Characteristics of First-Order Vortex Lattice Melting: Jumps in Entropy and Magnetization

Matthew J. W. Dodgson; Vadim B. Geshkenbein; Henrik Nordborg; Gianni Blatter

doi:10.1103/PhysRevLett.80.837

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Characteristics of First-Order Vortex Lattice Melting: Jumps in Entropy and Magnetization

Matthew J. W. Dodgson¹, Vadim B. Geshkenbein^1,2, Henrik Nordborg^1,3, and Gianni Blatter¹

¹Theoretische Physik, ETH-Hönggerberg, CH-8093 Zürich, Switzerland
²L. D. Landau Institute for Theoretical Physics, 117940 Moscow, Russia
³Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439

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Phys. Rev. Lett. 80, 837 – Published 26 January, 1998

DOI: https://doi.org/10.1103/PhysRevLett.80.837

Abstract

We derive expressions for the jumps in entropy and magnetization characterizing the first-order melting transition of a flux line lattice. In our analysis we account for the temperature dependence of the Landau parameters and make use of the proper shape of the melting line as determined by the relative importance of electromagnetic and Josephson interactions. The results agree well with experiments on anisotropic $Y_{1} {Ba}_{2} {Cu}_{3} O_{7 - δ}$ and layered ${Bi}_{2} {Sr}_{2} {Ca}_{1} {Cu}_{2} O_{8}$ materials and reaffirm the validity of the London model.

References (19)

M. Tinkham, Introduction to Superconductivity (McGraw-Hill, Inc., New York, 1996).
D. R. Nelson, Phys. Rev. Lett. 60, 1973 (1988).
A. Houghton et al., Phys. Rev. B 40, 6763 (1989).
L. D. Landau, Phys. Z. Sowiet 11, 26 (1937).
H. Pastoriza et al., Phys. Rev. Lett. 72, 2951 (1994).
E. Zeldov et al., Nature (London) 375, 373 (1995).
U. Welp et al., Phys. Rev. Lett. 76, 4809 (1996).
A. Schilling et al., Nature (London) 382, 791 (1996).
A. Junod et al., Physica (Amsterdam) 275C, 245 (1997).
R. Šášik and D. Stroud, Phys. Rev. Lett. 75, 2582 (1995).
H. Nordborg and G. Blatter (unpublished).
J. Hu and A. MacDonald, Phys. Rev. B 56, 2788 (1997).
H. Nordborg and G. Blatter, Phys. Rev. Lett. 79, 1925 (1997).
A. Schilling et al., Phys. Rev. Lett. 78, 4833 (1997).
G. Blatter et al., Phys. Rev. B 54, 72 (1996).
G. Blatter et al., Rev. Mod. Phys. 66, 1125 (1994).
It follows that this analysis is not particular to the lowest Landau level approximation as claimed in Ref. [[12]].
We ignore the small difference between $B$ and $H$ .
Within the London description of type-II superconductors the dependence on $1 - (T / T_{c})^{2} - H / H_{c_{2}} (0)$ modifies the melting line. However, since $H_{m} / H_{c_{2}}$ remains small, our simplified discussion is quantitatively correct.

[c1] M. Tinkham, Introduction to Superconductivity (McGraw-Hill, Inc., New York, 1996).

[c2] D. R. Nelson, Phys. Rev. Lett. 60, 1973 (1988).

[c3] A. Houghton et al., Phys. Rev. B 40, 6763 (1989).

[c4] L. D. Landau, Phys. Z. Sowiet 11, 26 (1937).

[c5] H. Pastoriza et al., Phys. Rev. Lett. 72, 2951 (1994).

[c6] E. Zeldov et al., Nature (London) 375, 373 (1995).

[c7] U. Welp et al., Phys. Rev. Lett. 76, 4809 (1996).

[c8] A. Schilling et al., Nature (London) 382, 791 (1996).

[c9] A. Junod et al., Physica (Amsterdam) 275C, 245 (1997).

[c10] R. Šášik and D. Stroud, Phys. Rev. Lett. 75, 2582 (1995).

[c11] H. Nordborg and G. Blatter (unpublished).

[c12] J. Hu and A. MacDonald, Phys. Rev. B 56, 2788 (1997).

[c13] H. Nordborg and G. Blatter, Phys. Rev. Lett. 79, 1925 (1997).

[c14] A. Schilling et al., Phys. Rev. Lett. 78, 4833 (1997).

[c15] G. Blatter et al., Phys. Rev. B 54, 72 (1996).

[c16] G. Blatter et al., Rev. Mod. Phys. 66, 1125 (1994).

[c17] It follows that this analysis is not particular to the lowest Landau level approximation as claimed in Ref. [[12]].

[c18] We ignore the small difference between $B$ and $H$ .

[c19] Within the London description of type-II superconductors the dependence on $1 - (T / T_{c})^{2} - H / H_{c_{2}} (0)$ modifies the melting line. However, since $H_{m} / H_{c_{2}}$ remains small, our simplified discussion is quantitatively correct.

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Characteristics of First-Order Vortex Lattice Melting: Jumps in Entropy and Magnetization

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