Infinite Randomness Fixed Point of the Superconductor-Metal Quantum Phase Transition

Maestro, Adrian Del; Rosenow, Bernd; Müller, Markus; Sachdev, Subir

doi:10.1103/physrevlett.101.035701

Cited by 37 publications

(54 citation statements)

References 30 publications

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“…Advances in fabricating ultra-narrow superconducting nanowires has greatly boosted the interest in studying phase slippage in quasi-one-dimensional superconductors 2 . There has been an intense activity to establish the existence of quantum phase slips (QPS) related to macroscopic quantum tunneling (MQT) [3][4][5][6][7][8][9][10][11] and to study quantum phase transitions between possibly superconducting, metallic and insulating phases in nanowires 4,[12][13][14][15][16][17] . A dissipation-controlled quantum phase transition [18][19][20][21][22][23][24][25] has been predicted in junctions of superconducting nanowires.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of superconducting nanowires shunted with an external resistor

et al. 2012

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We present the first study of superconducting nanowires shunted with an external resistor, geared towards understanding and controlling coherence and dissipation in nanowires. The dynamics is probed by measuring the evolution of the V -I characteristics and the distributions of switching and retrapping currents upon varying the shunt resistor and temperature. Theoretical analysis of the experiments indicates that as the value of the shunt resistance is decreased, the dynamics turns more coherent presumably due to stabilization of phase-slip centers in the wire and furthermore the switching current approaches the Bardeen's prediction for equilibrium depairing current. By a detailed comparison between theory and experiment, we make headway into identifying regimes in which the quasi-one-dimensional wire can effectively be described by a zero-dimensional circuit model analogous to the RCSJ (resistively and capacitively shunted Josephson junction) model of Stewart and McCumber. Besides its fundamental significance, our study has implications for a range of promising technological applications.

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Section: Introductionmentioning

confidence: 99%

Dynamics of superconducting nanowires shunted with an external resistor

et al. 2012

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“…Even better performance could be obtained by combining our matrix inversion scheme with the solve-join-patch algorithm [15] for convergence acceleration.…”

Section: Discussionmentioning

confidence: 99%

“…[15] were L = 128. The authors analyzed equal time correlations, energy gap statistics and dynamical susceptibilities and found them in agreement with the strong-disorder renormalization group predictions [21,22].…”

Section: Existing Numerical Approachmentioning

confidence: 95%

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Numerical method for disordered quantum phase transitions in the large‐N limit

Nozadze

Vojta

2013

Physica Status Solidi (b)

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We develop an efficient numerical method to study the quantum critical behavior of disordered systems with O(N ) order-parameter symmetry in the large−N limit. It is based on the iterative solution of the large−N saddle-point equations combined with a fast algorithm for inverting the arising large sparse random matrices. As an example, we consider the superconductor-metal quantum phase transition in disordered nanowires. We study the behavior of various observables near the quantum phase transition. Our results agree with recent renormalization group predictions, i.e., the transition is governed by an infinite-randomness critical point, accompanied by quantum Griffiths singularities. In contrast to the existing numerical approach to this problem, our method gives direct access to the temperature dependencies of observables. Moreover, our algorithm is highly efficient because the numerical effort for each iteration scales linearly with the system size. This allows us to study larger systems, with up to 1024 sites, than previous methods. We also discuss generalizations to higher dimensions and other systems including the itinerant antiferromagnetic transitions in disordered metals.Copyright line will be provided by the publisher 1 Introduction Randomness can have much more dramatic effects at quantum phase transitions than at classical phase transitions because quenched disorder is perfectly correlated in the imaginary time direction which needs to be included at quantum phase transitions. Imaginary time acts as an additional coordinate with infinite extension at absolute zero temperature. Therefore, the impurities and defects are effectively very large which leads to strong-disorder phenomena including power-law quantum Griffiths singularities [1,2,3], infinite-randomness critical points characterized by exponential scaling [4,5], and smeared phase transitions [6]. For example, the zero-temperature quantum phase transition in the random transverse-field Ising model is governed by an infiniterandomness critical point [5] featuring slow activated (exponential) rather than power-law dynamical scaling. It is accompanied by quantum Griffiths singularities. This means, observables are expected to be singular not just at criticality but in a whole parameter region near the quan-

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“…Interplay between superconductivity and Anderson localization in a strongly disordered superconductor was shown [21][22][23][24][25][26][27][28][29][30] to result in spatial inhomogeneity of the order parameter. Diffusive scattering of particles in the random field of non-magnetic impurities enhances Coulomb repulsion 31,32 , and consequently, reduces the amplitude of the order parameter.…”

Section: Introductionmentioning

confidence: 99%

Disorder-driven superconductor–normal metal phase transition in quasi-one-dimensional organic conductors

Nakhmedov

Oppermann

2010

Phys. Rev. B

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Effects of non-magnetic disorder on the critical temperature Tc and on diamagnetism of quasione-dimensional superconductors are reported. The energy of Josephson-coupling between wires is considered to be random, which is typical for dirty organic superconductors. We show that this randomness destroys phase coherence between wires and that Tc vanishes discontinuously at a critical disorder-strength. The parallel and transverse components of the penetration-depth are evaluated. They diverge at different critical temperatures T (1) c and Tc, which correspond to pairbreaking and phase-coherence breaking respectively. The interplay between disorder and quantum phase fluctuations is shown to result in quantum critical behavior at T = 0, which manifests itself as a superconducting-normal metal phase transition of first-order at a critical disorder strength.

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Infinite Randomness Fixed Point of the Superconductor-Metal Quantum Phase Transition

Cited by 37 publications

References 30 publications

Dynamics of superconducting nanowires shunted with an external resistor

Dynamics of superconducting nanowires shunted with an external resistor

Numerical method for disordered quantum phase transitions in the large‐N limit

Disorder-driven superconductor–normal metal phase transition in quasi-one-dimensional organic conductors

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