Superconductor-Insulator Transition and Fermi-Bose Crossovers

Loh, Yen Lee; Randeria, Mohit; Trivedi, Nandini; Chang, Chia-Chen; Scalettar, Richard

doi:10.1103/PhysRevX.6.021029

Title: Superconductor-Insulator Transition and Fermi-Bose Crossovers

Abstract

The direct transition from an insulator to a superconductor (SC) in Fermi systems is a problem of long-standing interest, which necessarily goes beyond the standard BCS paradigm of superconductivity as a Fermi surface instability. We introduce here a simple, translationally invariant lattice fermion model that undergoes a SC-insulator transition (SIT) and elucidate its properties using analytical methods and quantum Monte Carlo simulations. We show that there is a fermionic band insulator to bosonic insulator crossover in the insulating phase and a BCS-to-BEC crossover in the SC. The SIT is always found to be from a bosonic insulator to a BEC-like SC, with an energy gap for fermions that remains finite across the SIT. Hence, the energy scales that go critical at the SIT are the gap to pair excitations in the insulator and the superfluid stiffness in the SC. In addition to giving insight into important questions about the SIT in solid-state systems, our model should be experimentally realizable using ultracold fermions in optical lattices.

Authors:: Loh, Yen Lee; Randeria, Mohit; Trivedi, Nandini; Chang, Chia-Chen; Scalettar, Richard

Publication Date:: Tue May 31 00:00:00 EDT 2016

Research Org.:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Org.:: USDOE; National Science Foundation (NSF); UC Office of the President

OSTI Identifier:: 1254897

Alternate Identifier(s):: OSTI ID: 1280978

Grant/Contract Number:: FG02-07ER46423; AC52-07NA27344; 15-ERD-013

Resource Type:: Published Article

Journal Name:: Physical Review. X

Additional Journal Information:: Journal Name: Physical Review. X Journal Volume: 6 Journal Issue: 2; Journal ID: ISSN 2160-3308

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; quantum monte-carlo; hubbard-model; einstein condensation; ultracold atoms; mott insulator; lattice; physics; superfluid; excitons; systems

Citation Formats


                    Loh, Yen Lee, Randeria, Mohit, Trivedi, Nandini, Chang, Chia-Chen, and Scalettar, Richard. Superconductor-Insulator Transition and Fermi-Bose Crossovers.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevX.6.021029.

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                    Loh, Yen Lee, Randeria, Mohit, Trivedi, Nandini, Chang, Chia-Chen, & Scalettar, Richard. Superconductor-Insulator Transition and Fermi-Bose Crossovers.  United States.  https://doi.org/10.1103/PhysRevX.6.021029

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                    Loh, Yen Lee, Randeria, Mohit, Trivedi, Nandini, Chang, Chia-Chen, and Scalettar, Richard. Tue .  
"Superconductor-Insulator Transition and Fermi-Bose Crossovers".  United States.  https://doi.org/10.1103/PhysRevX.6.021029.

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@article{osti_1254897,

  title        = {Superconductor-Insulator Transition and Fermi-Bose Crossovers},

  author       = {Loh, Yen Lee and Randeria, Mohit and Trivedi, Nandini and Chang, Chia-Chen and Scalettar, Richard},

  abstractNote = {The direct transition from an insulator to a superconductor (SC) in Fermi systems is a problem of long-standing interest, which necessarily goes beyond the standard BCS paradigm of superconductivity as a Fermi surface instability. We introduce here a simple, translationally invariant lattice fermion model that undergoes a SC-insulator transition (SIT) and elucidate its properties using analytical methods and quantum Monte Carlo simulations. We show that there is a fermionic band insulator to bosonic insulator crossover in the insulating phase and a BCS-to-BEC crossover in the SC. The SIT is always found to be from a bosonic insulator to a BEC-like SC, with an energy gap for fermions that remains finite across the SIT. Hence, the energy scales that go critical at the SIT are the gap to pair excitations in the insulator and the superfluid stiffness in the SC. In addition to giving insight into important questions about the SIT in solid-state systems, our model should be experimentally realizable using ultracold fermions in optical lattices.},

  doi          = {10.1103/PhysRevX.6.021029},

  journal      = {Physical Review. X},

  number       = 2,

  volume       = 6,

  place        = {United States},

  year         = {Tue May 31 00:00:00 EDT 2016},

  month        = {Tue May 31 00:00:00 EDT 2016}

}

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Title: Superconductor-Insulator Transition and Fermi-Bose Crossovers

