Low-Temperature Specific Heat of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">YBa</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><msub><mrow><mi mathvariant="normal">Cu</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow><mrow><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn>7</mn><mo>−</mo><mi mathvariant="italic">δ</mi></mrow></msub></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>0</mn><mi>≤</mi><mspace></mspace><mi mathvariant="italic">δ</mi><mspace></mspace><mi>≤</mi><mn>0.2</mn></math>: Evidence for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="italic">d</mi></math>-Wave Pairing

D. A. Wright; J. P. Emerson; B. F. Woodfield; J. E. Gordon; R. A. Fisher; N. E. Phillips

doi:10.1103/PhysRevLett.82.1550

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Low-Temperature Specific Heat of ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ , $0 \leq δ \leq 0.2$ : Evidence for $d$ -Wave Pairing

D. A. Wright, J. P. Emerson, B. F. Woodfield^*, J. E. Gordon^†, R. A. Fisher, and N. E. Phillips

Department of Chemistry, University of California and Lawrence Berkeley National Laboratory, Berkeley, California 94720

^*Present address: Department of Chemistry and Biochemistry, Brigham Young University, Provo, UT 84602.
^†Permanent address: Department of Physics, Amherst College, Amherst, MA 01002.

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Phys. Rev. Lett. 82, 1550 – Published 15 February, 1999

DOI: https://doi.org/10.1103/PhysRevLett.82.1550

Abstract

The dependence of the specific heat of ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ on temperature $(T)$ and magnetic field $(H)$ shows a number of features predicted for $d$ -wave pairing: a $T^{2}$ term for $H = 0$ and an $H^{1 / 2} T$ term for $H \neq 0$ and low $T$ , with a crossover to a stronger $T$ dependence at higher $T$ . For all $H$ and $T$ , these results are consistent with a recently proposed scaling relation. Values of the parameters derived from experimental data agree with theoretical predictions.

References (20)

K. A. Kouznetsov et al., Phys. Rev. Lett. 79, 3050 (1997), and references therein.
D. J. Scalapino (private communication).
N. B. Kopnin and G. E. Volovik, JETP Lett. 64, 690 (1996); G. E. Volovik, 65, 491 (1997).
G. E. Volovik, JETP Lett. 58, 469 (1993).
H. Won and K. Maki, Europhys. Lett. 30, 421 (1995).
S. H. Simon and P. A. Lee, Phys. Rev. Lett. 78, 1548 (1997).
K. A. Moler et al., Phys. Rev. Lett. 73, 2744 (1994).
R. A. Fisher et al., Physica (Amsterdam) 252C, 237 (1995).
B. Revaz et al., Phys. Rev. Lett. 80, 3364 (1998).
J. P. Emerson et al., preceding Letter, Phys. Rev. Lett. 82, 1546 (1999).
See, e.g., F. J. Morin et al., Phys. Rev. Lett. 8, 275 (1962); R. Radebaugh and P. H. Keesom, Phys. Rev. 149, 217 (1966); J. F. da Silva et al., Physica (Utrecht) 32, 1253 (1966); G. R. Stewart and B. L. Brandt, Phys. Rev. B 29, 3908 (1984).
K. Maki, Physics (Long Island City, N.Y.) 1, 21 (1964); Phys. Rev. 139, A702 (1965); C. Caroli et al., Phys. Lett. 9, 307 (1964); B. B. Goodman, 12, 6 (1964).
A. P. Ramirez, Phys. Lett. A 211, 59 (1996).
J. C. F. Brock, Solid State Commun. 7, 1789 (1969).
K. Karrai et al., Phys. Rev. Lett. 69, 152 (1992).
S. R. Bahcall, Phys. Rev. Lett. 77, 5276 (1996).
K. A. Moler et al., Phys. Rev. B 55, 3954 (1997).
A. Junod, in Studies of High Temperature Superconductors, A. V. Narlikar (Nova Science Publishers, Commack, NY, 1996), Vol. 19, p. 1.
N. E. Phillips et al., Phys. Rev. Lett. 65, 357 (1990); , J. Supercond. 7, 251 (1994).
R. A. Fisher et al. (to be published).

[c1] K. A. Kouznetsov et al., Phys. Rev. Lett. 79, 3050 (1997), and references therein.

[c2] D. J. Scalapino (private communication).

[c3] N. B. Kopnin and G. E. Volovik, JETP Lett. 64, 690 (1996); G. E. Volovik, 65, 491 (1997).

[c4] G. E. Volovik, JETP Lett. 58, 469 (1993).

[c5] H. Won and K. Maki, Europhys. Lett. 30, 421 (1995).

[c6] S. H. Simon and P. A. Lee, Phys. Rev. Lett. 78, 1548 (1997).

[c7] K. A. Moler et al., Phys. Rev. Lett. 73, 2744 (1994).

[c8] R. A. Fisher et al., Physica (Amsterdam) 252C, 237 (1995).

[c9] B. Revaz et al., Phys. Rev. Lett. 80, 3364 (1998).

[c10] J. P. Emerson et al., preceding Letter, Phys. Rev. Lett. 82, 1546 (1999).

[c11] See, e.g., F. J. Morin et al., Phys. Rev. Lett. 8, 275 (1962); R. Radebaugh and P. H. Keesom, Phys. Rev. 149, 217 (1966); J. F. da Silva et al., Physica (Utrecht) 32, 1253 (1966); G. R. Stewart and B. L. Brandt, Phys. Rev. B 29, 3908 (1984).

[c12] K. Maki, Physics (Long Island City, N.Y.) 1, 21 (1964); Phys. Rev. 139, A702 (1965); C. Caroli et al., Phys. Lett. 9, 307 (1964); B. B. Goodman, 12, 6 (1964).

[c13] A. P. Ramirez, Phys. Lett. A 211, 59 (1996).

[c14] J. C. F. Brock, Solid State Commun. 7, 1789 (1969).

[c15] K. Karrai et al., Phys. Rev. Lett. 69, 152 (1992).

[c16] S. R. Bahcall, Phys. Rev. Lett. 77, 5276 (1996).

[c17] K. A. Moler et al., Phys. Rev. B 55, 3954 (1997).

[c18] A. Junod, in Studies of High Temperature Superconductors, A. V. Narlikar (Nova Science Publishers, Commack, NY, 1996), Vol. 19, p. 1.

[c19] N. E. Phillips et al., Phys. Rev. Lett. 65, 357 (1990); , J. Supercond. 7, 251 (1994).

[c20] R. A. Fisher et al. (to be published).

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Low-Temperature Specific Heat of ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ , $0 \leq δ \leq 0.2$ : Evidence for $d$ -Wave Pairing

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Low-Temperature Specific Heat of YBa2Cu3O7−δ, 0≤δ≤0.2: Evidence for d-Wave Pairing

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References (20)

Low-Temperature Specific Heat of ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ , $0 \leq δ \leq 0.2$ : Evidence for $d$ -Wave Pairing