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Title: Topological Phase Transitions in Multicomponent Superconductors

Abstract

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology, and energetics, we show that for a generic normal state band structure, the phase transition occurs via extended intermediate phases in which even- and odd-parity pairing components coexist. For inversion-symmetric systems, the coexistence phase spontaneously breaks time-reversal symmetry. For noncentrosymmetric superconductors, the low-temperature intermediate phase is time-reversal breaking, while the high-temperature phase preserves time-reversal symmetry and has topologically protected line nodes. Furthermore, with approximate rotational invariance, the system has an emergent U (1) × U (1) symmetry, and novel topological defects, such as half vortex lines binding Majorana fermions, can exist. We analytically solve for the dispersion of the Majorana fermion and show that it exhibits small and large velocities at low and high energies. Finally, relevance of our theory to superconducting pyrochlore oxide Cd 2Re 2O 7 and half-Heusler materials is discussed.

Authors:
 [1];  [2]
  1. Univ. of Illinois, Urbana-Champaign, IL (United States). Inst. for Condensed Matter Theory, Dept. of Physics
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1505746
Alternate Identifier(s):
OSTI ID: 1408182
Grant/Contract Number:  
[SC0010526]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
[ Journal Volume: 119; Journal Issue: 18]; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Wang, Yuxuan, and Fu, Liang. Topological Phase Transitions in Multicomponent Superconductors. United States: N. p., 2017. Web. doi:10.1103/physrevlett.119.187003.
Wang, Yuxuan, & Fu, Liang. Topological Phase Transitions in Multicomponent Superconductors. United States. doi:10.1103/physrevlett.119.187003.
Wang, Yuxuan, and Fu, Liang. Fri . "Topological Phase Transitions in Multicomponent Superconductors". United States. doi:10.1103/physrevlett.119.187003. https://www.osti.gov/servlets/purl/1505746.
@article{osti_1505746,
title = {Topological Phase Transitions in Multicomponent Superconductors},
author = {Wang, Yuxuan and Fu, Liang},
abstractNote = {We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology, and energetics, we show that for a generic normal state band structure, the phase transition occurs via extended intermediate phases in which even- and odd-parity pairing components coexist. For inversion-symmetric systems, the coexistence phase spontaneously breaks time-reversal symmetry. For noncentrosymmetric superconductors, the low-temperature intermediate phase is time-reversal breaking, while the high-temperature phase preserves time-reversal symmetry and has topologically protected line nodes. Furthermore, with approximate rotational invariance, the system has an emergent U (1) × U (1) symmetry, and novel topological defects, such as half vortex lines binding Majorana fermions, can exist. We analytically solve for the dispersion of the Majorana fermion and show that it exhibits small and large velocities at low and high energies. Finally, relevance of our theory to superconducting pyrochlore oxide Cd2Re2O7 and half-Heusler materials is discussed.},
doi = {10.1103/physrevlett.119.187003},
journal = {Physical Review Letters},
number = [18],
volume = [119],
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 8 works
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Figures / Tables:

FIG. 1 FIG. 1: Schematic phase diagrams near a topological phase transition in multicomponent superconductors with (a),(b) and without (c),(d) inversion symmetry, and with (a),(c) and without (b),(d) rotational symmetry. In (a),(b), the “trivial" phase has an swave pairing symmetry and the “topological” phase is p wave. In (c),(d) without inversion symmetry,more » the topological phase corresponds to the region where the p-wave component is larger. In (c) at the dashed line one of the spin-textured Fermi surfaces is completely gapless, while in (d) in the region between the dashed lines the superconducting states have topologically protected line nodes on the Fermi surface.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.