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If the topological insulator Bi$_{2}$Se$_{3}$ is doped with electrons, superconductivity with $T_{{\rm c}}\approx3-4\:{\rm K}$ emerges for a low density of carriers ($n\approx10^{20}{\rm cm}^{-3}$) and with a small ratio of the…

Superconductivity · Physics 2018-05-28 Matthias Hecker , Jörg Schmalian

A nematic topological superconductor has an order parameter symmetry, which spontaneously breaks the crystalline symmetry in its superconducting state. This state can be observed, for example, by thermodynamic or upper critical field…

We study the effects of magnetization on the properties of the doped topological insulator with nematic superconductivity. We found that the direction of the in-plane magnetization fixes the direction of the nematicity in the system. The…

Superconductivity · Physics 2023-08-03 D. A. Khokhlov , R. S. Akzyanov , A. V. Kapranov

The low-temperature variation of the London penetration depth $\lambda (T)$ in the candidate topological superconductor Nb$_x$Bi$_2$Se$_3$ (x = 0.25) is reported for several crystals. The measurements were carried out by means of a…

Superconductivity · Physics 2016-11-30 M. P. Smylie , H. Claus , U. Welp , W. -K. Kwok , Y. Qiu , Y. S. Hor , A. Snezhko

We report an unexpected positive hydrostatic pressure derivative of the superconducting transition temperature in the doped topological insulator \NBS via $dc$ SQUID magnetometry in pressures up to 0.6 GPa. This result is contrary to…

Superconductivity · Physics 2017-11-01 M. P. Smylie , K. Willa , K. Ryan , H. Claus , W. -K. Kwok , Y. Qiu , Y. S. Hor , U. Welp

We present resistivity and magnetization measurements on proton-irradiated crystals demonstrating that the superconducting state in the doped topological superconductor Nb$_x$Bi$_2$Se$_3$ (x = 0.25) is surprisingly robust against…

Superconductivity · Physics 2017-09-27 M. P. Smylie , K. Willa , H. Claus , A. Snezhko , I. Martin , W. -K. Kwok , Y. Qiu , Y. S. Hor , E. Bokari , P. Niraula , A. Kayani , V. Mishra , U. Welp

Spontaneous rotational-symmetry breaking in the superconducting state of doped $\mathrm{Bi}_2\mathrm{Se}_3$ has attracted significant attention as an indicator for topological superconductivity. In this paper, high-resolution calorimetry of…

The superconductivity recently found in the doped topological insulator Cu_xBi_2Se_3 offers a great opportunity to search for a topological superconductor. We have successfully prepared a single-crystal sample with a large shielding…

Superconductivity · Physics 2011-03-25 M. Kriener , Kouji Segawa , Zhi Ren , Satoshi Sasaki , Yoichi Ando

Topological superconductivity is central to a variety of novel phenomena involving the interplay between topologically ordered phases and broken-symmetry states. The key ingredient is an unconventional order parameter, with an orbital…

Topological insulators embody a new state of matter characterized entirely by the topological invariants of the bulk electronic structure rather than any form of spontaneously broken symmetry. Unlike the 2D quantum Hall or quantum…

A state of matter with a multi-component order parameter can give rise to vestigial order. In the vestigial phase, the primary order is only partially melted, leaving a remaining symmetry breaking behind, an effect driven by strong…

We study the spontaneous breaking of rotational symmetry in the helical surface state of three-dimensional topological insulators due to strong electron-electron interactions, focusing on time-reversal invariant nematic order. Owing to the…

Strongly Correlated Electrons · Physics 2018-01-24 Rex Lundgren , Hennadii Yerzhakov , Joseph Maciejko

We investigate the spin conductivity of topological insulators taking into account both the surface and quasi-two-dimensional bulk states. We apply a low-energy expansion of the Hamiltonian up to the third order in momentum and take into…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 R. S. Akzyanov , A. L. Rakhmanov

Sr$_x$Bi$_2$Se$_3$ and the related compounds Cu$_x$Bi$_2$Se$_3$ and Nb$_x$Bi$_2$Se$_3$ have attracted considerable interest, as these materials may be realizations of unconventional topological superconductors. Superconductivity with T$_c$…

We study the interplay of nematic and superconducting order in the two-dimensional Hubbard model and show that they can coexist, especially when superconductivity is not the energetically dominant phase. Due to a breaking of the $C_4$…

Strongly Correlated Electrons · Physics 2016-09-07 Jan Kaczmarczyk , Tobias Schickling , Jörg Bünemann

Topological superconductivity is an exotic quantum phenomenon with coupled nontrivial topological order and superconductivity together. A direct idea for producing topological superconductors is to create superconductivity based on the well…

Superconductivity · Physics 2022-08-23 Hao Yu , Noah F. Q. Yuan , Wei-Jian Li , Liu-Cheng Chen , Zi-Yu Cao , Di Li , Xiaoying Qin , Chang-De Gong , Xiao-Jia Chen

After the discovery of nematic topological superconductivity in CuxBi2Se3, carrier-doped topological insulators are established as a fertile ground for topological superconductors. The superconductor Cu1.5(PbSe)5(Bi2Se3)6 (CPSBS) contains…

Superconductivity · Physics 2019-01-02 Lionel Andersen , Zhiwei Wang , Thomas Lorenz , Yoichi Ando

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee

We explore higher order topological superconductivity in an artificial Dirac material with intrinsic spin-orbit coupling, which is a doped $\mathbb{Z}_2$ topological insulator in the normal state. A mechanism for superconductivity due to…

Superconductivity · Physics 2022-06-01 Harley D. Scammell , Julian Ingham , Max Geier , Tommy Li

ARPES studies of the protected surface states in the Topological Insulator $% Bi_{2}Te_{3}$ have revealed the existence of an important hexagonal warping term in its electronic band structure. This term distorts the shape of the Dirac cone…

Mesoscale and Nanoscale Physics · Physics 2023-06-12 Zhou Li , J. P. Carbotte
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