Abstract
The Mott metal to insulator transition is a remarkable phenomenon observed in strongly correlated materials, where the localization of electronic waves is driven by on-site electron–electron repulsion (see [7] for a review). Although the appearance of a Mott gap is clearly a charge-related effect, magnetism is expected to play a key role in elucidating the true nature of this phase transition. Indeed, since the Mott insulating state is purely paramagnetic, local moments are well-defined objects between their formation at high temperature (about the local Coulomb interaction ) and their ultimate ordering at the Neel temperature. This offers a window for the Mott transition to occur, in which the behavior of these local spin excitations is yet to be clearly understood. The simplest situation lies in case where the low-temperature magnetic ordering is first order, as in Cr-doped \({\textrm V}_2{\textrm O}_3\). Accordingly magnetic fluctuations should be expected to be weak, so that many predictions can be made from a single-site approach such as the Dynamical Mean Field Theory (DMFT) [4]. In particular, the fact that a low-temperature metallic state leads upon heating to an insulating phase can be understood as a Pomeranchuk effect , where the entropy gain benefits the state with magnetic degeneracy.
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References
A. Auerbach Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994).
A. J. Bray and M. A. Moore J. Phys. C: Solid St. Phys., 13, L655 (1980).
S. Florens and A. Georges, Phys. Rev. B 66, 165111 (2002).
A. Georges, G. Kotliar, W. Krauth and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
G. Grinstein, Fundamental Problems in Statistical Mechanics VI, E.G.D Cohen (ed.) (Elsevier, New York, 1950).
J. A. Hertz, Phys. Rev.B 14, 1165 (1976).
M. Imada, A. Fujimori and Y. Tokura, Rev. Mod. Phys. 70, 4 (1998).
C. Janani, S. Florens, T. Gupta and R. Narayanan, to be published.
F. Kagawa, T. Itou, K. Miyagawa, and K. Kanoda, Phys. Rev. B 69, 064511 (2004).
G. Kotliar, E. Lange and M. J. Rozenberg, Phys. Rev. Lett. 84, 22 (2000).
S. Lefebvre, P. Wzietek, S. Brown, C. Bourbonnais, D. Jérome, C. Mézière, M. Fourmigué, and P. Batail, Phys. Rev. Lett. 85, 5420 (2000).
P. Limelette, P. Wzietek, S. Florens, A. Georges, T.A. Costi, C. Pasquier, D. Jérome, C. Mézière, and P. Batail, Phys. Rev. Lett. 91, 016401 (2003).
J.W. Negele and H. Orland “Quantum Many-Particle Systems”, Frontiers in Physics, (Addison-Wesley, California and New York, 1988).
T. Ohashi, T. Momoi, H. Tsunetsugu, and N. Kawakami, Phys. Rev. Lett 100, 076402 (2008).
S. Onoda and N. Nagaosa, J. Phys. Soc. Jap. 72, 2445 (2003).
O. Parcollet and A. Georges, Phys. Rev. B 59, 5341 (1999).
H. Park, K. Haule, and G. Kotliar, Phys. Rev. Lett. 101, 186403 (2008); Soc. Jap. 72, 2445 (2003).
S. Sachdev and J. Ye, Phys. Rev, Lett. 70, 3339 (1993).
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Janani, C., Florens, S., Gupta, T., Narayanan, R. (2010). Influence of Local Moment Fluctuations on the Mott Transition. In: Chandra, A., Das, A., Chakrabarti, B. (eds) Quantum Quenching, Annealing and Computation. Lecture Notes in Physics, vol 802. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11470-0_7
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