skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Reviews of Modern Physics
 [1];  [2];  [3]
  1. Superconducting and Other Innovative Materials and Devices Inst. (CNR-SPIN), Rome (Italy)
  2. Univ. of Chicago, IL (United States). James Franck Inst.; Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division; Northern Illinois Univ., DeKalb, IL (United States). Dept. of Physics

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.

Research Organization:
Argonne National Laboratory (ANL), Argonne, IL (United States); Superconducting and Other Innovative Materials and Devices Inst. (CNR-SPIN), Rome (Italy)
Sponsoring Organization:
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)
Grant/Contract Number:
AC02-06CH11357; 644076; 2015C5SEJJ001
OSTI ID:
1433885
Alternate ID(s):
OSTI ID: 1429966
Journal Information:
Reviews of Modern Physics, Vol. 90, Issue 1; ISSN 0034-6861
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 36 works
Citation information provided by
Web of Science

References (215)

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
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
Quantum-fluctuation effects on the tunneling conductivity above the superconducting transition journal November 1993
Theory of Superconductivity journal December 1957
Effect of Fluctuations in the Superconducting Order Parameter on the Tunneling Density of States journal August 1969
Resistance Anomaly and Excess Voltage near Superconducting Interfaces journal November 1995
Multiband superconductivity and nanoscale inhomogeneity at oxide interfaces journal July 2013
Disorder and Quantum Fluctuations in Superconducting Films in Strong Magnetic Fields journal August 2001
Nernst effect from fluctuating pairs in the pseudogap phase of the cuprates journal January 2011
Nernst effect and anomalous transport in cuprates: A preformed-pair alternative to the vortex scenario journal February 2004
Negative Magnetoresistance of Granular Metals in a Strong Magnetic Field journal April 1999
Nernst effect in metals and superconductors: a review of concepts and experiments journal March 2016
Nernst Effect and Diamagnetism in Phase Fluctuating Superconductors journal September 2007
Electronic properties of YBa2Cu4O8 and Y2Ba4Cu7O15 as probed by NMR/NQR journal January 1995
Hall-effect of bulk YBa2Cu3O7−δ journal December 1988
Two-particle correlation functions in superconductors below the transition temperature journal January 1977
Superconducting phase transitions in ultrathin TiN films journal January 2012
Quantum fluctuations and dynamic clustering of fluctuating Cooper pairs journal May 2011
The onset of superconductivity in the time dependent Ginzburg-Landau theory journal August 1968
Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes journal October 2007
Gaussian Superconducting Fluctuations, Thermal Transport, and the Nernst Effect journal December 2002
Pseudogap in a thin film of a conventional superconductor journal December 2010
Superconducting Order-Parameter Fluctuations below T c journal October 1973
Fluctuation spectroscopy as a probe of granular superconducting diamond films journal September 2017
Vortex-dynamics approach to the Nernst effect in extreme type-II superconductors dominated by phase fluctuations journal November 2008
BCS–BEC crossover: From high temperature superconductors to ultracold superfluids journal June 2005
Microscopic Theory of Superconductivity journal April 1957
Superconducting fluctuations and Cu 63 NQR-NMR relaxation in Y Ba 2 Cu 3 O 7 δ : Effect of magnetic field and a test for the pairing-state symmetry journal October 1996
Pairing Mechanism in Fe-Based Superconductors journal March 2012
Anomalous peak in the thermopower of YBa 2 Cu 3 O 7 δ single crystals: A possible fluctuation effect journal January 1990
Effects of Superconducting Fluctuations on NMR Relaxation Rate journal February 1989
Anisotropic Superconductivity in Layer Compounds journal February 1973
Superconducting Fluctuations and the Pseudogap in the Slightly Overdoped High- T c Superconductor TlSr 2 CaCu 2 O 6.8 : High Magnetic Field NMR Studies journal July 2000
Pseudogap Precursor of the Superconducting Gap in Under- and Overdoped Bi 2 Sr 2 CaCu 2 O 8 + δ journal January 1998
Vortex-like excitations and the onset of superconducting phase fluctuation in underdoped La2-xSrxCuO4 journal August 2000
Localization of preformed Cooper pairs in disordered superconductors journal January 2011
Pair susceptibility and mode propagation in superconductors: A microscopic approach journal June 1981
Role of interelectron interaction in the pseudogap opening in high- T c tunneling experiments journal May 1999
Superconducting Fluctuation Effects on the Spin-Lattice Relaxation Rate in YBa 2 Cu 3 O 6.95 journal March 1999
Normal-state transport in electron-doped La 2 x Ce x Cu O 4 thin films in magnetic fields up to 40 Tesla journal May 2008
Pseudogap in Bi 2 Sr 2 CaCu 2 O 8 + δ Studied by Measuring Anisotropic Susceptibilities and Out-of-Plane Transport journal June 2000
Disorder-Induced Inhomogeneities of the Superconducting State Close to the Superconductor-Insulator Transition journal October 2008
