Defect-induced melting of vortices in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>c</mml:mi></mml:msub></mml:mrow></mml:math>superconductors: A model based on continuum elasticity theory

Dietel, Jürgen; Kleinert, H.

doi:10.1103/physrevb.74.024515

Cited by 6 publications

(48 citation statements)

References 48 publications

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“…3. It is motivated by similar melting models for two-dimensional square [7] and triangular [8] crystals.…”

Section: Modelmentioning

confidence: 99%

“…Here a is the transverse distance of neighboring vortex lines, and a 3 the persistence length of the dislocation lines introduced in Ref. 3. Note that a 3 is assumed to be independent on the disorder potential in the average [32].…”

Section: Modelmentioning

confidence: 99%

“…Note that a 3 is assumed to be independent on the disorder potential in the average [32]. Its value is given by [3] …”

Section: Modelmentioning

confidence: 99%

“…Prominent examples of high-T c superconductors exhibiting a solid-liquid melting transition are the anisotropic compound YBa 2 Cu 3 O 7−δ (YBCO), and the strongly layered compound Bi 2 Sr 2 CaCu 2 O 8 (BSCCO). The position of the melting line in the H − T plane is mainly influenced by the anisotropy of the superconductor [3]. In YBCO with its low anisotropy, most of the melting line B m lies in the vicinity of the upper critical field H c2 , i.e.…”

Section: Introductionmentioning

confidence: 99%

“…It is the purpose of this paper to investigate the above phase transitions in the defect melting model mentioned earlier [3,7,8] used in Ref. 4 to calculate the phase diagram of YBCO.…”

Section: Introductionmentioning

confidence: 99%

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Phase diagram of vortices in high-Tcsuperconductors with a melting line in the deepHc2region

Dietel

Kleinert

2009

Phys. Rev. B

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We use a simple elastic Hamiltonian for the vortex lattice in a weak impurity background which includes defects in the form of integer-valued fields to calculate the free energy of a vortex lattice in the deep Hc2 region. The phase diagram in this regime is obtained by applying the variational approach of Mézard and Parisi developed for random manifolds. We find a first-order line between the Bragg-glass and vortex-glass phase as a continuation of the melting line. In the liquid phase, we obtain an almost vertical third-order glass transition line near the critical temperature in the H − T plane. Furthermore, we find an almost vertical second-order phase transition line in the Bragg-glass as well as the vortex-glass phases which crosses the first-order Bragg-glass, vortex-glass transition line. We calculate the jump of the temperature derivate of the induction field across this second-order line as well as the entropy and magnetic field jumps across the first-order line.

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“…3. It is motivated by similar melting models for two-dimensional square [7] and triangular [8] crystals.…”

Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

“…Note that a 3 is assumed to be independent on the disorder potential in the average [32]. Its value is given by [3] …”

Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…It is the purpose of this paper to investigate the above phase transitions in the defect melting model mentioned earlier [3,7,8] used in Ref. 4 to calculate the phase diagram of YBCO.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Phase diagram of vortices in high-Tcsuperconductors with a melting line in the deepHc2region

Dietel

Kleinert

2009

Phys. Rev. B

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Theory of vortex-lattice melting in a one-dimensional optical lattice

Snoek

Stoof

2006

Phys. Rev. A

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We investigate quantum and temperature fluctuations of a vortex lattice in a one-dimensional optical lattice. We discuss in particular the Bloch bands of the Tkachenko modes and calculate the correlation function of the vortex positions along the direction of the optical lattice. Because of the small number of particles in the pancake Bose-Einstein condensates at every site of the optical lattice, finite-size effects become very important. Moreover, the fluctuations in the vortex positions are inhomogeneous due to the inhomogeneous density. As a result, the melting of the lattice occurs from the outside inwards. However, tunneling between neighboring pancakes substantially reduces the inhomogeneity as well as the size of the fluctuations. On the other hand, nonzero temperatures increase the size of the fluctuations dramatically. We calculate the crossover temperature from quantum melting to classical melting. We also investigate melting in the presence of a quartic radial potential, where a liquid can form in the center instead of at the outer edge of the pancake Bose-Einstein condensates.

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Static structure factor and quantum melting of vortex lattices in two-dimensional Bose-Einstein condensates

Feng

2007

Phys. Rev. A

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Defect-induced melting of vortices in high-Tcsuperconductors: A model based on continuum elasticity theory

Cited by 6 publications

References 48 publications

Phase diagram of vortices in high-Tcsuperconductors with a melting line in the deepHc2region

Phase diagram of vortices in high-Tcsuperconductors with a melting line in the deepHc2region

Theory of vortex-lattice melting in a one-dimensional optical lattice

Static structure factor and quantum melting of vortex lattices in two-dimensional Bose-Einstein condensates

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