Universally Diverging Grüneisen Parameter and the Magnetocaloric Effect Close to Quantum Critical Points

Physical Review Letters

Volumn 91, Issue 6, 2003, Pages

  Zhu, Lijun ^a   Garst, Markus ^b   Rosch, Achim ^b   Si, Qimiao ^a  

^a RICE UNIVERSITY   (United States)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC FIELD EFFECTS; PRESSURE EFFECTS; SPECIFIC HEAT OF SOLIDS; THERMAL EXPANSION; VOLUME FRACTION;

GRUNEISEN PARAMETER; MAGNETOCALORIC EFFECT; QUANTUM CRITICAL POINTS; SCALING DIMENSION;

QUANTUM THEORY;

EID: 0141453100     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.91.066404     Document Type: Article

References (22)

1. E. Grüneisen, Ann. Phys. (Leipzig)ANPYA2 39, 257 (1912).
2. L.D. Landau and E.M. Lifshitz, Statistical Physics (Butterworth-Heinemann, Oxford, 1959).
3. R. Takke et al, Z. Phys. B 44, 33 (1981);
4. P. Thalmeier and P. Fulde, Europhys. Lett. 1, 367 (1986).
5. S. Kambe et al, J. Phys. Condens. Matter10.1088/0953-8984/9/23/015 9, 4917 (1997).
6. J.A. Hertz, Phys. Rev. B 14, 1165 (1976).
7. A.J. Millis, Phys. Rev. B10.1103/PhysRevB.48.7183 48, 7183 (1993).
8. Q. Si et al, Nature (London)10.1038/35101507 413, 804 (2001);
9. D.R. Grempel and Q. Si, Phys. Rev. Lett. 91, 026401 (2003).
10. D. Belitz et al, Phys. Rev. B 63, 174427 (2001).
11. A. Rosch, Phys. Rev. B10.1103/PhysRevB.64.174407 64, 174407 (2001).
12. Ar. Abanov and A.V. Chubukov, Phys. Rev. Lett.10.1103/PhysRevLett.84.5608 84, 5608 (2000).
13. A.J. Millis et al, Phys. Rev. Lett.10.1103/PhysRevLett.88.217204 88, 217204 (2002).
14. D. Belitz et al, Phys. Rev. B10.1103/PhysRevB.55.9452 55, 9452 (1997);
15. T.R. Kirkpatrick and D. Belitz, Phys. Rev. Lett.10.1103/PhysRevLett.89.247202 89, 247202 (2002).
16. A. Rosch et al, Phys. Rev. Lett.10.1103/PhysRevLett.79.159 79, 159 (1997);
17. I. Paul and G. Kotliar, Phys. Rev. B10.1103/PhysRevB.64.184414 64, 184414 (2001).
18. U. Zülicke and A.J. Millis, Phys. Rev. B10.1103/PhysRevB.51.8996 51, 8996 (1995).
19. A. Lacerda et al, Phys. Rev. B10.1103/PhysRevB.40.8759 40, 8759 (1989);
20. A. Lacerda
21. A. de Visser et al, Physica (Amsterdam)PHYBE3 171B, 190 (1991).
22. Since the first submission of this manuscript, the divergence of the Grüneisen ratio predicted here has been observed in two quantum critical heavy fermions [(Formula presented) and (Formula presented)]: R. Küchler et al, following Letter, Phys. Rev. Lett. 91, 066405 (2003).