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Title: Colloquium: Anomalous metals: Failed superconductors

Abstract

The observation of metallic ground states in a variety of two-dimensional electronic systems poses a fundamental challenge for the theory of electron fluids. Here evidence is analyzed for the existence of a regime, called the “anomalous metal regime,” in diverse 2D superconducting systems driven through a quantum superconductor to metal transition by tuning physical parameters such as the magnetic field, the gate voltage in the case of systems with a metal-oxide semiconductor field-effect transistor (MOSFET) geometry, or the degree of disorder. The principal phenomenological observation is that in the anomalous metal, as a function of decreasing temperature, the resistivity first drops as if the system were approaching a superconducting ground state, but then saturates at low temperatures to a value that can be orders of magnitude smaller than the Drude value. The anomalous metal also shows a giant positive magnetoresistance. Thus, it behaves as if it were a “failed superconductor.” This behavior is observed in a broad range of parameters. It will be moreover exhibited, by theoretical solution of a model of superconducting grains embedded in a metallic matrix, that as a matter of principle such anomalous metallic behavior can occur in the neighborhood of a quantum superconductor to metalmore » transition. Furthermore, it will be also argued that the robustness and ubiquitous nature of the observed phenomena are difficult to reconcile with any existing theoretical treatment and speculate about the character of a more fundamental theoretical framework.« less

Authors:
 [1];  [1];  [2]
  1. Stanford Univ., Stanford, CA (United States)
  2. Univ. of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1503408
Alternate Identifier(s):
OSTI ID: 1492474
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Accepted Manuscript
Journal Name:
Reviews of Modern Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 1; Journal ID: ISSN 0034-6861
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Kapitulnik, Aharon, Kivelson, Steven A., and Spivak, Boris. Colloquium: Anomalous metals: Failed superconductors. United States: N. p., 2019. Web. doi:10.1103/revmodphys.91.011002.
Kapitulnik, Aharon, Kivelson, Steven A., & Spivak, Boris. Colloquium: Anomalous metals: Failed superconductors. United States. https://doi.org/10.1103/revmodphys.91.011002
Kapitulnik, Aharon, Kivelson, Steven A., and Spivak, Boris. Mon . "Colloquium: Anomalous metals: Failed superconductors". United States. https://doi.org/10.1103/revmodphys.91.011002. https://www.osti.gov/servlets/purl/1503408.
@article{osti_1503408,
title = {Colloquium: Anomalous metals: Failed superconductors},
author = {Kapitulnik, Aharon and Kivelson, Steven A. and Spivak, Boris},
abstractNote = {The observation of metallic ground states in a variety of two-dimensional electronic systems poses a fundamental challenge for the theory of electron fluids. Here evidence is analyzed for the existence of a regime, called the “anomalous metal regime,” in diverse 2D superconducting systems driven through a quantum superconductor to metal transition by tuning physical parameters such as the magnetic field, the gate voltage in the case of systems with a metal-oxide semiconductor field-effect transistor (MOSFET) geometry, or the degree of disorder. The principal phenomenological observation is that in the anomalous metal, as a function of decreasing temperature, the resistivity first drops as if the system were approaching a superconducting ground state, but then saturates at low temperatures to a value that can be orders of magnitude smaller than the Drude value. The anomalous metal also shows a giant positive magnetoresistance. Thus, it behaves as if it were a “failed superconductor.” This behavior is observed in a broad range of parameters. It will be moreover exhibited, by theoretical solution of a model of superconducting grains embedded in a metallic matrix, that as a matter of principle such anomalous metallic behavior can occur in the neighborhood of a quantum superconductor to metal transition. Furthermore, it will be also argued that the robustness and ubiquitous nature of the observed phenomena are difficult to reconcile with any existing theoretical treatment and speculate about the character of a more fundamental theoretical framework.},
doi = {10.1103/revmodphys.91.011002},
journal = {Reviews of Modern Physics},
number = 1,
volume = 91,
place = {United States},
year = {Mon Jan 28 00:00:00 EST 2019},
month = {Mon Jan 28 00:00:00 EST 2019}
}

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Works referenced in this record:

Vortices and Quasiparticles near the Superconductor-Insulator Transition in Thin Films
journal, August 2005


The Elusive Bose Metal
journal, October 2003


Magnetically induced metallic phase in superconducting tantalum films
journal, March 2006


Vortices in high-temperature superconductors
journal, October 1994


Influence of quenched impurities on first-order phase transitions
journal, April 1979


Superconducting Glass State in Disordered Thin Films in a Parallel Magnetic Field
journal, June 1998


