Effect of two length scales on the properties of MgB(2) for arbitrary applied magnetic field.

Journal of physics. Condensed matter : an Institute of Physics journal · 2010 · Unclear · Insufficient evidence

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UnclearInsufficient evidencePaper 3302

Study snapshot

PublicationJournal of physics. Condensed matter : an Institute of Physics journal · 2010

Study typeother

Reported directionUnclear

Evidence ratingInsufficient

Abstract

Experiments carried out on the intermetallic superconducting material MgB(2) have shown anomalous magnetic field dependence of upper critical field, small angle neutron scattering form factor, specific heat, critical current etc. Similarly, scanning tunnelling microscopy (STM) experiments on vortex structures have shown unusually large vortex core size and two different magnetic and spatial field scales. Also, whereas the specific heat measurements and isotope shift experiments have shown Bardeen-Cooper-Schrieffer-like (BCS-like) behaviour, the temperature dependences of the penetration depth experiments have shown non-BCS-like behaviour. These anomalous behaviours have been attributed to the multiband superconductivity of this material and the nature of the local spatial behaviour of the magnetic induction and the order parameter components having two length scales. We report an analytical investigation of the effect of two length scales on the temperature and the applied magnetic field dependence of several properties of MgB(2), such as, the penetration depth, single vortex and vortex lattice structure, vortex core radius, reversible magnetization, critical current, small angle neutron scattering form factor and the shear modulus of the vortex lattice within the framework of two-order parameter Ginzburg-Landau theory. We solve the corresponding nonlinear Ginzburg-Landau equations numerically exactly using an iterative method for arbitrary applied field H(c1) < H < H(c2), the Ginzburg-Landau parameter and vortex lattice symmetry. This enables us to compute the local spatial behaviour of the magnetic induction and the order parameters accurately for arbitrary applied field and a wide range of temperature. Comparison of the analytical results with experiments on MgB(2) gives very good agreement.

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Study typeother

Effect directionunclear

PopulationNot supplied

Sample sizeNot supplied

ExposureNot supplied

Evidence strengthInsufficientConfidence: 74% · Peer reviewed: yes

Main findings

Analytical and numerical solutions within a two-order-parameter Ginzburg–Landau framework indicate that having two length scales affects the temperature and applied magnetic field dependence of multiple MgB(2) superconducting properties (e.g., penetration depth, vortex structure, magnetization, critical current, SANS form factor). The reported results are stated to be in very good agreement with experiments on MgB(2).

Outcomes measured

penetration depth
single vortex structure
vortex lattice structure
vortex core radius
reversible magnetization
critical current
small angle neutron scattering (SANS) form factor
shear modulus of the vortex lattice
upper critical field (context)
specific heat (context)

View raw extracted JSON

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  "outcomes": [
    "penetration depth",
    "single vortex structure",
    "vortex lattice structure",
    "vortex core radius",
    "reversible magnetization",
    "critical current",
    "small angle neutron scattering (SANS) form factor",
    "shear modulus of the vortex lattice",
    "upper critical field (context)",
    "specific heat (context)"
  ],
  "main_findings": "Analytical and numerical solutions within a two-order-parameter Ginzburg–Landau framework indicate that having two length scales affects the temperature and applied magnetic field dependence of multiple MgB(2) superconducting properties (e.g., penetration depth, vortex structure, magnetization, critical current, SANS form factor). The reported results are stated to be in very good agreement with experiments on MgB(2).",
  "effect_direction": "unclear",
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  "confidence": 0.74,
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  "keywords": [
    "MgB2",
    "multiband superconductivity",
    "two length scales",
    "two-order parameter Ginzburg-Landau theory",
    "vortex lattice",
    "penetration depth",
    "critical current",
    "reversible magnetization",
    "small angle neutron scattering",
    "upper critical field"
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}

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Identifiers and source

DOI: 10.1088/0953-8984/22/20/205701
PubMed: 21393710

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