Rotational Symmetry Breaking in a Trigonal Superconductor Nb-doped 
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Asaba, Tomoya; Lawson, Benjamin; Tinsman, Colin; Chen, Lu; Corbae, Paul; Li, Gang; Qiu, Yuan; Hor, Y. S.; Fu, Liang; Li, Lu

doi:10.1103/physrevx.7.011009

Cited by 189 publications

(199 citation statements)

References 31 publications

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“…Discussion and conclusions-The features of the TRSB2 phase predicted in this work are consistent with all the observations made in recent experiments with Nb x Bi 2 Se 3 : the breaking of rotation [27] and time-reversal symmetry [26] and the presence of point nodes [28]. These conclusions remain valid also if the scalar and vector representations are split due lattice symmetries.…”

supporting

confidence: 91%

“…We find three novel mixed TRSB phases that differ in the way rotation and gauge symmetries are broken and can be distinguished by their bulk spectrum, which may be gapped or feature Weyl nodes or nodal lines, or by the existence of surface states. We find a phase that is consistent with the surface magnetization [26], rotation symmetry breaking [27] and the existence of linear nodes [28].…”

supporting

confidence: 57%

“…The magnetization survived only at the surface in the Meissner state, and it was claimed to originate from Nb magnetic moments. In the same compound, a later torque magnetometry experiment [27] showed clear signatures of rotation symmetry breaking, and penetration depth measurements revealed a power law dependence with temperature [28] which points to the existence of nodes in the gap.…”

mentioning

confidence: 82%

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Time-reversal and rotation symmetry breaking superconductivity in Dirac materials

2017

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We consider mixed symmetry superconducting phases in Dirac materials in the odd parity channel, where pseudoscalar and vector order parameters can coexist due to their similar critical temperatures when attractive interactions are of finite range. We show that the coupling of these order parameters to unordered magnetic dopants favors the condensation of novel time-reversal symmetry breaking (TRSB) phases, characterized by a condensate magnetization, rotation symmetry breaking, and simultaneous ordering of the dopant moments. We find a rich phase diagram of mixed TRSB phases characterized by peculiar bulk quasiparticles, with Weyl nodes and nodal lines, and distinctive surface states. These findings are consistent with recent experiments on NbxBi2Se3 that report evidence of point nodes, nematicity, and TRSB superconductivity induced by Nb magnetic moments. [5] and from Josephson tunneling experiments. The two-dimensional p + ip state in particular has attracted great interest as a topological superconductor with protected edge and vortex modes, of potential use in the field of quantum computation [6,7]. In a three dimensions chiral SC is also possible, allowing the realization of a Weyl superconductor with Majorana arcs on the surface [8][9][10], but realistic candidate materials for this superconducting state are lacking.

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supporting

confidence: 91%

supporting

confidence: 57%

mentioning

confidence: 82%

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Time-reversal and rotation symmetry breaking superconductivity in Dirac materials

2017

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“…[6]. Very recent magnetotransport [22] and torque magnetometry [23] measurements further support this.…”

mentioning

confidence: 60%

Odd-parity superconductors with two-component order parameters: Nematic and chiral, full gap, and Majorana node

2016

Self Cite

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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 superconductors with two-component order parameters in trigonal and hexagonal crystal systems. In the presence of strong spin-orbit interaction, we find two possible superconducting phases below T c , a time-reversal-breaking (i.e., chiral) phase and an anisotropic (i.e., nematic) phase, and determine their relative energetics from the gap function in momentum space. The nematic superconductor generally has a full quasiparticle gap, whereas the chiral superconductor with a three-dimensional (3D) Fermi surface has point nodes with lifted spin degeneracy, resulting in itinerant Majorana fermions in the bulk and topological Majorana arcs on the surface.

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“…Our proposed global phase diagram of a dirty class DIII system (see Figs. 1, 3) can be relevant for strong spin-orbit coupled doped semiconductors [5][6][7][8][9][10][11][12][13][14][15][16], and 3 He in aerogel [57,58]. It is worth mentioning that Fig.…”

Section: Metal-insulator Transition (Mit)mentioning

confidence: 99%

Global Phase Diagram of a Three-Dimensional Dirty Topological Superconductor

Roy

Alavirad

2017

Phys. Rev. Lett.

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We investigate the phase diagram of a three-dimensional, time-reversal symmetric topological superconductor in the presence of charge impurities and random s-wave pairing. Combining complimentary field theoretic and numerical methods, we show that the quantum phase transition between two topologically distinct paired states (or thermal insulators), described by thermal Dirac semimetal, remains unaffected in the presence of sufficiently weak generic randomness. At stronger disorder, however, these two phases are separated by an intervening thermal metallic phase of diffusive Majorana fermions. We show that across the insulator-insulator and metal-insulator transitions, normalized thermal conductance displays single parameter scaling, allowing us to numerically extract the critical exponents across them. The pertinence of our study in strong spin-orbit coupled, three-dimensional doped narrow gap semiconductors, such as CuxBi2Se3, is discussed.

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Rotational Symmetry Breaking in a Trigonal Superconductor Nb-doped Bi2Se3

Cited by 189 publications

References 31 publications

Time-reversal and rotation symmetry breaking superconductivity in Dirac materials

Time-reversal and rotation symmetry breaking superconductivity in Dirac materials

Odd-parity superconductors with two-component order parameters: Nematic and chiral, full gap, and Majorana node

Global Phase Diagram of a Three-Dimensional Dirty Topological Superconductor

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