Superconducting Dome in a Gate-Tuned Band Insulator
journal, November 2012


Destruction of superconductivity in granular and highly disordered metals
journal, December 1981


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


Spin Bose-metal phase in a spin- 1 2 model with ring exchange on a two-leg triangular strip
journal, May 2009


Disordered electronic systems
journal, April 1985


Floating phase in a dissipative Josephson junction array
journal, August 2005


Temporal correlations of superconductivity above the transition temperature in La2−xSrxCuO4 probed by terahertz spectroscopy
journal, February 2011

  • Bilbro, L. S.; Aguilar, R. Valdés; Logvenov, G.
  • Nature Physics, Vol. 7, Issue 4
  • DOI: 10.1038/nphys1912

Approach to a superconductor-to-Bose-insulator transition in disordered films
journal, June 2008

  • Steiner, Myles A.; Breznay, Nicholas P.; Kapitulnik, Aharon
  • Physical Review B, Vol. 77, Issue 21
  • DOI: 10.1103/PhysRevB.77.212501

Microwave, Flux Flow, and Fluctuation Resistance of Dirty Type-II Superconductors
journal, January 1970


Dissipative Dynamics of a Two-State System, the Kondo Problem, and the Inverse-Square Ising Model
journal, July 1995


Quantum dynamics of a superconducting tunnel junction
journal, December 1984


Numerical analysis of the Anderson localization
journal, October 2006


Dynamical Conductivity at the Dirty Superconductor-Metal Quantum Phase Transition
journal, October 2010


Destruction of superconductivity in quench-condensed two-dimensional films
journal, March 1986


Electric field depinning of charge density waves
journal, April 1979


Percolation Characteristics in Discontinuous Thin Films of Pb
journal, November 1982


Metallic ground state in an ion-gated two-dimensional superconductor
journal, October 2015


Random-field mechanism in random-bond multicritical systems
journal, May 1989


Quantum Superconductor-Metal Transition in a Proximity Array
journal, February 2001


Dissipation-Driven Superconductor-Insulator Transition in a Two-Dimensional Josephson-Junction Array
journal, March 1997


Rounding of first-order phase transitions in systems with quenched disorder
journal, May 1989


Electronically driven superconductor-insulator transition in electrostatically doped La 2 CuO 4 + δ thin films
journal, January 2013


Pinning in type II superconductors
journal, February 1979

  • Larkin, A. I.; Ovchinnikov, Yu. N.
  • Journal of Low Temperature Physics, Vol. 34, Issue 3-4
  • DOI: 10.1007/BF00117160

Effective-Field-Theory Model for the Fractional Quantum Hall Effect
journal, January 1989


Thickness dependence of the superconductivity in thin disordered NbSi films
journal, March 2009


Random transverse field Ising spin chains
journal, July 1992


Josephson junction coupled to an open transmission line: An application to the theory of macroscopic quantum tunneling
journal, February 1986


No sliding in time
journal, August 2005

  • Shtengel, Kirill; Nayak, Chetan; Bishara, Waheb
  • Journal of Physics A: Mathematical and General, Vol. 38, Issue 36
  • DOI: 10.1088/0305-4470/38/36/L01

True superconductivity in a two-dimensional superconducting-insulating system
journal, July 2001


Mesoscopic Effects in Disordered Superconductors near H c 2
journal, April 1995


Observation of Kosterlitz-Thouless-type melting of the disordered vortex lattice in thin films of a -MoGe
journal, January 1993


Local quantum criticality in the two-dimensional dissipative quantum XY model
journal, May 2015


Diffusion and Localization in a Dissipative Quantum System
journal, October 1983


Scaling properties of one-dimensional off-diagonal disorder
journal, November 2006


Effects of dissipation on quantum phase transitions
journal, March 2001


Global phase diagram in the quantum Hall effect
journal, July 1992


Electrical current carried by neutral quasiparticles
journal, November 2001


Onset of Global Phase Coherence in Josephson-Junction Arrays: A Dissipative Phase Transition
journal, May 1986

  • Chakravarty, Sudip; Ingold, Gert-Ludwig; Kivelson, Steven
  • Physical Review Letters, Vol. 56, Issue 21
  • DOI: 10.1103/PhysRevLett.56.2303

Quantum critical phenomena
journal, August 1976


Quantum Griffiths effects in metallic systems
journal, November 2002


Dissipation Effects on the Superconductor-Insulator Transition in 2D Superconductors
journal, June 1999


The Critical Fluctuation of the Order Parameter in Type-II Superconductors
journal, April 1968


