Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters

Varlamov, A. A.; Galda, A.; Glatz, A.

doi:10.1103/RevModPhys.90.015009

Title: Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters

Abstract

Superconducting (SC) fluctuations, discovered in the late 1960s, have constituted an important research area in superconductivity as they are manifest in a variety of phenomena. Indeed, the underlying physics of SC fluctuations makes it possible to elucidate the fundamental properties of the superconducting state. The interest in SC fluctuation phenomena was further enhanced with the discovery of cuprate high-temperature superconductors (HTSs). In these materials, superconducting fluctuations appear over a wide range of temperatures due to the superconductors extremely short coherence lengths and low effective dimensionality of the electron systems. These strong fluctuations lead to anomalous properties of the normal state in some HTS materials. Within the framework of the phenomenological Ginzburg-Landau theory, and more extensively in the diagrammatic microscopic approach based on BCS theory, SC fluctuations as well as other quantum contributions (weak localization, etc.) enabled a new way to investigate and characterize disordered electron systems, granular metals, Josephson structures, artificial superlattices, and others. The characteristic feature of SC fluctuations is its strong dependence on temperature and magnetic field in the vicinity of the superconducting phase transition. This dependence allows the separation of fluctuation effects from other contributions and provides information about the microscopic parameters of a material, in particular,more »« less

Authors:

Varlamov, A. A. ^[1]; Galda, A. ^[2]; Glatz, A. ^[3]

Superconducting and Other Innovative Materials and Devices Inst. (CNR-SPIN), Rome (Italy)
Univ. of Chicago, IL (United States). James Franck Inst.; Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Northern Illinois Univ., DeKalb, IL (United States). Dept. of Physics

Publication Date:: Tue Mar 27 00:00:00 EDT 2018

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States); Superconducting and Other Innovative Materials and Devices Inst. (CNR-SPIN), Rome (Italy)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES); European Commission (EC); Ministry of Education, Universities and Research (MIUR) (Italy)

OSTI Identifier:: 1433885

Alternate Identifier(s):: OSTI ID: 1429966

Grant/Contract Number:: AC02-06CH11357; 644076; 2015C5SEJJ001

Resource Type:: Accepted Manuscript

Journal Name:: Reviews of Modern Physics

Additional Journal Information:: Journal Volume: 90; 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; superconducting fluctuations; superconductivity; superconductors; methods in superconductivity

Citation Formats


                    Varlamov, A. A., Galda, A., and Glatz, A. Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters.  United States: N. p., 2018. 
Web.  doi:10.1103/RevModPhys.90.015009.

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                    Varlamov, A. A., Galda, A., & Glatz, A. Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters.  United States.  https://doi.org/10.1103/RevModPhys.90.015009

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                    Varlamov, A. A., Galda, A., and Glatz, A. Tue .  
"Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters".  United States.  https://doi.org/10.1103/RevModPhys.90.015009.  https://www.osti.gov/servlets/purl/1433885.

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@article{osti_1433885,

  title        = {Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters},

  author       = {Varlamov, A. A. and Galda, A. and Glatz, A.},

  abstractNote = {Superconducting (SC) fluctuations, discovered in the late 1960s, have constituted an important research area in superconductivity as they are manifest in a variety of phenomena. Indeed, the underlying physics of SC fluctuations makes it possible to elucidate the fundamental properties of the superconducting state. The interest in SC fluctuation phenomena was further enhanced with the discovery of cuprate high-temperature superconductors (HTSs). In these materials, superconducting fluctuations appear over a wide range of temperatures due to the superconductors extremely short coherence lengths and low effective dimensionality of the electron systems. These strong fluctuations lead to anomalous properties of the normal state in some HTS materials. Within the framework of the phenomenological Ginzburg-Landau theory, and more extensively in the diagrammatic microscopic approach based on BCS theory, SC fluctuations as well as other quantum contributions (weak localization, etc.) enabled a new way to investigate and characterize disordered electron systems, granular metals, Josephson structures, artificial superlattices, and others. The characteristic feature of SC fluctuations is its strong dependence on temperature and magnetic field in the vicinity of the superconducting phase transition. This dependence allows the separation of fluctuation effects from other contributions and provides information about the microscopic parameters of a material, in particular, the critical temperature and the zero-temperature critical magnetic field. As such, SC fluctuations are very sensitive to the relaxation processes that break phase coherence and can be used as a versatile characterization instrument for SCs: Fluctuation spectroscopy has emerged as a powerful tool for studying the properties of superconducting systems on a quantitative level. Here the physics of SC fluctuations is reviewed, commencing from a qualitative description of thermodynamic fluctuations close to the critical temperature and quantum fluctuations at zero temperature in the vicinity of the second critical field. The analysis of the latter allows us to present fluctuation formation as a fragmentation of the Abrikosov lattice. Finally, this review highlights a series of experimental findings followed by microscopic description and numerical analysis of the effects of fluctuations on numerous properties of superconductors in the entire phase diagram and beyond the superconducting phase.},

