Lindemann criterion and vortex-matter phase transitions in high-temperature superconductors

Vinokur, V. M.; Khaykovich, Boris; Zeldov, E.; Kończykowski, M.; Doyle, R. A.; Kes, P.H.

doi:10.1016/s0921-4534(97)01795-4

Cited by 208 publications

(214 citation statements)

References 34 publications

Supporting

Mentioning

178

Contrasting

Unclassified

Order By: Relevance

“…As has already been mentioned above, only the intersection point of the melting and the order-disorder lines has a physical meaning rather than the end point of H dis (t). The temperature of this intersection point, t i , can be simply estimated using formulas (26) and (30). Then we arrive at the following equation for t i :…”

Section: B Approximate Formulas Discussionmentioning

confidence: 99%

“…24,26. Strictly speaking, the values of the constants C and c L may depend on whether the order-disorder transition occurs in the single vortex pinning region or in the region of bundle pinning.…”

Section: Lindemann Criterionmentioning

confidence: 99%

“…As has been mentioned above, the order-disorder line H dis (T ) was studied [24][25][26] inside the single-vortex pinning regime where the Larkin pinning length L c is less than L 0 = ǫa. Since L 0 > L c , formulas of the random manifold regime 27 for a single vortex are applicable to calculate the displacement correlation u(0, L 0 ),…”

Section: A Region Of Single Vortex Pinningmentioning

confidence: 99%

“…At higher temperatures the disorder was completely neglected in Refs. [24][25][26], and only the melting line of the ideal lattice was derived. Thus, the behavior of the order-disorder line was not actually investigated in the high tempera-ture region, and its connection with the melting line was not established.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

2001

View full text Add to dashboard Cite

We investigate the order-disorder transition line from a Bragg glass to an amorphous vortex glass in the H − T phase diagram of three-dimensional type-II superconductors taking into account both pinning-caused and thermal fluctuations of the vortex lattice. Our approach is based on the Lindemann criterion and on results of the collective pinning theory and generalizes previous work of other authors. It is shown that the shapes of the order-disorder transition line and the vortex lattice melting curve are determined only by the Ginzburg number, which characterizes thermal fluctuations, and by a parameter which describes the strength of the quenched disorder in the fluxline lattice. In the framework of this unified approach we obtain the H − T phase diagrams for both conventional and high-Tc superconductors. Several well-known experimental results concerning the fishtail effect and the phase diagram of high-Tc superconductors are naturally explained by assuming that a peak effect in the critical current density versus H signalizes the order-disorder transition line in superconductors with point defects.

show abstract

Section: B Approximate Formulas Discussionmentioning

confidence: 99%

Section: Lindemann Criterionmentioning

confidence: 99%

Section: A Region Of Single Vortex Pinningmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

2001

View full text Add to dashboard Cite

show abstract

“…Such a phase must be separated by a phase transition from the Brass glass phase. At large H, experiments [18] indicate a continuous transition from an equilibrium fluid phase into a highly disordered glassy state when the temperature T is reduced from the mean-field T c (H) [19,20]. This disordered low-T , large-H state may be a new thermodynamic phase, the "vortex glass" (VG) phase, separated from the equilibrium disordered liquid (DL) by a line of continuous phase transitions [6].…”

Section: Much Theoretical Attention Hasmentioning

confidence: 99%

Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal

Menon

2002

Phys. Rev. B

View full text Add to dashboard Cite

A general phenomenology for phase behaviour in the mixed phase of type-II superconductors with weak point pinning disorder is outlined. We propose that the "Bragg glass" phase generically transforms via two separate thermodynamic phase transitions into a disordered liquid on increasing the temperature. The first transition is into a glassy phase, topologically disordered at the largest length scales; current evidence suggests that it lacks the longranged phase correlations expected of a "vortex glass". This phase has a significant degree of short-ranged translational order, unlike the disordered liquid, but no quasi-long range order, in contrast to the Bragg glass. This glassy phase, which we call a "multi-domain glass", is confined to a narrow sliver at intermediate fields, but broadens out both for much larger and much smaller field values. The multi-domain glass may be a "hexatic glass"; alternatively, its glassy properties may originate in the replica symmetry breaking envisaged in recent theories of the structural glass transition. Estimates for translational correlation lengths in the multi-domain glass indicate that * Email:menon@imsc.ernet.in 1 they can be far larger than the interline spacing for weak disorder, suggesting a plausible mechanism by which signals of a two-step transition can be obscured. Calculations of the Bragg glass-multi-domain glass and the multidomain glass-disordered liquid phase boundaries are presented and compared to experimental data. We argue that these proposals provide a unified picture of the available experimental data on both high-T c and low-T c materials, simulations and current theoretical understanding.

show abstract

Influence of disorder on H _{c
2} ‐anisotropy and flux pinning in MgB ₂

Eisterer

2005

phys. stat. sol. (c)

View full text Add to dashboard Cite

The upper critical field and flux pinning in MgB 2 single crystals were investigated. The implications of these properties for technical applications are discussed and compared with transport properties of polycrystalline bulk samples and wires. In these untextured materials current percolation is important, especially at high magnetic fields. It is shown that the anisotropy of the upper critical field influences the "irreversibility line" and that the application range of MgB 2 is limited by the smallest upper critical field (i.e., for the field direction perpendicular to the boron planes). Disorder, introduced by irradiation with neutrons, enhances the upper critical field, reduces the anisotropy and drastically changes flux pinning. While the enhanced H c2 and the reduced anisotropy generally improve the transport properties of the polycrystalline samples, the contribution of the radiation-induced defects to flux pinning is small compared to the as-grown defect structure (grain boundary pinning).

show abstract

Lindemann criterion and vortex-matter phase transitions in high-temperature superconductors

Cited by 208 publications

References 34 publications

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal

Influence of disorder on H _{c
2} ‐anisotropy and flux pinning in MgB ₂

Contact Info

Product

Resources

About

Lindemann criterion and vortex-matter phase transitions in high-temperature superconductors

Cited by 208 publications

References 34 publications

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

Peak effect, vortex-lattice melting line, and order-disorder transition in conventional and high-Tcsuperconductors

Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal

Influence of disorder on H c 2 ‐anisotropy and flux pinning in MgB 2

Contact Info

Product

Resources

About

Influence of disorder on H _{c
2} ‐anisotropy and flux pinning in MgB ₂