Anomalous mesoscopic kinetics in disordered superconductors

Abstract

We study anomalous mesoscopic transport effects at the onset of the superconducting transition focusing on the observed large Nernst-Ettinghausen signal in disordered thin films. In the vicinity of the transition, as the Ginzburg-Landau coherence length of preformed Cooper pairs diverges, short-range mesoscopic fluctuations are equivalent to local fluctuations of the critical temperature. As a result, the dynamical susceptibility function of pair propagation acquires a singular mesoscopic component, and consequently, superconducting correlations give rise to enhanced mesoscopic fluctuations of thermodynamic and transport characteristics. In contrast to disordered normal metals, the root-mean-square value of mesoscopic conductivity fluctuations ceases to be universal and displays strong dependence on dimensionality, temperature, and under certain conditions can exceed its quantum normal state value by a large factor. Interestingly, we find different universality as magnetic susceptibility, conductivity, and transverse magnetic thermopower coefficients all display the same temperature dependence. Finally, we discuss an enhancement of mesoscopic effects in the Seebeck thermoelectricity and Hall conductivity fluctuations as mediated by emergent superconductivity.

arXiv commentPublished version [9 pages]: modified title, extended Sec. III, updated references

References in corpus (62)

• Random-Matrix Theory of Quantum Transport
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• The Nernst effect in high-$T_c$ superconductors
• The onset of the vortex-like Nernst signal above Tc in La_{2-x}Sr_xCuO_4 and Bi_2Sr_{2-y}La_yCuO_6
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Gaussian superconducting fluctuations, thermal transport, and the Nernst effect
• Nernst effect in metals and superconductors: a review of concepts and experiments
• The high-field phase diagram of the cuprates derived from the Nernst effect
• Observation of the Nernst signal generated by fluctuating Cooper pairs
• Induced superconductivity distinguishes chaotic from integrable billiards
• Giant Nernst effect in a Kondo lattice close to a quantum critical point
• Disorder and Quantum Fluctuations in Superconducting Films in Strong Magnetic Fields
• Entropy of vortex cores on the border of the superconductor-to-insulator transition in an underdoped cuprate
• Universal gap fluctuations in the superconductor proximity effect
• Density of States below the Thouless Gap in a Mesoscopic SNS Junction
• Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
• Thermoelectricity of URu${}_2$Si${}_2$: giant Nernst effect in the hidden-order state
• Nanowire Acting as a Superconducting Quantum Interference Device
• Nernst effect and diamagnetism in phase fluctuating superconductors
• Nernst effect, quasiparticles, and d-density waves in cuprates
• Fluctuations of the superconducting order parameter as an origin of the Nernst effect
• Inelastic Scattering Time for Conductance Fluctuations
• Superconductivity in disordered thin films: giant mesoscopic fluctuations
• A length scale for the superconducting Nernst signal above T${}_c$ in Nb${}_{0.15}$Si${}_{0.85}$
• Coulomb drag in quantum circuits
• Gap Fluctuations in Inhomogeneous Superconductors
• Nernst effect in the electron-doped cuprate superconductor PCCO: Superconducting fluctuations, upper critical field Hc2, and the origin of the Tc dome
• The Nernst effect from fluctuating pairs in the pseudogap phase
• Nernst effect as a probe of superconducting fluctuations in disordered thin films
• Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect
• Mesoscopic fluctuations of the Coulomb drag
• Normal State Nernst Effect in Electron-doped Pr2-xCexCuO4: Superconducting Fluctuations and Two-band Transport
• Superconducting fluctuations and the Nernst effect: A diagrammatic approach
• Persistent current in small superconducting rings
• Field Theory of Mesoscopic Fluctuations in Superconductor/Normal-Metal Systems
• Anomalous thermopower and Nernst effect in $\mathrm{CeCoI}{\mathrm{n}}_5$: entropy-current loss in precursor state
• Fluctuation persistent current in small superconducting rings
• Quantum kinetic approach to the calculation of the Nernst effect
• Giant oscillations of energy levels in mesoscopic superconductors
• Local density of states and its mesoscopic fluctuations near the transition to a superconducting state in disordered systems
• Giant Nernst and Hall Effects in Chiral Superconductors due to Berry Phase Fluctuations
• Insensitivity to Time-Reversal Symmetry Breaking of Universal Conductance Fluctuations with Andreev Reflection
• Fluctuation spectroscopy of granularity in superconducting structures
• Theory of Tunneling Anomaly in Superconductor above Paramagnetic Limit
• Nernst Effect and Superconducting Fluctuations in Zn-doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Mesoscopic fluctuations of the supercurrent in diffusive Josephson junctions
• Strictly In-Plane Vortex-like Excitations in Pseudogap Region of Underdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$ Single Crystals
• Conductance fluctuations in mesoscopic normal-metal/superconductor samples
• Signatures of an Anomalous Nernst Effect in a Mesoscopic Two-Dimensional Electron System
• Transport theory of superconductors with singular interaction corrections
• Nernst effect and diamagnetic response in a stripe model of superconducting cuprates
• Anomalous Nernst effect and heat transport by vortex vacancies in granular superconductors
• Superconducting Proximity Effect and Universal Conductance Fluctuations
• Transverse thermoelectric transport in a model of many competing order parameters
• Goldstone modes and electromagnon fluctuations in the conical cycloid state of a multiferroic
• Quantum-fluctuation effects in transport properties of superconductors above the paramagnetic limit
• Anomalous mesoscopic fluctuations of transport coefficients above the critical temperature
• Universal Fluctuation of the Hall Conductance in the Random Magnetic Field
• Renormalization of the upper critical field by superconducting fluctuations
• Interface dependence of the Josephson-current fluctuations in short SNS junctions
• Critical States in Disordered Superconducting Films
• Normal persistent currents in proximity-effect bilayers

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