  doi          = {10.1103/RevModPhys.90.015009},

  journal      = {Reviews of Modern Physics},

  number       = 1,

  volume       = 90,

  place        = {United States},

  year         = {Tue Mar 27 00:00:00 EDT 2018},

  month        = {Tue Mar 27 00:00:00 EDT 2018}

}

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Hall effect in high temperature superconductors near Tc
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Iye, Yasuhiro; Nakamura, Shigeru; Tamegai, Tsuyoshi
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Hall-conductivity sign reversal and fluctuations in ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$ films
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Physical Review B, Vol. 55, Issue 17
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Effective medium theory for superconducting layers: A systematic analysis including space correlation effects
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Caprara, S.; Grilli, M.; Benfatto, L.
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The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides
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Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
text, January 2008

Serbyn, M. N.; Skvortsov, M. A.; Varlamov, A. A.
arXiv
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Quantum kinetic approach to the calculation of the Nernst effect
text, January 2009

Michaeli, Karen; Finkel'stein, Alexander M.
arXiv
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Effective medium theory for superconducting layers: A systematic analysis including space correlation effects
text, January 2011

Caprara, S.; Grilli, M.; Benfatto, L.
arXiv
DOI: 10.48550/arxiv.1104.3430

Superconducting phase transitions in ultrathin TiN films
text, January 2011

Baturina, T. I.; Postolova, S. V.; Mironov, A. Yu.
arXiv
DOI: 10.48550/arxiv.1109.5270

Observation of the ghost critical field for superconducting fluctuations in a disordered TaN thin film
text, January 2013

Breznay, Nicholas P.; Kapitulnik, Aharon
arXiv
DOI: 10.48550/arxiv.1303.0466

Colossal thermomagnetic response in the exotic superconductor URu2Si2
text, January 2014

Yamashita, T.; Shimoyama, Y.; Haga, Y.
arXiv
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Magnetization Currents of Fluctuative Cooper Pairs
text, January 2015

Kavokin, Alexey V.; Varlamov, Andrey A.
arXiv
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Superconductivity in the insulating phase above the field-tuned superconductor-insulator transition in disordered indium oxide films
text, January 2004

Steiner, Myles; Kapitulnik, Aharon
arXiv
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Granular Electronic Systems
text, January 2006

Beloborodov, I. S.; Efetov, K. B.; Lopatin, A. V.
arXiv
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Zero-Dimensional Superconducting Fluctuations and Fluctuating Diamagnetism in Lead Nanoparticles
text, January 2006

Bernardi, E.; Lascialfari, A.; Rigamonti, A.
arXiv
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A length scale for the superconducting Nernst signal above T$_{c}$ in Nb$_{0.15}$Si$_{0.85}$
text, January 2007

Pourret, A.; Aubin, H.; Lesueur, J.
arXiv
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Works referencing / citing this record:

Observation of a superconducting glass state in granular superconducting diamond
journal, March 2019

Klemencic, G. M.; Fellows, J. M.; Werrell, J. M.
Scientific Reports, Vol. 9, Issue 1
DOI: 10.1038/s41598-019-40306-1

Superconductivity Behavior in Epitaxial $Ti N$ Films Points to Surface Magnetic Disorder
journal, November 2019

Saveskul, N. A.; Titova, N. A.; Baeva, E. M.
Physical Review Applied, Vol. 12, Issue 5
DOI: 10.1103/physrevapplied.12.054001

Effect of anomalous diffusion of fluctuating Cooper pairs on the density of states of superconducting NbN thin films
journal, November 2019

Brighi, Pietro; Grilli, Marco; Leridon, Brigitte
Physical Review B, Vol. 100, Issue 17
DOI: 10.1103/physrevb.100.174518

Tunneling and Fluctuating Electron-Hole Cooper Pairs in Double Bilayer Graphene
text, January 2019

