Pseudogap state in superconductors: Extended Hartree approach to time-dependent Ginzburg-Landau theory

We calculate the possible interaction between a superconductor and the static Earth’s gravitational fields, making use of the gravito-Maxwell formalism combined with the time-dependent Ginzburg–Landau theory. We try to estimate which are the most favorable conditions to enhance the effect, optimizing the superconductor parameters characterizing the chosen sample. We also give a qualitative comparison of the behavior of high–Tc and classical low–Tc superconductors with respect to the gravity/superfluid interplay.

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Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover

Advances in Mathematical Physics ◽

10.1155/2014/215672 ◽

2014 ◽

Vol 2014 ◽

pp. 1-11 ◽

Cited By ~ 1

Author(s):

Shuhong Chen ◽

Zhong Tan

Keyword(s):

Global Existence ◽

Strong Solution ◽

Sobolev Spaces ◽

Landau Theory ◽

Strong Solutions ◽

Time Dependent ◽

Solution Theory ◽

Ginzburg Landau ◽

Spatial Dimensions

We establish strong solution theory of time-dependent Ginzburg-Landau (TDGL) systems on BCS-BEC crossover. By the properties of Besov, Sobolev spaces, and Fourier functions and the method of bootstrapping argument, we deduce that the global existence of strong solutions to time-dependent Ginzburg-Landau systems on BCS-BEC crossover in various spatial dimensions.

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Dynamics of vortex–antivortex creation and annihilation in current-driven mesoscopic superconducting squares

Modern Physics Letters B ◽

10.1142/s0217984915502474 ◽

2015 ◽

Vol 29 (35n36) ◽

pp. 1550247

Author(s):

Xiao-Meng Liang ◽

Guo-Qiao Zha

Keyword(s):

Magnetic Field ◽

External Magnetic Field ◽

Landau Theory ◽

Symmetric Case ◽

Time Dependent ◽

Dynamical Process ◽

Applied Bias ◽

Ginzburg Landau ◽

Dc Drive ◽

Vortex Velocity

In this paper, based on the time-dependent Ginzburg–Landau theory, we study the dynamics of vortex–antivortex (V–Av) pairs in a mesoscopic superconducting square with a small hole under applied bias currents. For the sample with a centered hole, a V–Av pair can nucleate at the hole edges and moves in opposite directions perpendicular to applied constant DC drive. The influence of the external magnetic field on the (anti)vortex velocity and the lifetime of V–Av pairs is mainly investigated. Different modes in the dynamical process of the V–Av collision and annihilation are identified. Moreover, in the case when the hole is displaced from the center of the square, the V–Av dynamics behaves quite differently from the symmetric case due to the shift of the V–Av creation point.

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Time-dependent Ginzburg-Landau theory for a weak-coupling superconductor

Physical Review B ◽

10.1103/physrevb.47.7979 ◽

1993 ◽

Vol 47 (13) ◽

pp. 7979-7985 ◽

Cited By ~ 24

Author(s):

H. T. C. Stoof

Keyword(s):

Weak Coupling ◽

Landau Theory ◽

Time Dependent ◽

Ginzburg Landau

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Multi-mode excitation drives disorder during the ultrafast melting of a C4-symmetry-broken phase

Nature Communications ◽

10.1038/s41467-021-27819-y ◽

2022 ◽

Vol 13 (1) ◽

Author(s):

Daniel Perez-Salinas ◽

Allan S. Johnson ◽

Dharmalingam Prabhakaran ◽

Simon Wall

Keyword(s):

Phase Transitions ◽

Order Parameter ◽

Landau Theory ◽

Mean Field ◽

Atomic Scale ◽

Time Dependent ◽

Ginzburg Landau ◽

Mode Excitation ◽

The Mean ◽

Multi Mode

AbstractSpontaneous C4-symmetry breaking phases are ubiquitous in layered quantum materials, and often compete with other phases such as superconductivity. Preferential suppression of the symmetry broken phases by light has been used to explain non-equilibrium light induced superconductivity, metallicity, and the creation of metastable states. Key to understanding how these phases emerge is understanding how C4 symmetry is restored. A leading approach is based on time-dependent Ginzburg-Landau theory, which explains the coherence response seen in many systems. However, we show that, for the case of the single layered manganite La0.5Sr1.5MnO4, the theory fails. Instead, we find an ultrafast inhomogeneous disordering transition in which the mean-field order parameter no longer reflects the atomic-scale state of the system. Our results suggest that disorder may be common to light-induced phase transitions, and methods beyond the mean-field are necessary for understanding and manipulating photoinduced phases.

