Topological Phase Transitions in Multicomponent Superconductors

Wang, Yuxuan; Fu, Liang

doi:10.1103/physrevlett.119.187003

Title: Topological Phase Transitions in Multicomponent Superconductors

Journal Article · Fri Nov 03 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.119.187003· OSTI ID:1505746

Wang, Yuxuan ^[1]; Fu, Liang ^[2]

Univ. of Illinois, Urbana-Champaign, IL (United States). Inst. for Condensed Matter Theory, Dept. of Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics

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.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010526

OSTI ID:: 1505746

Alternate ID(s):: OSTI ID: 1408182

Journal Information:: Physical Review Letters, Vol. 119, Issue 18; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 26 works

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Figures / Tables (3)

p wave. In (c),(d) without inversion symmetry, 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." data-ostiid="1505746">

FIG. 1(p. 3) FIG. 1

FIG. 2(p. 5)

FIG. 3(p. 5)

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