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In materials without an inversion center of symmetry the spin degeneracy of the conducting band is lifted by an antisymmetric spin orbit coupling (ASOC). Under such circumstances, spin and parity cannot be separately used to classify the…

Superconductivity · Physics 2016-08-31 P. A. Frigeri , D. F. Agterberg , I. Milat , M. Sigrist

Motivated by the recent experiment indicating that superconductivity in the doped topological insulator Cu$_x$Bi$_2$Se$_3$ has an odd-parity pairing symmetry with rotational symmetry breaking, we study the general class of odd-parity…

Superconductivity · Physics 2016-12-15 Jörn W. F. Venderbos , Vladyslav Kozii , Liang Fu

We show that a spontaneous strain and spontaneous magnetization can arise in the doped topological insulators with a two-component superconducting vector order parameter. The details of the effects crucially depend on the symmetry of the…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 R. S. Akzyanov , A. V. Kapranov , A. L. Rakhmanov

Based on a self-consistent $t$-matrix approximation, we explore the influence of magnetic and nonmagnetic doping on the surface electronic states and conductivity of topological insulators. We show that warping parameter has a crucial…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Masomeh Arabikhah , Alireza Saffarzadeh

Doped strong topological insulators are one of the most promising candidates to realize a fully gapped three-dimensional topological superconductor (TSC). In this letter, we revisit this system and reveal a possibility for higher-order…

Superconductivity · Physics 2022-11-03 Sayed Ali Akbar Ghorashi , Jennifer Cano , Enrico Rossi , Taylor L. Hughes

We study the effects of a finite density of negative-$U$ centers (NUCs) on the surface of a three-dimensional topological insulator. The surface Dirac fermions mediate a power-law interaction among the local Cooper pairs at the NUCs, and…

Strongly Correlated Electrons · Physics 2014-09-26 Jian-Huang She , Alexander V. Balatsky

We present a theory of the high-spin generalization of topological insulators and their doped superconducting states. The higher-spin topological insulators involve a pair of $J=3/2$ bands with opposite parity, and are characterized by…

Superconductivity · Physics 2018-11-21 Takuto Kawakami , Tetsuya Okamura , Shingo Kobayashi , Masatoshi Sato

Time-reversal-invariant topological superconductors have a full paring gap in the bulk and gapless Majorana states at the edge or on the surface. Here, we theoretically propose topological superconductivity in a doped quantum spin Hall…

Superconductivity · Physics 2014-08-08 Jing Wang , Yong Xu , Shou-Cheng Zhang

Topological phononic insulators are the counterpart of three-dimensional quantum spin Hall insulators in phononic systems and, as such, their topological surfaces are characterized by Dirac cone-shaped gapless edge states arising as a…

Superconductivity · Physics 2022-08-17 Daniele Di Miceli , Chandan Setty , Alessio Zaccone

We determine the nature of the magnetic order on the surface of a topological insulator (TI) which develops due to hexagonal warping and the resulting Fermi surface (FS) nesting in the presence of a repulsive Hubbard interaction. For this…

Mesoscale and Nanoscale Physics · Physics 2015-04-08 Daniel Mendler , Panagiotis Kotetes , Gerd Schön

We consider the effect of the nematic order on the formation of the superconducting state in iron pnictides and chalcogenides. Nematic order with the $B_{2g}$ symmetry is modelled as the $d$-type Pomeranchuk instability and treated within…

Superconductivity · Physics 2024-11-01 M. M. Korshunov , Yu. N. Togushova

Spin-triplet superconductors provide an ideal platform for realizing topological superconductivity with emergent Majorana quasiparticles. The promising candidate is the recently discovered superconductor UTe$ _2$, but the symmetry of the…

The temperature dependence of the London penetration depth $\Delta\lambda(T)$ in the superconducting doped topological crystalline insulator Sn$_{1-x}$In$_x$Te was measured down to 450 mK for two different doping levels, x $\approx$ 0.45…

Although more than twenty years have passed since the discovery of high temperature cuprate superconductivity, the identification of the superconducting order parameter is still under debate. Here, we show that the nodal gap component is…

Superconductivity · Physics 2009-11-13 W. Guyard , A. Sacuto , M. Cazayous , Y. Gallais , M. Le Tacon , D. Colson , A. Forget

We investigate the charge conductivity and current-induced spin polarization on the surface state of a three-dimensional topological insulator by including the hexagonal warping effect of Fermi surface both in classical and quantum…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 C. M. Wang , F. J. Yu

Near a two-dimensional Ising-type nematic quantum critical point, the quantum fluctuations of the nematic order parameter are coupled to the electrons, leading to non-Fermi liquid behavior and unconventional superconductivity. The interplay…

Superconductivity · Physics 2025-12-24 Jie Huang , Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

The discovery of unconventional superconductivity in the heavy-fermion material UTe$_2$ has reinvigorated research of spin-triplet superconductivity. We perform a theoretical study of coupled two-component spin-triplet superconducting order…

Superconductivity · Physics 2024-02-23 Henrik S. Røising , Max Geier , Andreas Kreisel , Brian M. Andersen

The nematic-superconductor state is an example of a quantum liquid crystal that breaks gauge as well as rotation invariance. It was conjectured to exist in the pseudogap regime of the cuprates high $T_c$ superconductors. The…

Superconductivity · Physics 2016-11-18 Daniel G. Barci , Rafael V. Clarim , Nei L. Silva Júnior

The Bi$_2$Se$_3$ class of topological insulators has recently been shown to undergo a superconducting transition upon hole or electron doping (Cu$_x$-Bi$_2$Se$_3$ with T$_C$=3.8$^o$K and Pd$_x$-Bi$_2$Te$_3$ with T$_C$=5$^o$K), raising the…

The thermal conductivity of the doped topological crystalline insulator, Sn$_{0.6}$In$_{0.4}$Te superconducting single crystal with $T_c =$ 4.1 K, was measured down to 50 mK. It is found that the residual linear term $\kappa_0/T$ is…

Superconductivity · Physics 2013-07-26 L. P. He , Z. Zhang , J. Pan , X. C. Hong , S. Y. Zhou , S. Y. Li