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Conductor-Insulator Quantum Phase Transitions$
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Vladimir Dobrosavljevic, Nandini Trivedi, and James M. Valles, Jr.

Print publication date: 2012

Print ISBN-13: 9780199592593

Published to Oxford Scholarship Online: September 2012

DOI: 10.1093/acprof:oso/9780199592593.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 21 September 2021

Theoretical Studies of Superconductor–Insulator Transitions

Theoretical Studies of Superconductor–Insulator Transitions

(p.492) 17 Theoretical Studies of Superconductor–Insulator Transitions
Conductor-Insulator Quantum Phase Transitions

Yen Loh Lee

Nandini Trivedi

Oxford University Press

This chapter presents a theoretical treatment of two types of superconductor-insulator transitions — the disorder-tuned transition and the parallel-magnetic-field-tuned transition. This is performed within the framework of the attractive Hubbard model, which is a ‘minimal’ lattice model that nevertheless captures much of the essential physics. The effects of hopping, attraction, disorder, and parallel magnetic field are taken into account one by one in proressively more refined approximations, from pairing-of-exact-eigenstates to Bogoliubov-de Gennes to determinant quantum Monte Carlo. By examining the successes and failures of each approach, the chapter elucidates the role of amplitude and phase fluctuations. This pedagogical approach provides considerable details of the calculation of thermodynamic, transport, and spectral properties, such that a suitably inclined reader should be able to reproduce many of the results.

Keywords:   superconductivity, unconventional insulators, quantum phase transitions/critical phenomena, strongly correlated fermions, transport properties, spectral functions, disorder, localization, Bardeen-Cooper-Schrieffer, Bogoliubov-de Gennes, quantum Monte Carlo

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