Phase diagram of the spin quantum Hall transition

We study a system which can be realized in a dirty, gapless superconductor in which time-reversal symmetry for orbital motion is broken, but spin-rotation symmetry is intact. We present a phase diagram in a phase-space of spin Hall conductance є and energy of quasiparticles ∆. It exhibits a direct...

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Bibliographic Details
Date:2018
Main Authors: Kagalovsky, V., Nemirovsky, D.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Series:Физика низких температур
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/176500
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Phase diagram of the spin quantum Hall transition / V. Kagalovsky, D. Nemirovsky // Физика низких температур. — 2018. — Т. 44, № 11. — С. 1559-1561. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We study a system which can be realized in a dirty, gapless superconductor in which time-reversal symmetry for orbital motion is broken, but spin-rotation symmetry is intact. We present a phase diagram in a phase-space of spin Hall conductance є and energy of quasiparticles ∆. It exhibits a direct transition between two insulating phases with quantized Hall conductances of zero and two for the conserved quasiparticles when ∆ = 0. The energy of the quasiparticles acts as a relevant symmetry-breaking field at the critical point, which splits the direct transition into two conventional plateau transitions. We use updated correct values of the critical exponents to define these two critical lines as є ~ ±∆⁶/⁷.