Efimkin, Dmitry K.; Burg, G. William; Tutuc, Emanuel
arXiv
DOI: 10.48550/arxiv.1903.07739

Figures / Tables found in this record:

TABLE I: Part 1 (p. 3)

TABLE I: Part 2 (p. 4)

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Title: Fluctuation spectroscopy: From Rayleigh-Jeans waves to Abrikosov vortex clusters

Abstract

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Figures / Tables:

Inhomogeneity effects on the magnetoresistance and the ghost critical field above T c in thin mixture films of In-Ge journal, February 1985

Effect of superconducting fluctuations on spin susceptibility and NMR relaxation rate journal, October 1994

Emergent granularity and pseudogap near the superconductor-insulator transition journal, July 2012

On the low-energy excitations in superconducting YNi 2 B 2 C from B 11 NMR relaxation around the critical field journal, June 2005

Sign reversal of the Hall resistivity in amorphous Mo 3 Si journal, May 1994

Anomalous negative magnetoresistance in κ-(BEDT-TTF)2Cu(SCN)2 journal, March 1993

Interlayer vortex coupling and the Hall sign reversal in MoGe/Ge multilayers journal, May 1994

Fluctuation-Enhanced Diamagnetism in Superconductors above the Transition Temperature journal, February 1972

Strong compensation of the quantum fluctuation corrections in a clean superconductor journal, October 2000

Effects of strong magnetic fields on pairing fluctuations in high-temperature superconductors journal, May 1999

Bardeen-Cooper-Schrieffer Theory of Superconductivity in the Case of Overlapping Bands journal, December 1959

Nernst, Seebeck, and Hall effects in the mixed state of YBa 2 Cu 3 O 7 − δ and Bi 2 Sr 2 CaCu 2 O 8 + x thin films: A comparative study journal, August 1994

Double-crossover behavior of fluctuation conductivity for multilayered superconducting films journal, October 1991

Temperature and Purity Dependence of the Superconducting Critical Field, H c 2 . II journal, July 1966

Why Magnesium Diboride Is Not Described by Anisotropic Ginzburg-Landau Theory journal, March 2004

Nernst effect in the electron-doped cuprate superconductor Pr 2 − x Ce x CuO 4 : Superconducting fluctuations, upper critical field H c 2 , and the origin of the T c dome journal, July 2014

Hall Effect in Lead Films near the Superconducting Transition Temperature journal, February 1979

Magnetoresistance of granular superconducting metals in a strong magnetic field journal, April 2000

Basic aspects and main results of NMR-NQR spectroscopies in high-temperature superconductors journal, October 1998

Nature of spectral gaps due to pair formation in superconductors journal, December 2009

Quantum kinetic approach to the calculation of the Nernst effect journal, December 2009

Magnetic field dependence of the superconducting fluctuation contribution to NMR-NQR relaxation journal, July 2000

Critical fluctuation effects near the normal-metal–superconductor phase transition at low temperatures journal, April 2001

Effect of fluctuations on the transport properties of type-II superconductors in a magnetic field journal, July 1991

Inelastic electron scattering mechanisms in clean aluminum films journal, March 1984

Reply to "Comment on `Anisotropic thermopower in the ab plane of an untwinned Y Ba 2 Cu 3 O 7 − δ crystal' " journal, June 1993

Nernst-Ettingshausen effect in two-component electronic liquids journal, May 2009

Diamagnetic Susceptibility at the Transition to the Superconducting State journal, April 1969

Specific Heat of Superconducting Fine Particles of Tin. II. Fluctuations under Magnetic Field, Critical Field and Transition Temperature journal, August 1977

Flux-line dynamics in YBa 2 Cu 4 O 8 from Y 89 NMR journal, October 1996

Divergent phase-breaking rate in aluminum films from magnetoconductance measurements journal, May 1984

Onset of the vortexlike Nernst signal above T c in La 2 − x Sr x CuO 4 and Bi 2 Sr 2 − y La y CuO 6 journal, November 2001

Superconducting fluctuation effects on the local electronic spin susceptibility. II. The impure case journal, July 1977

Superfluid Precursor Effects in a Model of Hybridized Bosons and Fermions journal, May 1995

Possibility of Vortex-Antivortex Pair Dissociation in Two-Dimensional Superconductors journal, April 1979

