Melting of the Nanocrystalline Vortex Matter in Highly Anisotropic High-Temperature Superconductors

Goldschmidt, Yadin Y.; Cuansing, Eduardo C.

doi:10.1103/physrevlett.95.177004

Cited by 10 publications

(11 citation statements)

References 21 publications

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“…Indeed, the low-field scenario evidences that the delocalization (or depinning) line, separates the homogeneous VL phase from an inhomogeneous one in which nanodroplets of vortex liquid are caged in the pores of a solid skeleton formed by vortices pinned on columnar defects (porous vortex matter). It is also verified that all pertinent lines merge to the low-field pristine melting line B 0 m (T ), which ends at B 0 m (T c ) = 0 This scenario is also consistent with analytical 73 and appropriate numerical modeling 74 . The above features are very important in the context of identifying the nature of phases in the B − T phase diagram of BSCCO, as discussed for clean samples 36 in the second paragraph of this section, and extended in Ref.…”

Section: Introductionsupporting

confidence: 83%

Monte Carlo simulation of the crossover from Bose glass to Bragg glass phase in layered BSCCO with columnar defects

Queiroz¹,

Coutinho‐Filho²

2017

J. Stat. Mech.

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Monte Carlo simulations of layered BSCCO samples are used to investigate the behavior of vortex matter at low fields, particularly in connection with the possible occurrence of a Bragg glass (BrG) phase at low density of columnar defects, a phenomenon characterized by the prevalence of short-range over long-range order. In this dislocation-free topological phase the translational order correlation function displays a power law decay. For magnetic induction B = 0.1 kG the analysis of the data for the first Bragg peak of the planar structure factor, the hexatic order parameter, and the Delaunay triangulation shows that, as the density of columnar defects is lowered, a crossover (or transition) from Bose glass to BrG phase takes place in this highly anisotropic high-Tc superconductor. Most importantly, an analysis of the low-temperature 3D vortex-vortex correlation function in terms of the structure factor, calculated via a saddle point approach and the use of the numerical data as input, provides clear-cut evidence of the power law decay of the divergent Bragg peaks in the BrG phase, a fundamental feature that was inequivocally verified only in isotropic compounds.

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Section: Introductionsupporting

confidence: 83%

Monte Carlo simulation of the crossover from Bose glass to Bragg glass phase in layered BSCCO with columnar defects

Queiroz¹,

Coutinho‐Filho²

2017

J. Stat. Mech.

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“…In order to understand these observations, we have carried out molecular dynamics simulations of a rectangular parallelepiped model system of 36 PV stacks and 200 layers. As shown in [9,20], such a system size is sufficient for observing the various phase transitions. Periodic boundary conditions (PBC) were implemented in all directions.…”

mentioning

confidence: 99%

“…For details, see Refs. [9,21]. We also included the attractive Josephson interaction between pairs of pancakes in adjacent planes, but belonging to the same stack [21].…”

mentioning

confidence: 99%

“…The average vortex direction (i.e., H a ) was kept parallel to the z axis, while tilted CDs of radius r r 30 nm were introduced at random positions. The interaction between a pancake and a CD in the same plane is given by an attractive potential [9,11], which has a long range tail contribution ÿ 0 dr 2 r =R 2 , due mainly to the electromagnetic pinning, and a short range flat region of depth 0 d due to the combined effects of electromagnetic and core pinning. Here, 0 0 =4 2 , 0=1 ÿ T=T c 1=2 is the penetration depth, R is the distance between a pancake and a CD, and d is the layer separation.…”

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confidence: 99%

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Dynamic and Thermodynamic Properties of Porous Vortex Matter inBi2Sr2CaCu2O8in an Oblique Magnetic Field

et al. 2007

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Vortex matter in Bi(2)Sr(2)CaCu(2)O(8) with a low concentration of tilted columnar defects (CDs) was studied using magneto-optical measurements and molecular dynamics simulations. It is found that while the dynamic properties are significantly affected by tilting the magnetic field away from the CDs, the thermodynamic transitions are angle independent. The simulations indicate that vortex pancakes remain localized on the CDs even at large tilting angles. This preserves the vortex thermodynamics, while vortex pinning is considerably weakened due to kink sliding.

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“…Recently one of us published a short paper 21 reporting on multilevel Monte Carlo simulations of the vortex matter in the highly anisotropic high-temperature superconductor BSCCO. We introduced low concentration of columnar defects satisfying B φ ≤ B.…”

Section: Introductionmentioning

confidence: 99%

Langevin Dynamics of the vortex matter two-stage melting transition in Bi_2Sr_2CaCu_2O$_{8+δ}$ in the presence of straight and of tilted columnar defects

Goldschmidt,

Liu

2007

Preprint

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In this paper we use London Langevin molecular dynamics simulations to investigate the vortex matter melting transition in the highly anisotropic high-temperature superconductor material Bi2Sr2CaCu2O 8+δ in the presence of low concentration of columnar defects (CDs). We reproduce with further details our previous results obtained by using Multilevel Monte Carlo simulations that showed that the melting of the nanocrystalline vortex matter occurs in two stages: a first stage melting into nanoliquid vortex matter and a second stage delocalization transition into a homogeneous liquid. Furthermore, we report on new dynamical measurements in the presence of a current that identifies clearly the irreversibility line and the second stage delocalization transition. In addition to CDs aligned along the c-axis we also simulate the case of tilted CDs which are aligned at an angle with respect to the applied magnetic field. Results for CDs tilted by 45 • with respect to c-axis show that the locations of the melting and delocalization transitions are not affected by the tilt when the ratio of flux lines to CDs remains constant. On the other hand we argue that some dynamical properties and in particular the position of the irreversibility line should be affected.

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Melting of the Nanocrystalline Vortex Matter in Highly Anisotropic High-Temperature Superconductors

Cited by 10 publications

References 21 publications

Monte Carlo simulation of the crossover from Bose glass to Bragg glass phase in layered BSCCO with columnar defects

Monte Carlo simulation of the crossover from Bose glass to Bragg glass phase in layered BSCCO with columnar defects

Dynamic and Thermodynamic Properties of Porous Vortex Matter inBi2Sr2CaCu2O8in an Oblique Magnetic Field

Langevin Dynamics of the vortex matter two-stage melting transition in Bi_2Sr_2CaCu_2O$_{8+δ}$ in the presence of straight and of tilted columnar defects

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