Magnetic-flux-lattice melting in a strong magnetic field

Hikami, Shinobu; Fujita, Atsuko; Larkin, A. I.

doi:10.1103/physrevb.44.10400

Cited by 76 publications

(64 citation statements)

References 18 publications

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“…Attempts to use BP for calculation of melting also ran into problems. Hikami, Fujita and Larkin (Brézin et al, 1990;Hikami et al, 1991) tried to find the melting point by comparing the BP energy with the one loop solid energy and obtained a T = −7. However their one loop solid energy was incorrect (by factor √ 2) and in any case it was not precise enough, since the two loop contribution is essential.…”

Section: Comparison With Other Resultsmentioning

confidence: 99%

Ginzburg-Landau theory of type II superconductors in magnetic field

2010

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Thermodynamics of type II superconductors in electromagnetic field based on the GinzburgLandau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the superconductor -normal phase transition line. The expansion allows a systematic improvement of the solution. The phase diagram of the vortex matter in magnetic field is determined in detail. In the presence of significant thermal fluctuations on the mesoscopic scale (for example in high Tc materials) the vortex crystal melts into a vortex liquid. A quantitative theory of thermal fluctuations using the lowest Landau level approximation is given. It allows to determine the melting line and discontinuities at melt, as well as important characteristics of the vortex liquid state. In the presence of quenched disorder (pinning) the vortex matter acquires certain "glassy" properties. The irreversibility line and static properties of the vortex glass state are studied using the "replica" method. Most of the analytical methods are introduced and presented in some detail. Various quantitative and qualitative features are compared to experiments in type II superconductors, although the use of a rather universal Ginzburg -Landau theory is not restricted to superconductivity and can be applied with certain adjustments to other physical systems, for example rotating Bose -Einstein condensate.

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Section: Comparison With Other Resultsmentioning

confidence: 99%

Ginzburg-Landau theory of type II superconductors in magnetic field

2010

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“…The coefficients c n can be found in [25].The consecutive approximants are plotted on Fig.4 as dashed lines (T 1 to T 9, T 0 being equivalent to the Gaussian mean field). One clearly sees that the series are asymptotic and can be used only at a T > −2.…”

Section: Borel -Pade Methods Applied To the Lll Model Melting Linmentioning

confidence: 99%

“…Subsequent attempts to use BP for the calculation of the melting line using longer series also ran into problems. Hikami, Fujita and Larkin [25] tried to find the melting point by comparing the BP energy with the one loop solid energy and obtained a T = −7. However their one loop solid energy was incorrect and, in any case, it was not precise enough (as will become clear below the two loop contribution cannot be neglected).…”

Section: Introduction and The Main Ideamentioning

confidence: 99%

Supercooled vortex liquid and quantitative theory of melting of the flux-line lattice in type-II superconductors

Rosenstein

2004

Phys. Rev. B

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A metastable homogeneous state exists down to zero temperature in systems of repelling objects. Zero "fluctuation temperature" liquid state therefore serves as a (pseudo) "fixed point" controlling the properties of vortex liquid below and even around melting point. There exists Madelung constant for the liquid in the limit of zero temperature which is higher than that of the solid by an amount approximately equal to the latent heat of melting. This picture is supported by an exactly solvable large N Ginzburg -Landau model in magnetic field. Based on this understanding we apply Borel -Pade resummation technique to develop a theory of the vortex liquid in type II superconductors. Applicability of the effective lowest Landau level model is discussed and corrections due to higher levels is calculated. Combined with previous quantitative description of the vortex solid the melting line is located. Magnetization, entropy and specific heat jumps along it are calculated. The magnetization of liquid is larger than that of solid by 1.8% irrespective of the melting temperature. We compare the result with experiments on high T c cuprates Y Ba 2 Cu 3 O 7 , DyBCO, low T c material (K, Ba)BiO 3 and with Monte Carlo simulations.

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“…The coefficients can be found in ref. [24,25]. We will denote g k (x) by the [k, k − 1] BP transform of g(x) (other BP approximants clearly violate the correct low temperature asymptotics).…”

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confidence: 99%

Melting of the vortex lattice in high−Tcsuperconductors

Rosenstein

2002

Phys. Rev. B

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Magnetic-flux-lattice melting in a strong magnetic field

Cited by 76 publications

References 18 publications

Ginzburg-Landau theory of type II superconductors in magnetic field

Ginzburg-Landau theory of type II superconductors in magnetic field

Supercooled vortex liquid and quantitative theory of melting of the flux-line lattice in type-II superconductors

Melting of the vortex lattice in high−Tcsuperconductors

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