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Time reversal symmetric topological superconductors in three spatial dimensions carry gapless surface Majorana fermions. They are robust against any time reversal symmetric single-body perturbation weaker than the bulk energy gap. We mimic…

Strongly Correlated Electrons · Physics 2016-10-26 Sharmistha Sahoo , Zhao Zhang , Jeffrey C. Y. Teo

We establish that Majorana fermions on the boundary of topological superconductors have only spin-triplet superconducting correlations independent of whether the bulk superconducting gap is spin singlet or triplet. This is universal for…

Superconductivity · Physics 2015-08-05 Xin Liu , Jay D. Sau , S. Das Sarma

We show that the pair of Majorana modes at each end of a 1D spin triplet superconductor with total Cooper pair spin S_x=0 (i.e., Delta_{up,up} = -Delta_{down,down} = p*Delta_0; two uncoupled time reversed copies of the Kitaev p-wave chain)…

Mesoscale and Nanoscale Physics · Physics 2014-02-07 E. Dumitrescu , Sumanta Tewari

Chiral topological semimetals host multifold degenerate band crossing points under the protection of crystalline symmetries. In this paper, we suggest that the recently discovered chiral topological semimetals in space group 198, parts of…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Yingyi Huang , Shao-Kai Jian

We construct time reversal invariant topological superconductors and superfluids in two and three dimensions which are analogous to the recently discovered quantum spin Hall and three-d $Z_2$ topological insulators respectively. These…

Superconductivity · Physics 2013-05-29 Xiao-Liang Qi , Taylor L. Hughes , Srinivas Raghu , Shou-Cheng Zhang

We study the superconducting instabilities of a single species of two-dimensional Rashba-Dirac fermions, as it pertains to the surface of a three-dimensional time-reversal symmetric topological band insulators. We also discuss the…

Superconductivity · Physics 2013-05-29 Luiz Santos , Titus Neupert , Claudio Chamon , Christopher Mudry

Topological superconductors are foreseen as good candidates for the search of Majorana zero modes, where they appear as edge states and can be used for quantum computation. In this context, it becomes necessary to study the robustness and…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Dunkan Martínez , Álvaro Díaz-Fernández , Pedro A Orellana , Francisco Domínguez-Adame

A one-dimensional time-reversal-invariant topological superconductor hosts a Majorana Kramers pair at each end, where time-reversal symmetry acts as a supersymmetry that flips local fermion parity. We examine the transport anomaly of such a…

Strongly Correlated Electrons · Physics 2017-11-02 Zhi-qiang Bao , Fan Zhang

Time-reversal symmetry (TRS) protection is core to topological physics, yet its role in correlated oxides-typically non-topological-remains underexplored. This limit hampers the potential in engineering exotic quantum states by fusing TRS…

The recently discovered superconductor CuxBi2Se3 is a candidate for three-dimensional time- reversal-invariant topological superconductors, which are predicted to have robust surface Andreev bound states hosting massless Majorana fermions.…

Superconductivity · Physics 2012-03-12 Timothy H. Hsieh , Liang Fu

We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

The properties of surface Dirac Fermions on a 3D topological insulator in proximity to a magnetic insulator with spatially textured magnetization are considered. We present an exact analytical treatment of the spectrum, the bound states and…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Christian Wickles , Wolfgang Belzig

The surface states of three-dimensional topological insulators exhibit a helical spin texture with spin locked to momentum. To date, however, the direct all-electrical detection of the helical spin texture has remained elusive owing to the…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Shi-Han Zheng , Hou-Jian Duan , Mou Yang , Rui-Qiang Wang

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

The massless Dirac fermions residing on the surface of three-dimensional topological insulators are protected from backscattering and cannot be localized by disorder, but such protection can be lifted in ultrathin films when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 A. A. Taskin , Satoshi Sasaki , Kouji Segawa , Yoichi Ando

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…

We propose a new type of topological surface modes having cubic dispersion in three-dimensional topological superconductors. Lower order dispersions are prohibited by the threefold rotational symmetry and time-reversal symmetry. Cooper…

Mesoscale and Nanoscale Physics · Physics 2015-04-21 Chen Fang , B. Andrei Bernevig , Matthew J. Gilbert

We investigate the effects of topological order on the transition temperature, $T_c$, and response functions in fermionic superfluids with Rashba spin-orbit coupling and a transverse Zeeman field in three dimensions. Our calculations,…

Quantum Gases · Physics 2016-05-10 Brandon M. Anderson , Chien-Te Wu , Rufus Boyack , K. Levin

We study three-dimensional time-reversal-invariant topological superconductivity in noncentrosymmetric materials such as RhSi, CoSi, and AlPt which host coupled multifold nodes energetically split by the spin-orbit coupling at the same…

Superconductivity · Physics 2022-01-11 Changhee Lee , Chiho Yoon , Taehyeok Kim , Suk Bum Chung , Hongki Min

We show that the quantum charge and spin fluctuations, while sufficiently renormalizing the magnetic order parameter, do not destroy the coexistence phase of chiral d+id superconductivity and 120-degree spin ordering in a strongly…

Superconductivity · Physics 2019-07-09 Valery V. Val'kov , Anton O. Zlotnikov