Hall effect in superconducting films journal, July 2012

HALL EFFECT IN SUPERCONDUCTORS ABOVE T c journal, July 1992

Hall conductivity dominated by fluctuations near the superconducting transition in disordered thin films journal, July 2012

Pseudogap and spectral function from superconducting fluctuations to the bosonic limit journal, July 2002

Anomalous Hall effect in superconductors near their critical temperatures journal, June 1990

Superconducting fluctuations in Bi 2 Sr 2 Ca 2 Cu 3 O x thin films: Paraconductivity, excess Hall effect, and magnetoconductivity journal, April 1995

Nernst effect in high- T c superconductors journal, January 2006

Superconductivity in a system with preformed pairs journal, February 1997

Investigation of Fluctuating Diamagnetism and Spin Dynamics in SmFeAsO<sub>1-x</sub>F<sub>x</sub> Superconductors journal, October 2010

Magnetoresistance Measurement of the Electron Inelastic Scattering Time in Two-Dimensional Al Films in the Presence of Superconducting Fluctuations journal, January 1983

Fluctuation conductivity of layered superconductors in a perpendicular magnetic field journal, November 1993

A common thread: The pairing interaction for unconventional superconductors journal, October 2012

Hall Anomaly in the Superconducting State of High- T c Cuprates: Universality in Doping Dependence journal, April 1998

Importance of phase fluctuations in superconductors with small superfluid density journal, March 1995

On the Interpretation of the Nernst Effect Measurements in the Cuprates journal, October 2004

Drastic Change in Transport of Entropy with Quadrupolar Ordering in PrFe 4 P 12 journal, May 2006

Electron inelastic scattering in aluminum films and wires at temperatures near the superconducting transition journal, August 1986

Theory of fluctuations in a two-band superconductor: MgB 2 journal, August 2005

Two-gap model for underdoped cuprate superconductors journal, October 2000

Anisotropic Resistivities of Precisely Oxygen Controlled Single-Crystal Bi 2 Sr 2 CaCu 2 O 8 + δ : Systematic Study on ``Spin Gap'' Effect journal, September 1997

Effects of superconducting fluctuations on the NMR relaxation rateT 1 ?1 of two-dimensional systems aboveT c journal, December 1992

Entropy of Vortex Cores Near the Superconductor-Insulator Transition in an Underdoped Cuprate journal, January 2002

Pseudogap in YBa 2 Cu 3 O 7 − δ from NMR in high magnetic fields journal, June 2002

Pair Tunneling as a Probe of Fluctuations in Superconductors journal, May 1970

Der Diamagnetismus von freien Elektronen journal, May 1931

Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors journal, February 2009

Matsubara-Green's function approach to tunnelling in mesoscopic junctions journal, October 1997

Interlayer magnetotransport in κ-(BEDT-TTF)2X superconductors journal, June 1999

Observation of the Nernst signal generated by fluctuating Cooper pairs journal, September 2006

Effects of proximity to an electronic topological transition on normal-state transport properties of the high − T c superconductors journal, April 2003

Fluctuation spectroscopy of disordered two-dimensional superconductors journal, September 2011

Resistive transition in superconducting films journal, September 1979

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

Anisotropic fluctuations and quasiparticle excitations in FeSe 0.5 Te 0.5 journal, September 2010

Superconductivity in iron compounds journal, December 2011

Hall-conductivity sign change and fluctuations in amorphous Nb x Ge 1 − x films journal, June 2001

Paraconductivity of underdoped La 2 − x Sr x Cu O 4 thin-film superconductors using high magnetic fields journal, July 2007

Responses of the pseudogap and d -wave superconductivity to high magnetic fields in the underdoped high- T c superconductor YBa 2 Cu 4 O 8 : An NMR study journal, October 1999

Transition from metallic to tunneling regimes in superconducting microconstrictions: Excess current, charge imbalance, and supercurrent conversion journal, April 1982

Two-band superconductor magnesium diboride journal, November 2008

Suppression of 2D superconductivity by the magnetic field: Quantum corrections vs. The superconductor-insulator transition journal, April 2003

Inhomogeneity effects on the magnetoresistance and the ghost critical field above T _c in thin mixture films of In-Ge
journal, February 1985

Effect of superconducting fluctuations on spin susceptibility and NMR relaxation rate
journal, October 1994

Emergent granularity and pseudogap near the superconductor-insulator transition
journal, July 2012

On the low-energy excitations in superconducting ${YNi}_{2} B_{2} C$ from ${}^{11}B$ NMR relaxation around the critical field
journal, June 2005