Abstract

Citation Formats

Monte Carlo Method for Magnetic Impurities in Metals journal, June 1986

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Critical Capacitance and Charge-Vortex Duality Near the Superfluid-to-Insulator Transition journal, December 2014

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Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition journal, April 2014

Boson localization and the superfluid-insulator transition journal, July 1989

Fermi Surface of the Most Dilute Superconductor journal, April 2013

Numerical study of the two-dimensional Hubbard model journal, July 1989

Lattice Green's Functions for the Triangular and Honeycomb Lattices journal, September 1972

Mott Physics in Organic Conductors with Triangular Lattices journal, March 2011

Localization of preformed Cooper pairs in disordered superconductors journal, January 2011

Superconductor–insulator transition in La2 − xSr x CuO4 at the pair quantum resistance journal, April 2011

Crossover from Bardeen-Cooper-Schrieffer to Bose-Einstein Condensation and the Unitary Fermi Gas journal, March 2014

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Electric field control of the LaAlO3/SrTiO3 interface ground state journal, December 2008

Superconducting-Insulating Transition in Two-Dimensional a -MoGe Thin Films journal, April 1995

Role of Spatial Amplitude Fluctuations in Highly Disordered s -Wave Superconductors journal, November 1998

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Insulator, metal, or superconductor: The criteria journal, April 1993

Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms journal, January 2002

Monte Carlo calculations of coupled boson-fermion systems. I journal, October 1981

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Doping a Mott insulator: Physics of high-temperature superconductivity journal, January 2006

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Stochastic method for analytic continuation of quantum Monte Carlo data journal, May 1998

Pseudogap in a thin film of a conventional superconductor journal, December 2010

Superconductor-insulator transition in a disordered electronic system journal, August 1996

Magnetic-field-tuned superconductor-insulator transition in two-dimensional films journal, August 1990

Inhomogeneous pairing in highly disordered s -wave superconductors journal, November 2001

Fermi-Hubbard Physics with Atoms in an Optical Lattice journal, August 2010

Monte Carlo Method for Magnetic Impurities in Metals
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Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
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Critical Capacitance and Charge-Vortex Duality Near the Superfluid-to-Insulator Transition
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From semiconductors to superconductors: a simple model for pseudogaps
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The dynamics of quantum criticality revealed by quantum Monte Carlo and holography
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Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition
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Boson localization and the superfluid-insulator transition
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Numerical study of the two-dimensional Hubbard model
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Lattice Green's Functions for the Triangular and Honeycomb Lattices
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Mott Physics in Organic Conductors with Triangular Lattices
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Localization of preformed Cooper pairs in disordered superconductors
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Superconductor–insulator transition in La2 − xSr x CuO4 at the pair quantum resistance
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Phase Fluctuations in a Strongly Disordered $s$ -Wave NbN Superconductor Close to the Metal-Insulator Transition
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Monte Carlo calculations of coupled boson-fermion systems. I
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Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
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Doping a Mott insulator: Physics of high-temperature superconductivity
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Shallow pockets and very strong coupling superconductivity in FeSexTe1−x
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Single- and two-particle energy gaps across the disorder-driven superconductor–insulator transition
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Spontaneous Bose Coherence of Excitons and Polaritons
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Bose–Einstein condensation of excitons in bilayer electron systems
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Stochastic method for analytic continuation of quantum Monte Carlo data
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Pseudogap in a thin film of a conventional superconductor
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Superconductor-insulator transition in a disordered electronic system
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Fermi-Hubbard Physics with Atoms in an Optical Lattice
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