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We propose a class of topological superconductivity in which the pairing order is $\mathbb{Z}_2$ topologically obstructed in a three-dimensional time-reversal invariant system. When two Fermi surfaces are related by time-reversal and mirror…

超导电性 · 物理学 2020-11-17 Canon Sun , Yi Li

We report intimate relations between topological properties of full gapped spin-triplet superconductors with time-reversal invariance and the Fermi surface topology in the normal states. An efficient method to calculate the Z2 invariants…

超导电性 · 物理学 2009-06-26 Masatoshi Sato

We show that spin-singlet $s$-wave multi-band superconductors have a topological phase protected by rotation symmetry and time-reversal symmetry without spin-orbit coupling in two and three dimensions. This topological phase, an example of…

超导电性 · 物理学 2024-10-08 Shingo Kobayashi , Akira Furusaki

We employed the self-consistent method on a two-orbital type-II time-reversal-symmetric Weyl semimetal, revealing a hybrid pairing of singlet $s$-wave and triplet $p$-wave. We present a detailed analysis of the normal-state electronic…

超导电性 · 物理学 2026-03-02 Junkang Huang , Z. D. Wang , Tao Zhou

A topological argument is presented for nodal structures of superconducting states with time-reversal invariance. A generic Hamiltonian which describes a quasiparticle in superconducting states with time-reversal invariance is derived, and…

超导电性 · 物理学 2007-05-23 Masatoshi Sato

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a $Z_2$…

强关联电子 · 物理学 2011-07-29 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

We further investigate a class of time-reversal-invariant two-band s-wave topological superconductors introduced in Phys. Rev. Lett. 108, 036803 (2012). We show how, in the presence of time-reversal symmetry, Z_2 invariants that distinguish…

超导电性 · 物理学 2015-06-15 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We present a detailed study of the gap symmetry and the quasiparticle wave function topology in two-dimensional superconductors without inversion center. The strong spin-orbit coupling of electrons with the crystal lattice makes it…

超导电性 · 物理学 2015-12-09 K. V. Samokhin

The topological phases of two-dimensional time-reversal symmetric insulators are classified by a $\mathbb{Z}_{2}$ topological invariant. Usually, the invariant is introduced and calculated by exploiting the way time-reversal symmetry acts…

介观与纳米尺度物理 · 物理学 2024-09-06 Nicolas Baù , Antimo Marrazzo

In this work we investigate the description of superconducting systems with multiple Fermi surfaces. For the case of one Fermi surface we re-obtain the result that the superconductor is more precisely described as a topological state of…

高能物理 - 理论 · 物理学 2016-08-23 P. R. Braga , D. R. Granado , M. S. Guimaraes , C. Wotzasek

We complete a classification of topological phases and their topological defects in crystalline insulators and superconductors. We consider topological phases and defects described by non-interacting Bloch and Bogoliubov de Gennes…

介观与纳米尺度物理 · 物理学 2014-10-15 Ken Shiozaki , Masatoshi Sato

We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-reversal or reflection symmetry. The topological invariants…

强关联电子 · 物理学 2017-05-31 Hassan Shapourian , Ken Shiozaki , Shinsei Ryu

Within the two-orbital model for BiS$_{2}$-based superconductors, the effect from a single nonmagnetic impurity scattering on the superconducting-state is investigated in terms of the T-matrix approach. By considering three kinds of the…

超导电性 · 物理学 2014-08-08 Bin Liu , Shiping Feng

Three-dimensional line-nodal superconductors exhibit nontrivial topology, which is protected by the time-reversal symmetry. Here we investigate four types of short-range interaction between the gapless line-nodal fermionic quasiparticles by…

超导电性 · 物理学 2021-03-15 Jing Wang

The recent discovery of heavy-fermion superconductor UTe$_2$ has broadened the possibility of realizing exotic time-reversal-symmetry-breaking superconductivity. However, a comprehensive understanding of the topological phases in the…

超导电性 · 物理学 2025-11-11 Yuki Yamazaki , Shingo Kobayashi

A topological theory of d-wave superconductors is derived in this thesis. Ginzburg-Landau theory describes superconductivity by defining a complex order parameter and applying Landau's theory for phase transitions. However, there is no…

超导电性 · 物理学 2008-04-09 Maria Hermanns

In the presence of both space and time reversal symmetries, an s-wave A1g superconducting state is usually topologically trivial. Here we demonstrate that an exception can take place in a type of nonsymmorphic lattice structures. We specify…

超导电性 · 物理学 2022-02-17 Shengshan Qin , Chen Fang , Fu-Chun Zhang , Jiangping Hu

We describe the mean-field model of a one-dimensional topological superconductor with two orbitals per unit cell. Time-reversal symmetry is absent, but a nonsymmorphic symmetry, involving a translation by a fraction of the unit cell, mimics…

介观与纳米尺度物理 · 物理学 2024-08-13 Max Tymczyszyn , Edward McCann

Second-order topological insulators are crystalline insulators with a gapped bulk and gapped crystalline boundaries, but topologically protected gapless states at the intersection of two boundaries. Without further spatial symmetries, five…

介观与纳米尺度物理 · 物理学 2017-12-20 Josias Langbehn , Yang Peng , Luka Trifunovic , Felix von Oppen , Piet W. Brouwer

A time-reversal invariant Kitaev-type model is introduced in which spins (Dirac matrices) on the square lattice interact via anisotropic nearest-neighbor and next-nearest-neighbor exchange interactions. The model is exactly solved by…

强关联电子 · 物理学 2012-04-13 Ryota Nakai , Shinsei Ryu , Akira Furusaki
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