Sign reversal of the Hall resistivity in amorphous ${Mo}_{3}$ Si
journal, May 1994

Anomalous negative magnetoresistance in κ-(BEDT-TTF)2Cu(SCN)2
journal, March 1993

Interlayer vortex coupling and the Hall sign reversal in MoGe/Ge multilayers
journal, May 1994

Fluctuation-Enhanced Diamagnetism in Superconductors above the Transition Temperature
journal, February 1972

Strong compensation of the quantum fluctuation corrections in a clean superconductor
journal, October 2000

Effects of strong magnetic fields on pairing fluctuations in high-temperature superconductors
journal, May 1999

Bardeen-Cooper-Schrieffer Theory of Superconductivity in the Case of Overlapping Bands
journal, December 1959

Nernst, Seebeck, and Hall effects in the mixed state of ${YBa}_{2}$ ${Cu}_{3}$ $O_{7 - δ}$ and ${Bi}_{2}$ ${Sr}_{2}$ ${CaCu}_{2}$ $O_{8 + x}$ thin films: A comparative study
journal, August 1994

Double-crossover behavior of fluctuation conductivity for multilayered superconducting films
journal, October 1991

Temperature and Purity Dependence of the Superconducting Critical Field, $H_{c 2}$ . II
journal, July 1966

Why Magnesium Diboride Is Not Described by Anisotropic Ginzburg-Landau Theory
journal, March 2004

Nernst effect in the electron-doped cuprate superconductor $\Pr_{2 - x} {Ce}_{x} {CuO}_{4}$ : Superconducting fluctuations, upper critical field $H_{c 2}$ , and the origin of the $T_{c}$ dome
journal, July 2014

Hall Effect in Lead Films near the Superconducting Transition Temperature
journal, February 1979

Magnetoresistance of granular superconducting metals in a strong magnetic field
journal, April 2000

Basic aspects and main results of NMR-NQR spectroscopies in high-temperature superconductors
journal, October 1998

Nature of spectral gaps due to pair formation in superconductors
journal, December 2009

Quantum kinetic approach to the calculation of the Nernst effect
journal, December 2009

Magnetic field dependence of the superconducting fluctuation contribution to NMR-NQR relaxation
journal, July 2000

Critical fluctuation effects near the normal-metal–superconductor phase transition at low temperatures
journal, April 2001

Effect of fluctuations on the transport properties of type-II superconductors in a magnetic field
journal, July 1991

Inelastic electron scattering mechanisms in clean aluminum films
journal, March 1984

Reply to "Comment on `Anisotropic thermopower in the $ab$ plane of an untwinned $Y {Ba}_{2} {Cu}_{3} O_{7 - δ}$ crystal' "
journal, June 1993

Nernst-Ettingshausen effect in two-component electronic liquids
journal, May 2009

Diamagnetic Susceptibility at the Transition to the Superconducting State
journal, April 1969

Specific Heat of Superconducting Fine Particles of Tin. II. Fluctuations under Magnetic Field, Critical Field and Transition Temperature
journal, August 1977

Flux-line dynamics in ${YBa}_{2}$ ${Cu}_{4}$ $O_{8}$ from ${}^{89}Y$ NMR
journal, October 1996

Divergent phase-breaking rate in aluminum films from magnetoconductance measurements
journal, May 1984

Onset of the vortexlike Nernst signal above $T_{c}$ in ${La}_{2 - x} {Sr}_{x} {CuO}_{4}$ and ${Bi}_{2} {Sr}_{2 - y} {La}_{y} {CuO}_{6}$
journal, November 2001

Superconducting fluctuation effects on the local electronic spin susceptibility. II. The impure case
journal, July 1977

Superfluid Precursor Effects in a Model of Hybridized Bosons and Fermions
journal, May 1995

Possibility of Vortex-Antivortex Pair Dissociation in Two-Dimensional Superconductors
journal, April 1979

Hall effect in superconducting films
journal, July 2012

HALL EFFECT IN SUPERCONDUCTORS ABOVE T _c
journal, July 1992

Hall conductivity dominated by fluctuations near the superconducting transition in disordered thin films
journal, July 2012

Pseudogap and spectral function from superconducting fluctuations to the bosonic limit
journal, July 2002

Anomalous Hall effect in superconductors near their critical temperatures
journal, June 1990

