Vortex lattice in type II superconductors under magnetic field in the presence of inhomogeneities

B. Rosenstein; B. Ya Shapiro; V. Zhuravlev

doi:10.1016/j.physc.2007.11.091

Vortex lattice in type II superconductors under magnetic field in the presence of inhomogeneities

B. Rosenstein, B. Ya Shapiro, V. Zhuravlev

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate the structure, elastic and dynamical properties of the vortex matter in the presence of artificially created or intrinsic gradients of the critical temperature in the framework of the Ginzburg-Landau theory. The region of parameters in which vortex cores are not well separated is treated perturbatively in 1 - H_c2 (T) / H_c2 (0). Critical current for periodic pinning potential is obtained and general expressions for elastic moduli at long wavelength are derived. We show that it is impossible to restrict the system to lowest Landau level. We use it to provide a theory of the discontinuous peak effect in critical current which appears near H_c2 (T) line in low T_c strongly type II superconductors. Influence of thermal fluctuations is also considered and we find softening of the shear modulus in the vicinity of vortex lattice melting line.

Original language	English
Pages (from-to)	621-626
Number of pages	6
Journal	Physica C: Superconductivity and its Applications
Volume	468
Issue number	7-10
DOIs	https://doi.org/10.1016/j.physc.2007.11.091
State	Published - 1 Apr 2008

Bibliographical note

Funding Information:
It is a pleasure to thank V. Vinokur, E. Zeldov, E. Andrei, E. Sonin, P. Kes, B. Shapiro, D.P. Li, N. Kokubo, T. Maniv for discussions and sharing unpublished data with us. We are especially grateful to E.H. Brandt for numerous illuminating discussions during his two visits. The work is supported by NSC of R.O.C. No. 952112M009048 and the MOE ATU Program.

Keywords

Peak effect
Shear modulus
Vortex matter

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10.1016/j.physc.2007.11.091

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title = "Vortex lattice in type II superconductors under magnetic field in the presence of inhomogeneities",

abstract = "We investigate the structure, elastic and dynamical properties of the vortex matter in the presence of artificially created or intrinsic gradients of the critical temperature in the framework of the Ginzburg-Landau theory. The region of parameters in which vortex cores are not well separated is treated perturbatively in 1 - Hc2 (T) / Hc2 (0). Critical current for periodic pinning potential is obtained and general expressions for elastic moduli at long wavelength are derived. We show that it is impossible to restrict the system to lowest Landau level. We use it to provide a theory of the discontinuous peak effect in critical current which appears near Hc2 (T) line in low Tc strongly type II superconductors. Influence of thermal fluctuations is also considered and we find softening of the shear modulus in the vicinity of vortex lattice melting line.",

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AU - Zhuravlev, V.

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PY - 2008/4/1

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N2 - We investigate the structure, elastic and dynamical properties of the vortex matter in the presence of artificially created or intrinsic gradients of the critical temperature in the framework of the Ginzburg-Landau theory. The region of parameters in which vortex cores are not well separated is treated perturbatively in 1 - Hc2 (T) / Hc2 (0). Critical current for periodic pinning potential is obtained and general expressions for elastic moduli at long wavelength are derived. We show that it is impossible to restrict the system to lowest Landau level. We use it to provide a theory of the discontinuous peak effect in critical current which appears near Hc2 (T) line in low Tc strongly type II superconductors. Influence of thermal fluctuations is also considered and we find softening of the shear modulus in the vicinity of vortex lattice melting line.

AB - We investigate the structure, elastic and dynamical properties of the vortex matter in the presence of artificially created or intrinsic gradients of the critical temperature in the framework of the Ginzburg-Landau theory. The region of parameters in which vortex cores are not well separated is treated perturbatively in 1 - Hc2 (T) / Hc2 (0). Critical current for periodic pinning potential is obtained and general expressions for elastic moduli at long wavelength are derived. We show that it is impossible to restrict the system to lowest Landau level. We use it to provide a theory of the discontinuous peak effect in critical current which appears near Hc2 (T) line in low Tc strongly type II superconductors. Influence of thermal fluctuations is also considered and we find softening of the shear modulus in the vicinity of vortex lattice melting line.

KW - Peak effect

KW - Shear modulus

KW - Vortex matter

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IS - 7-10

ER -

Vortex lattice in type II superconductors under magnetic field in the presence of inhomogeneities

Abstract

Bibliographical note

Keywords

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