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Keener, C. D.; Trawick, Matthew L.; Ammirata, S. M.; Hebboul, S. E.; Garland, J. C.

doi:10.1103/physrevlett.78.1118

Cited by 52 publications

(20 citation statements)

References 48 publications

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“…Experiments have found little, if any, hysteresis [3,7,9]. This is consistent with our calculations.…”

supporting

confidence: 93%

“…Below a critical value of the magnetic field, vortex lattices in YBa 2 Cu 3 O 7−δ (YBCO) [3][4][5][6] and Bi 2 Sr 2 CaCu 2 O 8 (BSCCO) [7][8][9] undergo a first order phase transition. This conclusion comes from latent heat measurements [6] as well as jumps in the resistivity [3,8,9] and in the magnetization [4,5,7]. It has generally been assumed that this is a melting transition from a vortex solid to a vortex liquid.…”

mentioning

confidence: 99%

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First-order pre-melting transition of vortex lattices

Carruzzo

1998

Philosophical Magazine B

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Vortex lattices in the high temperature superconductors undergo a first order phase transition which has thus far been regarded as melting from a solid to a liquid. We point out an alternative possibility of a two step process in which there is a first order transition from an ordinary vortex lattice to a soft vortex solid followed by another first order melting transition from the soft vortex solid to a vortex liquid. We focus on the first step. This premelting transition is induced by vacancy and interstitial vortex lines. We obtain good agreement with the experimental transition temperature versus field, latent heat, and magnetization jumps for YBCO and BSCCO.Phase transitions involving vortex lattices in the high temperature superconductors is an area of active study [1,2]. Below a critical value of the magnetic field, vortex lattices in YBa 2 Cu 3 O 7−δ (YBCO) [3][4][5][6] and Bi 2 Sr 2 CaCu 2 O 8 (BSCCO) [7][8][9] undergo a first order phase transition. This conclusion comes from latent heat measurements [6] as well as jumps in the resistivity [3,8,9] and in the magnetization [4,5,7]. It has generally been assumed that this is a melting transition from a vortex solid to a vortex liquid. In this paper we suggest the possibility that the melting transition actually occurs in two steps as the temperature increases; the first step is a first order premelting transition from an ordinary vortex lattice to a soft solid with a small but finite shear modulus, and the second step is the first order melting of the soft solid into a vortex liquid. In this paper we focus on the first step. We present an analytic theory of a first order premelting transition in which the shear modulus jumps discontinuously. The transition is induced by interstitial and vacancy line defects in the vortex lattice which soften the shear modulus c 66 . We find good agreement with the experimental curve of transition temperature versus field, latent heat and magnetization jumps for YBCO and BSCCO. In the soft solid phase the superconducting phase coherence along the field is destroyed by the wandering of the defect lines which become entangled in the vortices of the soft solid lattice [10,11]. However, since wandering is energetically costly, the superconducting correlation length along the c-axis is long. Finally we speculate about the relation between our proposed two-step transition and the well known peak effect [12,13].Let us describe our scenario for premelting. Our approach follows that of Granato who showed that interstitial atoms soften the shear modulus of ordinary crystals and lead to a first order transition [14]. We start with a vortex lattice in a clean layered superconductor with a magnetic field H applied perpendicular to the layers along the c-axis. We consider the vortices to be correlated stacks of pancake vortices. We will assume that the transition is induced by topological defect lines, i.e., vacancies and interstitials. In a Delaunay triangulation [15] a vacancy or an interstitial in a triangular lattice is topological...

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“…Experiments have found little, if any, hysteresis [3,7,9]. This is consistent with our calculations.…”

supporting

confidence: 93%

mentioning

confidence: 99%

First-order pre-melting transition of vortex lattices

Carruzzo

1998

Philosophical Magazine B

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“…6-9 For example, two papers reporting flux transformer-type measurements in Bi 2 Sr 2 CaCu 2 O 8ϩy have drawn the contradictory conclusions. 8,9 It should be noted, however, that in such experiments only the coherence of vortices between top and bottom faces of the entire crystal can be evaluated instead of the coherence between the adjacent layers.Microscopic information on the phase coherence between the adjacent layers can be obtained experimentally by using the Josephson plasma resonance ͑JPR͒ as a probe. 10-13 The resonance occurs when the plasma frequency p of the superconducting carriers across the Josephson-coupled layers coincides with the measurement frequency.…”

mentioning

confidence: 99%

mentioning

confidence: 99%

Vortex phase transition with decoupling of the adjacent layers in the organic superconductorκ−(BEDT−TT
Shibauchi
¹
,
Sato
²
,
Ooi
³