Superconducting fluctuations in ${Bi}_{2}$ ${Sr}_{2}$ ${Ca}_{2}$ ${Cu}_{3}$ $O_{x}$ thin films: Paraconductivity, excess Hall effect, and magnetoconductivity
journal, April 1995

Nernst effect in high- $T_{c}$ superconductors
journal, January 2006

Superconductivity in a system with preformed pairs
journal, February 1997

Investigation of Fluctuating Diamagnetism and Spin Dynamics in SmFeAsO<sub>1-x</sub>F<sub>x</sub> Superconductors
journal, October 2010

Magnetoresistance Measurement of the Electron Inelastic Scattering Time in Two-Dimensional Al Films in the Presence of Superconducting Fluctuations
journal, January 1983

Fluctuation conductivity of layered superconductors in a perpendicular magnetic field
journal, November 1993

A common thread: The pairing interaction for unconventional superconductors
journal, October 2012

Hall Anomaly in the Superconducting State of High- $T_{c}$ Cuprates: Universality in Doping Dependence
journal, April 1998

Importance of phase fluctuations in superconductors with small superfluid density
journal, March 1995

On the Interpretation of the Nernst Effect Measurements in the Cuprates
journal, October 2004

Drastic Change in Transport of Entropy with Quadrupolar Ordering in ${PrFe}_{4} P_{12}$
journal, May 2006

Electron inelastic scattering in aluminum films and wires at temperatures near the superconducting transition
journal, August 1986

Theory of fluctuations in a two-band superconductor: ${MgB}_{2}$
journal, August 2005

Two-gap model for underdoped cuprate superconductors
journal, October 2000

Anisotropic Resistivities of Precisely Oxygen Controlled Single-Crystal ${Bi}_{2} {Sr}_{2} {CaCu}_{2} O_{8 + δ}$ : Systematic Study on ``Spin Gap'' Effect
journal, September 1997

Effects of superconducting fluctuations on the NMR relaxation rateT 1 ?1 of two-dimensional systems aboveT c
journal, December 1992

Entropy of Vortex Cores Near the Superconductor-Insulator Transition in an Underdoped Cuprate
journal, January 2002

Pseudogap in ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ from NMR in high magnetic fields
journal, June 2002

Pair Tunneling as a Probe of Fluctuations in Superconductors
journal, May 1970

Der Diamagnetismus von freien Elektronen
journal, May 1931

Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors
journal, February 2009

Matsubara-Green's function approach to tunnelling in mesoscopic junctions
journal, October 1997

Interlayer magnetotransport in κ-(BEDT-TTF)2X superconductors
journal, June 1999

Observation of the Nernst signal generated by fluctuating Cooper pairs
journal, September 2006

Effects of proximity to an electronic topological transition on normal-state transport properties of the $high {- T}_{c}$ superconductors
journal, April 2003

Fluctuation spectroscopy of disordered two-dimensional superconductors
journal, September 2011

Resistive transition in superconducting films
journal, September 1979

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

Anisotropic fluctuations and quasiparticle excitations in ${FeSe}_{0.5} {Te}_{0.5}$
journal, September 2010

Superconductivity in iron compounds
journal, December 2011

Hall-conductivity sign change and fluctuations in amorphous ${Nb}_{x} {Ge}_{1 - x}$ films
journal, June 2001

Paraconductivity of underdoped ${La}_{2 - x} {Sr}_{x} Cu O_{4}$ thin-film superconductors using high magnetic fields
journal, July 2007

Responses of the pseudogap and d -wave superconductivity to high magnetic fields in the underdoped high- $T_{c}$ superconductor ${YBa}_{2} {Cu}_{4} O_{8}$ : An NMR study
journal, October 1999

Transition from metallic to tunneling regimes in superconducting microconstrictions: Excess current, charge imbalance, and supercurrent conversion
journal, April 1982

Two-band superconductor magnesium diboride
journal, November 2008

Suppression of 2D superconductivity by the magnetic field: Quantum corrections vs. The superconductor-insulator transition
journal, April 2003

Cuprate diamagnetism in the presence of a pseudogap: Beyond the standard fluctuation formalism
journal, February 2018

Fluctuations in two-band superconductors in strong magnetic field
journal, October 2014

Dynamical fluctuation of the order parameter and diamagnetism of superconductors. I. Dirty limit
journal, September 1971

Fluctuation conductivity of layered high- $T_{c}$ superconductors: A theoretical analysis of recent experiments
journal, November 1991