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

Crane, R.; Armitage, N. P.; Johansson, Andreas; Sambandamurthy, G.; Shahar, D.; Grüner, G.

doi:10.1103/physrevb.75.184530

Cited by 70 publications

(33 citation statements)

References 46 publications

(62 reference statements)

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“…Recent conductivity measurements at frequencies well within the superconducting gap (0-20 GHz) [15][16][17][18][19][20] have observed low-frequency features that cannot be accounted for by pair-breaking mechanisms. A theoretical understanding of the low-frequency dynamical conductivity is vital for understanding the role of fluctuations and for guiding future experiments that probe the SIT.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition

et al. 2014

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We calculate the dynamical conductivity σðωÞ and the bosonic (pair) spectral function PðωÞ from quantum Monte Carlo simulations across clean and disorder-driven superconductor-insulator transitions (SITs). We identify characteristic energy scales in the superconducting and insulating phases that vanish at the transition due to enhanced quantum fluctuations, despite the persistence of a robust fermionic gap across the SIT. Disorder leads to enhanced absorption in σðωÞ at low frequencies compared to the SIT in a clean system. Disorder also expands the quantum critical region, due to a change in the universality class, with an underlying T ¼ 0 critical point with a universal low-frequency conductivity σ Ã ≃ 0.5ð4e 2 =hÞ.

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Section: Introductionmentioning

confidence: 99%

Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition

et al. 2014

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“…Prominent examples include the superfluid-insulator transition in thin films [1][2][3], the transitions between various quantum Hall states [4,5], and magnetic ordering transitions of Mott insulators and superconductors which have applications to the cuprate compounds [6][7][8]. Of particular interest in this paper are the transport properties of conserved quantities such as the electrical charge or the total spin: these are characterized by a (charge or spin) conductivity σ, which can in general be a complicated function of frequency ω, wavevector k, temperature T , and various couplings characterizing the ground state.…”

Section: Introductionmentioning

confidence: 99%

Quantum critical transport, duality, and M theory

et al. 2007

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We consider charge transport properties of 2+1 dimensional conformal field theories at non-zero temperature. For theories with only Abelian U(1) charges, we describe the action of particle-vortex duality on the hydrodynamic-to-collisionless crossover function: this leads to powerful functional constraints for self-dual theories. For N =8 supersymmetric, SU(N ) Yang-Mills theory at the conformal fixed point, exact hydrodynamic-to-collisionless crossover functions of the SO(8) Rcurrents can be obtained in the large N limit by applying the AdS/CFT correspondence to Mtheory. In the gravity theory, fluctuating currents are mapped to fluctuating gauge fields in the background of a black hole in 3+1 dimensional anti-de Sitter space. The electromagnetic self-duality of the 3+1 dimensional theory implies that the correlators of the R-currents obey a functional constraint similar to that found from particle-vortex duality in 2+1 dimensional Abelian theories.Thus the 2+1 dimensional, superconformal Yang Mills theory obeys a "holographic self duality" in the large N limit, and perhaps more generally.

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“…which defines the masses m and δm, and separate the terms proportional to m and δm in (19). We find that π (q μ ) = 0 is equivalent to…”

Section: A D =mentioning

confidence: 93%

“…First, we shall verify that the poles always exist by substituting (23) into (19). After introducing…”

Section: A D =mentioning

confidence: 99%

“…This "precursor" picture indeed finds support in a number of experiments. [13][14][15][16][17][18][19] If so, a prominent physical description of such normal states, originating in duality, 20 is a liquid of quantum vortices and antivortices, whose free motion dynamically disorders the phase of the complex order parameter and thus preempts "Bose condensation" of such locally stable Cooper pairs.…”

Section: Introductionmentioning

confidence: 98%

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Cooper pair insulators and theory of correlated superconductors

Nikolić

Tešanović

2011

Phys. Rev. B

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The pseudogap state of cuprate high-temperature superconductors has been often viewed as either a yet unknown competing order or a precursor state to superconductivity. While awaiting the resolution of the pseudogap problem in cuprates, we demonstrate that local pairing fluctuations, vortex liquid dynamics, and other precursor phenomena can emerge quite generally whenever fermionic excitations remain gapped across the superconducting transition, regardless of the gap origin. Our choice of a tractable model is a lattice band insulator with short-range attractive interactions between fermions in the s-wave channel. An effective crossover between Bardeen-Cooper-Schrieffer (BCS) and Bose-Einstein condensate (BEC) regimes can be identified in any band insulator above two dimensions, while in two dimensions only the BEC regime exists. The superconducting transition is "unconventional" (non-pair-breaking) in the BEC regime, identified by either the bosonic mean field or XY universality class. The insulator adjacent to the superconductor in the BEC regime is a bosonic Mott insulator of Cooper pairs, which may be susceptible to charge density wave ordering. We construct a function of the many-body excitation spectrum whose nonanalytic changes define a sharp distinction between band and Mott insulators. The corresponding "second-order transition" can be observed out of equilibrium by driving a Cooper pair laser in the Mott insulator. We explicitly show that the gap for charged bosonic excitations lies below the threshold for Cooper pair breakup in any BEC regime, despite quantum fluctuations. Our discussion ends with a view of possible consequences for cuprates, where antinodal pair dynamics has certain features in common with our simple s-wave picture.

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

Cited by 70 publications

References 46 publications

Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition

Dynamical Conductivity across the Disorder-Tuned Superconductor-Insulator Transition

Quantum critical transport, duality, and M theory

Cooper pair insulators and theory of correlated superconductors

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