Effects of the phase periodicity on the quantum dynamics of a resistively shunted Josephson junction
journal, November 1986

  • Zwerger, Wilhelm; Dorsey, Alan T.; Fisher, Matthew P. A.
  • Physical Review B, Vol. 34, Issue 9
  • DOI: 10.1103/PhysRevB.34.6518

Three distinct types of quantum phase transitions in a (2+1)-dimensional array of dissipative Josephson junctions
journal, June 2012


d-Wave to s-wave to normal metal transitions in disordered superconductors
journal, March 2009


Survival of superconducting correlations across the two-dimensional superconductor-insulator transition: A finite-frequency study
journal, May 2007


Electrical Conductivity of a Superconductor
journal, December 1969


Evidence for superconducting phase coherence in the metallic/insulating regime of the LaAlO 3 –SrTiO 3 interface electron system
journal, January 2016


Random-Field Instability of the Ordered State of Continuous Symmetry
journal, November 1975


Quantum superconductor–metal transition in a 2D proximity-coupled array
journal, September 1998


Dynamics of the dissipative two-state system
journal, January 1987

  • Leggett, A. J.; Chakravarty, S.; Dorsey, A. T.
  • Reviews of Modern Physics, Vol. 59, Issue 1
  • DOI: 10.1103/RevModPhys.59.1

Collapse of superconductivity in a hybrid tin–graphene Josephson junction array
journal, March 2014

  • Han, Zheng; Allain, Adrien; Arjmandi-Tash, Hadi
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2929

Macroscopic character of composite high-temperature superconducting wires
journal, November 2015


Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
journal, September 2017


Theory of the half-filled Landau level
journal, March 1993


Gate-induced superconductivity in a monolayer topological insulator
journal, October 2018


Structural and electrical properties of granular metal films
journal, May 1975


Onset of superconductivity in the two-dimensional limit
journal, May 1989


Superconductor-Insulator Transition in a Tunable Dissipative Environment
journal, October 1997


Hydrodynamic theory of quantum fluctuating superconductivity
journal, August 2016

  • Davison, Richard A.; Delacrétaz, Luca V.; Goutéraux, Blaise
  • Physical Review B, Vol. 94, Issue 5
  • DOI: 10.1103/PhysRevB.94.054502

Fractional quantum Hall effect and Chern-Simons gauge theories
journal, September 1991


Quantum Fluctuations in the Tunneling between Superconductors
journal, August 1982


Influence of Dissipation on Quantum Tunneling in Macroscopic Systems
journal, January 1981


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


Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
journal, March 1979


Superconducting, insulating and anomalous metallic regimes in a gated two-dimensional semiconductor–superconductor array
journal, August 2018


First-order melting of vortex lattice in strongly type-II three-dimensional superconductors
journal, December 1995


Quantum criticality in the two-dimensional dissipative quantum XY model
journal, December 2016


Gapless spin liquids: Stability and possible experimental relevance
journal, April 2013


Theory of dirty superconductors
journal, September 1959


Interaction Effects in Disordered Fermi Systems in Two Dimensions
journal, May 1980


Infinite-randomness quantum critical points induced by dissipation
journal, January 2009


Vanishing of phase coherence in underdoped Bi2Sr2CaCu2O8+δ
journal, March 1999

  • Corson, J.; Mallozzi, R.; Orenstein, J.
  • Nature, Vol. 398, Issue 6724
  • DOI: 10.1038/18402

Resistance in Superconductors
journal, August 2010

  • Halperin, Bertrand I.; Refael, Gil; Demler, Eugene
  • International Journal of Modern Physics B, Vol. 24, Issue 20n21
  • DOI: 10.1142/S021797921005644X

Infinite Randomness Fixed Point of the Superconductor-Metal Quantum Phase Transition
journal, July 2008


Critical behavior of random transverse-field Ising spin chains
journal, March 1995


Algebraic Spin Liquid in an Exactly Solvable Spin Model
journal, May 2009


Quantum superconductor-metal transition
journal, August 2001


Superconductivity in Bad Metals
journal, April 1995


Aharonov-Bohm oscillations with period hc /4 e and negative magnetoresistance in dirty superconductors
journal, May 1992


Composite fermions and the field-tuned superconductor-insulator transition
journal, May 2016


Crossover from phase fluctuation to amplitude-dominated superconductivity: A model system
journal, March 2001


Existence of a Bose metal at T = 0
journal, July 1999


New exact results for the Hall coefficient and magnetoresistance of inhomogeneous two-dimensional metals
journal, July 1984


