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Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples

Motrunich, Olexei and Damle, Kedar and Husa, David A. (2001) Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples. Physical Review B, 63 (22). Art. No. 224204. ISSN 0163-1829. doi:10.1103/PhysRevB.63.224204.

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We introduce a strong-disorder renormalization group (RG) approach suitable for investigating the quasiparticle excitations of disordered superconductors in which the quasiparticle spin is not conserved. We analyze one-dimensional models with this RG and with elementary transfer matrix methods. We find that such models with broken spin rotation invariance generically lie in one of two topologically distinct localized phases. Close enough to the critical point separating the two phases, the system has a power-law divergent low-energy density of states (with a nonuniversal continuously varying power law) in either phase, due to quantum Griffiths singularities. This critical point belongs to the same infinite-disorder universality class as the one-dimensional particle-hole symmetric Anderson localization problem, while the Griffiths phases in the vicinity of the transition are controlled by lines of strong (but not infinite) disorder fixed points terminating in the critical point.

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Motrunich, Olexei0000-0001-8031-0022
Additional Information:© 2001 The American Physical Society Received 22 November 2000; published 22 May 2001 We would like to thank F.D.M. Haldane, B.I. Halperin, M. Hastings, I. Gruzberg, R. Moessner, and A. Vishwanath for valuable discussions, and C. Mudry and T. Senthil for useful comments on the manuscript. One of us (K.D.) was supported by NSF Grant No. DMR-9809483 while at Princeton and by NSF Grant No. DMR-9981283 at Harvard. The others acknowledge support of NSF Grant No. DMR-9802468.
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Issue or Number:22
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ID Code:7101
Deposited By: Archive Administrator
Deposited On:09 Jan 2007
Last Modified:08 Nov 2021 20:39

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