Anisotropy of 63Cu knight shift and spin-lattice relaxation in YBa2Cu4O8 journal December 1991
High-temperature superconductivity in iron-based materials journal August 2010
Microwave, Flux Flow, and Fluctuation Resistance of Dirty Type-II Superconductors journal January 1970
Length scale for the superconducting Nernst signal above T c in Nb 0.15 Si 0.85 journal December 2007
Observation of pseudogap in Bi2Sr2CaCu2O8+δ single crystals with electron tunneling spectroscopy journal August 1997
Superconducting fluctuations at low temperature journal April 2001
Effect of Fluctuations on Electronic Properties above the Superconducting Transition journal January 1970
Colossal thermomagnetic response in the exotic superconductor URu2Si2 journal December 2014
Fluctuation-Induced Diamagnetism in Dirty Superconductors journal April 1973
High-resolution tunnel fluctuoscopy journal August 2014
Confinement of superconducting fluctuations due to emergent electronic inhomogeneities journal April 2016
Granular electronic systems journal April 2007
High Field Phase Diagram of Cuprates Derived from the Nernst Effect journal June 2002
Density of states and resistive transitions in the fluctuation regime above Tc journal October 1971
Precursor Effects of Superconductivity up to 35°K in Layered Compounds journal August 1971
Universal Jump in the Superfluid Density of Two-Dimensional Superfluids journal November 1977
Ideal resistive transition of a superconductor journal October 1967
Effect of superconducting fluctuations on the transverse resistance of high- T c superconductors journal April 1993
Fluctuation conductivity in intercalated superconductors journal January 1980
Many-Particle Physics book January 2000
Fluctuations near superconducting phase transitions journal September 1975
The influence of fluctuation pairing of electrons on the conductivity of normal metal journal February 1968
Superconductor‐Insulator Transitions in the Two‐Dimensional Limit journal November 1998
Fluctuations of the superconducting order parameter as an origin of the Nernst effect journal April 2009
Fluctuation conductivity in disordered superconducting films journal May 2012
Superconducting fluctuation effects on the thermoelectric coefficient above the transition temperature journal October 1994
Superconductivity in the insulating phase above the field-tuned superconductor–insulator transition in disordered indium oxide films journal May 2005
Pseudogap effects of Fermi gases in the presence of a strong effective magnetic field journal June 2013
Effect of fluctuations on the NMR relaxation beyond the Abrikosov vortex state journal August 2015
The Critical Fluctuation of the Order Parameter in Type-II Superconductors journal April 1968
Extended paraconductivity regime in underdoped cuprates journal September 2005
Weak-localization and Maki-Thompson superconducting fluctuation effects in crystalline disordered Ti-Al-(Sn,Co) alloys at T > T c journal July 1994
Anomalous flux-flow Hall effect: Nd 1.85 Ce 0.15 CuO 4 y and evidence for vortex dynamics journal January 1993
Paraconductivity in layered cuprates behaves as if due to pairing of nearly free quasiparticles journal January 2009
Dislocation-mediated melting in two dimensions journal March 1979
Gauge invariance and transport properties in superconductors above T c journal February 1995
Localization and interaction effects in two-dimensional W-Re films journal December 1983
Decrease of upper critical field with underdoping in cuprate superconductors journal August 2012
On the diamagnetic susceptibility of a superconductor above the transition temperature journal September 1969
Effect of a magnetic field on fluctuations above Tc journal October 1971
Fluctuations in the Hall conductivity and dynamics of the order parameter in YBa 2 Cu 3 O 7 δ superconductors journal January 1994
NMR and NQR fluctuation effects in layered superconductors journal January 2001
Magnetoconductance of thin-film superconductors near critical disorder journal February 1986
Critical fluctuations in high-temperature superconductors and the Ettingshausen effect journal October 1990
Theory of Two-Dimensional Melting journal July 1978
Superconducting fluctuations and anomalous diamagnetism in underdoped YBa 2 Cu 3 O 6 + x from magnetization and 63 Cu NMR-NQR relaxation measurements journal May 2000
Magnetic Field Independence of the Spin Gap in YBa 2 Cu 3 O 7 δ journal January 1999
Diamagnetismus der Metalle journal September 1930
Quantum corrections to the resistance in two-dimensional disordered superconductors above T c : Al, Sn, and amorphous Bi 0.9 Tl 0.1 films journal June 1984
Nernst effect and superconducting fluctuations in Zn-doped YBa 2 Cu 3 O 7 δ journal October 2005
Superconducting correlations above T c in the pseudogap state of Bi 2 Sr 2 CaCu 2 O 8 + δ cuprates revealed by angular-dependent magnetotunneling journal December 2016
Fluctuation Spectroscopy of Granularity in Superconducting Structures journal March 2008
Two-dimensional feature of the Nernst effect in normal state of underdoped La 2 − x Sr x CuO 4 single crystals journal August 2003
Gap symmetry and structure of Fe-based superconductors journal October 2011