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Effect of Higher Landau Levels on the Transverse Thermoelectric Conductivity in High-\(T_{c}\) Superconductors

Communications in Physics ◽

10.15625/0868-3166/26/3/8778 ◽

2017 ◽

Vol 26 (3) ◽

pp. 279

Author(s):

Bui Duc Tinh

Keyword(s):

Gaussian Approximation ◽

Landau Theory ◽

Landau Levels ◽

Time Dependent ◽

Dimensional Model ◽

Ginzburg Landau ◽

High Tc ◽

High Tc Superconductor ◽

Self Consistent ◽

Good Agreement

We investigate effect of higher Ladau levels on the transverse thermoelectricconductivity \(\alpha_{xy}\), describing the Nernst effect in high-\(T_c\) superconductors, by using the time-dependent Ginzburg-Landau theory in two dimensional model withthermal noise. The transverse thermoelectric conductivity is calculated inthe self-consistent Gaussian approximation. Our results indicate that thehigher Landau levels are, the less these levels contribute to the transversethermoelectric conductivity. Our results are in good agreement with experimental dataon high-Tc superconductor.

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Quantum fluctuations in the time-dependent BCS–BEC crossover

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2008.0082 ◽

2008 ◽

Vol 366 (1877) ◽

pp. 2813-2820 ◽

Cited By ~ 3

Author(s):

B.M Breid ◽

J.R Anglin

Keyword(s):

Landau Theory ◽

Einstein Condensate ◽

Time Dependent ◽

Integral Approach ◽

Saddle Point Approximation ◽

Ginzburg Landau ◽

Bose Einstein Condensate ◽

Fermionic Atoms ◽

Molecular Fields ◽

Bose Einstein

We describe the time-dependent formation of a molecular Bose–Einstein condensate from a BCS state of fermionic atoms as a result of slow sweeping through a Feshbach resonance. We apply a path integral approach for the molecules, and use two-body adiabatic approximations to solve the atomic evolution in the presence of the classical molecular fields, obtaining an effective action for the molecules. In the narrow resonance limit, the problem becomes semiclassical, and we discuss the growth of the molecular condensate in the saddle point approximation. Considering this time-dependent process as an analogue of the cosmological Zurek scenario, we compare the way condensate growth is driven in this rigorous theory with its phenomenological description via time-dependent Ginzburg–Landau theory.

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The Time-dependent Ginzburg-Landau Theory

Theory of Nonequilibrium Superconductivity ◽

10.1093/acprof:oso/9780198507888.003.11 ◽

2001 ◽

pp. 213-228

Author(s):

Nikolai B. Kopnin

Keyword(s):

Landau Theory ◽

Time Dependent ◽

Ginzburg Landau

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TRANSPORT PHENOMENA IN THE MIXED STATE AND FLUCTUATION REGIME IN (Bi1.6Pb0.4)Sr2Ca1-xHox(Cu1-yZny)2O8+d

Modern Physics Letters B ◽

10.1142/s0217984901002725 ◽

2001 ◽

Vol 15 (21) ◽

pp. 929-934

Author(s):

G. ILONCA ◽

A. V. POP ◽

R. STIUFIUC ◽

G. STIUFIUC ◽

C. LUNG ◽

...

Keyword(s):

Magnetic Field ◽

Mixed State ◽

Landau Theory ◽

Hole Concentration ◽

Transport Coefficients ◽

Time Dependent ◽

Ginzburg Landau ◽

Metallic Behavior ◽

Fluctuation Effects ◽

Longitudinal Resistivity

Measurements of the magnetoresistivity, Seebeck, Nernst and Hall coefficients in Bi:2212 superconductors doped with Ho and Zn are reported. The critical temperature and the transport coefficients depend strongly on the Ho and Zn contents. The tails of the transport coefficients versus temperature curves are caused by fluctuation effects, which increase with increasing magnetic field. An anomalous suppression of superconductivity at x = 0.25–0.35 and y = 0.025–0.032 was also found when the hole concentration per Cu is P H = 1/8 and the transport properties exhibit metallic behavior. It was found that dB c2 /dT = -2.4 ± 0.2 T/K , corresponding to a Ginzburg–Landau coherence length ξ = 15 Å. The Hall resistivity ρxy scaling with the longitudinal resistivity ρxx as [Formula: see text] with α ≈ 1.8 is in agreement with the theory of Vinokur et al. The experimental data in the mixed state are in agreement with the prediction of the time-dependent Ginzburg–Landau theory.

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