibal D. Medina , John Terning

In this paper, we introduce a variation of the notion of topological phase reflecting metric structure of the position space. This framework contains not only periodic and non-periodic systems with symmetries in Kitaev's periodic table but…

Mathematical Physics · Physics 2016-07-20 Yosuke Kubota

We present mathematical details of the construction of a topological invariant for periodically driven two-dimensional lattice systems with time-reversal symmetry and quasienergy gaps, which was proposed recently by some of us. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 David Carpentier , Pierre Delplace , Michel Fruchart , Krzysztof Gawędzki , Clément Tauber

We demonstrate a topological classification of vortices in three dimensional time-reversal invariant topological superconductors based on superconducting Dirac semimetals with an s-wave superconducting order parameter by means of a pair of…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 Pedro L. S. Lopes , Jeffrey C. Y. Teo , Shinsei Ryu

The standard approach to characterizing topological matter, computing topological invariants, fails when the symmetry protecting the topological phase is preserved only on average in a disordered system. Because topological invariants rely…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 R. Johanna Zijderveld , Adam Yanis Chaou , Isidora Araya Day , Anton R. Akhmerov

It is desirable to realize topological phases in artificial structures by engineering electronic band structures. In this paper, we investigate $(PbTe)_m(SnTe)_{2n-m}$ superlattices along [001] direction and find a robust weak topological…

Materials Science · Physics 2014-02-25 Gang Yang , Junwei Liu , Liang Fu , Wenhui Duan , Chaoxing Liu

Despite more than two decades of intensive investigations, the true nature of high temperature (high-$T_c$) superconductivity observed in the cuprates remains elusive to the researchers. In particular, in the so-called `underdoped' region,…

Superconductivity · Physics 2015-11-11 Yucel Yildirim , Wei Ku

Topological phases in electronic structures contain a new type of topology, called fragile, which can arise, for example, when an Elementary Band Representation (Atomic Limit Band) splits into a particular set of bands. We obtain, for the…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 Zhida Song , L. Elcoro , Nicolas Regnault , B. Andrei Bernevig

Centrosymmetric multiband superconductors which break time-reversal symmetry generically have two-dimensional nodes, i.e., Fermi surfaces of Bogoliubov quasiparticles. We show that the coupling of the electrons to the lattice always leads…

Superconductivity · Physics 2021-01-22 Carsten Timm , P. M. R. Brydon , Daniel F. Agterberg

Nonequilibrium properties of short-coherence-length s-wave superconductors are analyzed in the presence of extrinsic and intrinsic inhomogeneities. In general, the lowest-energy configurations of quasiparticle excitations are topological…

Superconductivity · Physics 2009-10-31 M. I. Salkola , J. R. Schrieffer

We report the observation of a symmetry-protected topological time crystal, which is implemented with an array of programmable superconducting qubits. Unlike the time crystals reported in previous experiments, where spontaneous breaking of…

We investigate states on the surface of strong and weak topological insulators and superconductors that have been gapped by a symmetry breaking term. The surface of a strong 3D topological insulator gapped by a magnetic material is well…

Mesoscale and Nanoscale Physics · Physics 2014-10-07 Ching-Kai Chiu

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

Starting from a random matrix model, we construct the low-energy effective field theory for the noninteracting gas of quasiparticles of a disordered superconductor in the mixed state. The theory is a nonlinear sigma model, with the order…

Superconductivity · Physics 2009-10-31 R. Bundschuh , C. Cassanello , D. Serban , M. R. Zirnbauer
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