Specific Heat of Superconducting Fine Particles of Tin. I. Fluctuations in Zero Magnetic Field journal February 1977
Fluctuation of the Order Parameter and Hall Effect journal October 1971
Magnetization currents of fluctuating Cooper pairs journal July 2015
Dispersions, weights, and widths of the single-particle spectral function in the normal phase of a Fermi gas journal January 2012
Pairing symmetry in cuprate superconductors journal October 2000
Temperature and doping dependence of the Bi 2.1 Sr 1.9 CaCu 2 O 8 + δ pseudogap and superconducting gap journal July 1999
Normal-state Nernst effect in electron-doped Pr 2 x Ce x Cu O 4 δ : Superconducting fluctuations and two-band transport journal November 2007
Interlayer magnetoresistance in the organic superconductor κ ( BEDT TTF ) 2 Cu [ N ( CN ) 2 ] Br near the superconducting transition journal July 1999
Superconductor-insulator transition and energy localization journal November 2010
Comparative analysis of tunneling magnetoresistance in low- T c Nb/Al-AlO x /Nb and high- T c Bi 2 y Pb y Sr 2 CaCu 2 O 8 + δ intrinsic Josephson junctions journal August 2011
Different length scales for order parameters in two-gap superconductors: Extended Ginzburg-Landau theory journal August 2011
Theory of dirty superconductors journal September 1959
Paraconductivity of MgB2 thin films journal September 2007
Superconductive fluctuations in the density of states and tunneling resistance in high- T c superconductors journal December 1990
Crossover between Aslamazov-Larkin and short-wavelength fluctuation regimes in high-temperature-superconductor conductivity experiments journal June 1997
Vortex motion and kosterlitz-thouless transition in superconducting single crystals Bi2Sr2CaCu2Ox journal July 1989
Fluctuation-Induced Diamagnetism above T c in Superconductors journal April 1973
Superconducting fluctuations and the Nernst effect: A diagrammatic approach journal July 2003
Hall effect in high temperature superconductors near Tc journal July 1989
Flux-flow Hall effect in YBa2Cu9O7 and Bi2Sr2CaCu2O8 high temperature superconductors journal September 1989
Hall-conductivity sign reversal and fluctuations in YBa 2 Cu 3 O 7 δ films journal May 1997
Effective medium theory for superconducting layers: A systematic analysis including space correlation effects journal July 2011
Superconducting phase transitions in indium/indium-oxide thin-film composites journal November 1983
Single- and two-particle energy gaps across the disorder-driven superconductor–insulator transition journal July 2011
Principles of Magnetic Resonance book January 1990
Zero-dimensional superconducting fluctuations and fluctuating diamagnetism in lead nanoparticles journal October 2006
The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides journal October 2010
Many-Particle Physics journal March 1982
Microwave, Flux Flow, and Fluctuation Resistance of Dirty Type-II Superconductors journal September 1970
Theory of Two-Dimensional Melting. journal August 1978
Giant Nernst Effect due to Fluctuating Cooper Pairs in Superconductors text January 2008
Quantum kinetic approach to the calculation of the Nernst effect text January 2009
Effective medium theory for superconducting layers: A systematic analysis including space correlation effects text January 2011
Superconducting phase transitions in ultrathin TiN films text January 2011
Observation of the ghost critical field for superconducting fluctuations in a disordered TaN thin film text January 2013
Colossal thermomagnetic response in the exotic superconductor URu2Si2 text January 2014
Magnetization Currents of Fluctuative Cooper Pairs text January 2015
Superconductivity in the insulating phase above the field-tuned superconductor-insulator transition in disordered indium oxide films text January 2004
Granular Electronic Systems text January 2006
Zero-Dimensional Superconducting Fluctuations and Fluctuating Diamagnetism in Lead Nanoparticles text January 2006
A length scale for the superconducting Nernst signal above T$_{c}$ in Nb$_{0.15}$Si$_{0.85}$ text January 2007

Cited By (4)

Observation of a superconducting glass state in granular superconducting diamond journal March 2019
Superconductivity Behavior in Epitaxial Ti N Films Points to Surface Magnetic Disorder journal November 2019
Effect of anomalous diffusion of fluctuating Cooper pairs on the density of states of superconducting NbN thin films journal November 2019
Tunneling and Fluctuating Electron-Hole Cooper Pairs in Double Bilayer Graphene text January 2019

Figures / Tables (53)


Similar Records

Field- and temperature-induced topological phase transitions in the three-dimensional N-component London superconductor
Journal Article · Wed Jun 01 00:00:00 EDT 2005 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1433885

Superconducting properties of amorphous MoX (X = Si, Ge) alloy films for Abrikosov vortex memory
Journal Article · Tue Mar 15 00:00:00 EST 1988 · J. Appl. Phys.; (United States) · OSTI ID:1433885

Effect of fluctuations on the NMR relaxation beyond the Abrikosov vortex state
Journal Article · Tue Aug 25 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1433885