Rounding by Disorder of First-Order Quantum Phase Transitions: Emergence of Quantum Critical Points
journal, January 2008


Effect of a nonzero temperature on quantum critical points in itinerant fermion systems
journal, September 1993


Approaching zero-temperature metallic states in mesoscopic superconductor–normal–superconductor arrays
journal, December 2011

  • Eley, Serena; Gopalakrishnan, Sarang; Goldbart, Paul M.
  • Nature Physics, Vol. 8, Issue 1
  • DOI: 10.1038/nphys2154

Metallic quantum critical points with finite BCS couplings
journal, November 2015


Phase diagram and correlation functions of the two-dimensional dissipative quantum XY model
journal, November 2016


Quantum Phase Slips and Superconductivity in Granular Films
journal, August 1986


Particle-vortex symmetric liquid
journal, January 2017


Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films
journal, December 2015

  • Breznay, Nicholas P.; Steiner, Myles A.; Kivelson, Steven Allan
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 2
  • DOI: 10.1073/pnas.1522435113

Dependence of T c on the normal-state resistivity in granular superconductors
journal, December 1981


Rounding of First-Order Phase Transitions in Systems with Quenched Disorder
journal, March 1990


Disordered Electronic Systems
journal, December 1988

  • Al'tshuler, Boris L.; Lee, Patrick A.
  • Physics Today, Vol. 41, Issue 12
  • DOI: 10.1063/1.881139

Microwave, Flux Flow, and Fluctuation Resistance of Dirty Type-II Superconductors
journal, September 1970


Effective-Field-Theory Model for the Fractional Quantum Hall Effect
journal, February 1989


Quantum Superconductor-Metal Transition in a Proximity Array
text, January 2001

  • Feigelman, M. V.; Larkin, A. I.; Skvortsov, M. A.
  • The American Physical Society
  • DOI: 10.17877/de290r-12610

Random-Field Mechanism in Random-Bond Multicritical Systems
journal, November 1989


Rounding by disorder of first-order quantum phase transitions: emergence of quantum critical points
text, January 2007


The approach to a superconductor-to-Bose-insulator transition in disordered films
text, January 2007


Infinite randomness fixed point of the superconductor-metal quantum phase transition
text, January 2008


Algebraic spin liquid in an exactly solvable spin model
text, January 2008


Collapse of superconductivity in a hybrid tin-graphene Josephson junction array
text, January 2014


Local Quantum Criticality in the Two-dimensional Dissipative Quantum XY Model
text, January 2014


Is the Composite Fermion a Dirac Particle?
text, January 2015


Metallic quantum critical points with finite BCS couplings
text, January 2015


Hydrodynamic theory of quantum fluctuating superconductivity
text, January 2016


Particle-vortex symmetric liquid
text, January 2016


Gate-induced superconductivity in a monolayer topological insulator
text, January 2018


Effects of dissipation on quantum phase transitions
text, January 2000


The Elusive Bose Metal
text, January 2003


No sliding in time
text, January 2005


Magnetically Induced Metallic Phase in Superconducting Tantalum Films
text, January 2006


The Superconductor-Insulator Transition in a Tunable Dissipative Environment
text, January 1997


Works referencing / citing this record:

Quantum Superconductor-Metal Transitions in the Presence of Quenched Disorder
journal, September 2019

  • Lewellyn, Nicholas A.; Percher, Ilana M.; Nelson, Jj
  • Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1
  • DOI: 10.1007/s10948-019-05250-1

Pairfield fluctuations of a 2D Hubbard model
journal, June 2019


Fragility of the dissipationless state in clean two-dimensional superconductors
journal, July 2019


Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
journal, October 2019


Superconducting phase transitions in disordered NbTiN films
journal, January 2020


Equilibrium formulae for transverse magnetotransport of strongly correlated metals
journal, March 2019


Fragile superconductivity in the presence of weakly disordered charge density waves
journal, April 2019


Tuning from failed superconductor to failed insulator with magnetic field
journal, June 2019


Intermediate bosonic metallic state in the superconductor-insulator transition
journal, November 2019


Magnetic field reveals vanishing Hall response in the normal state of stripe-ordered cuprates
journal, June 2021


Classical model for sub-Planckian thermal diffusivity in complex crystals
journal, May 2021


Tuning from failed superconductor to failed insulator with magnetic field
text, January 2018


Vortex phase diagram and the normal state of cuprates with charge and spin orders
text, January 2019


Universal behavior of the bosonic metallic ground state in a two-dimensional superconductor
text, January 2020