et al. 1998
Phys. Rev. B
22
2
16
0
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The temperature dependence of the local magnetic induction measured by using a miniature Hall probe shows a tiny step at a field-dependent temperature in the titled compound. This result implies that there exists a first-order phase transition in the vortex system in this organic superconductor as reported in high-T c cuprates. The height of the step is of the order of 10 mG, from which the entropy change at the transition is estimated to be about 0.1 ͑k B /vortex͒/layer. The measurements of the Josephson plasma resonance reveal that the interlayer phase coherence abruptly changes across the transition line, indicating the decoupling of the adjacent layers. ͓S0163-1829͑98͒51310-0͔Owing to large thermal fluctuations and the effect of layered structures, the H-T phase diagram of the mixed state of high-T c superconductors ͑HTSC͒ is drastically different from that of the conventional superconductors. In particular, it is widely accepted that the vortex lattice in HTSC melts into the vortex liquid at a first-order phase transition well below the mean-field upper critical field. 1-5 The equilibrium magnetization measurements in Bi 2 Sr 2 CaCu 2 O 8ϩy ͑Refs. 1 and 2͒ and YBa 2 Cu 3 O 7Ϫ␦ ͑Refs. 3 and 4͒ have revealed that the density of vortices discontinuously decreases upon cooling at the thermodynamic phase transition like freezing water. The calorimetric measurement in untwinned YBa 2 Cu 3 O 7Ϫ␦ ͑Ref. 5͒ clearly indicates that the transition is first order. The nature of the transition, however, is not yet fully understood. One of the unresolved questions is whether or not the decoupling-the loss of coherence between the layers-takes place at the melting transition. To date experiments on this issue are controversial. 6-9 For example, two papers reporting flux transformer-type measurements in Bi 2 Sr 2 CaCu 2 O 8ϩy have drawn the contradictory conclusions. 8,9 It should be noted, however, that in such experiments only the coherence of vortices between top and bottom faces of the entire crystal can be evaluated instead of the coherence between the adjacent layers.Microscopic information on the phase coherence between the adjacent layers can be obtained experimentally by using the Josephson plasma resonance ͑JPR͒ as a probe. 10-13 The resonance occurs when the plasma frequency p of the superconducting carriers across the Josephson-coupled layers coincides with the measurement frequency. In the mixed state, p 2 is proportional to the interlayer phase coherence ͗cos n,nϩ1 ͘, where n,nϩ1 is the gauge-invariant phase difference between the layers n and nϩ1, and ͗¯͘ denotes thermal and disorder averaging. 14 Quite recently, Matsuda et al. 12 have found that ͗cos n,nϩ1 ͘ shows different temperature dependence between well above and below the melting transition line in Bi 2 Sr 2 CaCu 2 O 8ϩy . However, whether or not the loss of the interlayer coherence occurs at the transition line is still unclear. The -type BEDT-TTF superconducting salts, where BEDT-TTF is bisethylenedithio-tetrathiafulvalene, have the layered structure ...

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“…Accumulated experimental evidence shows that the vortices in a pristine BSCCO are decoupled at least well above the vortex lattice melting line [5,6]. An important question one may ask is whether CDs are effective in pinning decoupled two-dimensional vortices, i.e., pancake vortices.…”

mentioning

confidence: 99%

Recoupling of Decoupled Vortex Liquid by Columnar Defects inBi2Sr2CaCu2
Sato
¹
,
Shibauchi
²
,
Ooi
³

et al. 1997
Phys. Rev. Lett.
81
7
44
1
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We report on the effect of columnar defects on the interlayer phase coherence in Bi 2 Sr 2 CaCu 2 O 81y using Josephson plasma resonance as a probe. In the vortex liquid phase close to T c , the resonance field (H p ) shows a characteristic exponential temperature dependence similar to that of the irreversibility line. A drastic increase in H p occurs at a frequency-dependent temperature in the vortex liquid phase. We interpret this change as a manifestation of field-induced recoupling of decoupled vortex liquid by columnar defects. The double resonance peaks observed in this temperature range indicate the coexistence of coupled and decoupled vortex regions. [S0031-9007(97)04419-0]

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Nonequilibrium Vortex Melting inBi2Sr2CaCu2O<

Cited by 52 publications

References 48 publications

First-order pre-melting transition of vortex lattices

First-order pre-melting transition of vortex lattices

Vortex phase transition with decoupling of the adjacent layers in the organic superconductorκ−(BEDT−TT
Shibauchi
¹
,
Sato
²
,
Ooi
³

et al. 1998
Phys. Rev. B
22
2
16
0
View full text Add to dashboard Cite

Recoupling of Decoupled Vortex Liquid by Columnar Defects inBi2Sr2CaCu2
Sato
¹
,
Shibauchi
²
,
Ooi
³

et al. 1997
Phys. Rev. Lett.
81
7
44
1
View full text Add to dashboard Cite

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Nonequilibrium Vortex Melting inBi2Sr2CaCu2O<

Cited by 52 publications

References 48 publications

First-order pre-melting transition of vortex lattices

First-order pre-melting transition of vortex lattices

Vortex phase transition with decoupling of the adjacent layers in the organic superconductorκ−(BEDT−TTShibauchi1, Sato2, Ooi3 et al. 1998Phys. Rev. B222160View full textAdd to dashboardCite

Recoupling of Decoupled Vortex Liquid by Columnar Defects inBi2Sr2CaCu2Sato1, Shibauchi2, Ooi3 et al. 1997Phys. Rev. Lett.817441View full textAdd to dashboardCite

Contact Info

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Vortex phase transition with decoupling of the adjacent layers in the organic superconductorκ−(BEDT−TT
Shibauchi
¹
,
Sato
²
,
Ooi
³

et al. 1998
Phys. Rev. B
22
2
16
0
View full text Add to dashboard Cite

Recoupling of Decoupled Vortex Liquid by Columnar Defects inBi2Sr2CaCu2
Sato
¹
,
Shibauchi
²
,
Ooi
³

et al. 1997
Phys. Rev. Lett.
81
7
44
1
View full text Add to dashboard Cite