Abstract
We consider the influence of the temperature on the normal state in a one-dimensional ferromagnetic phase transition. This transition occurs only at T = 0 in the Luttinger model but the proximity of the critical point can give drastic effects on the physical properties of the normal phase Using the flow equations of the Renormalization group and a Φ4model with a dynamical critical exponent z = 2, we calculated the temperature dependence of coherence length, magnetic susceptibility, and specific heat.
Similar content being viewed by others
References
E. H. Lieb and D. Mattis, Phys. Rev. 125, 164 (1962).
D. E. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966).
S. Daul and R. M. Noack, Phys. Rev. B 58, 2635 (1998).
K. J. Thomas, J. T. Nicholls, M. Y. Simmons, M. Pepper, D. R. Mace, and D. A. Ritchie, Phys. Rev. Lett. 77, 135 (1996).
N. T. Bagraev, A. D. Buravlev, L. E. Klyachkin, A. M. Malyarenko, W. Gehlhoff, V. K. Ivanov, and I. A. Shelykh, Semiconductors 36, 439 (2002).
A. C. Graham, K. J. Thomas, M. Pepper, N. R. Cooper, M. Y. Simmons, and D. A. Ritchie, Phys. Rev. Lett. 91, 136404 (2003).
J. Voit, Rep. Prog. Phys. 58, 977 (1995); See also T. Giamarchi, Quantum Physics in One Dimension (Claredon, Oxford, 2002).
L. Bartosch, M. Kollar, and P. Kopietz, Phys. Rev. 67, 0924403 (2003).
K. Yang, Phys. Rev. Lett. 93, 066401 (2004).
M. Crisan, D. Bodea, I. Grosu, and I. Tifrea, J. Phys. A: Math. Gen. 35, 239 (2002).
A. Caramico D'Auria, L. de Cesare, and I. Rabuffo, Physica A 327, 442 (2003).
S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. B 39, 2344 (1989).
S. Sachdev and T. Senthil, Ann. Phys. 51, 76 (1996).
D. E. Feldman, Phys. Rev. Lett. 95, 177201 (2005).
K. Sengupta and Y. B. Kim, Phys. Rev. B 71, 174427 (2005).
D. W. Wang, E. G. Mishchenco, and E. Demler, Phys. Rev. Lett. 95, 086802 (2005).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Crisan, M., Grosu, I. & Tifrea, I. Quantum Critical Proximity of the One-Dimensional Ferromagnetic Phase. J Supercond 20, 273–277 (2007). https://doi.org/10.1007/s10948-006-0201-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-006-0201-8