Schwinger boson approach to the fully screened kondo model

作者: J. Rech , P. Coleman , G. Zarand , O. Parcollet

DOI: 10.1103/PHYSREVLETT.96.016601

关键词: PhysicsBosonValence bond theoryQuantum phase transitionKondo modelKondo effectStrongly correlated materialFermi liquid theoryWilson ratioQuantum mechanics

摘要: We apply the Schwinger boson scheme to fully screened Kondo model and generalize method include antiferromagnetic interactions between ions. Our approach captures crossover from local moment behavior a Fermi liquid with nontrivial Wilson ratio. When applied two-impurity model, mean-field theory describes "Varma-Jones" quantum phase transition valence bond state heavy liquid.

参考文章(32)
F M Grosche, P Agarwal, S R Julian, N J Wilson, R K W Haselwimmer, S J S Lister, N D Mathur, F V Carter, S S Saxena, G G Lonzarich, Anomalous low temperature states in CeNi2Ge2 and CePd2Si2 Journal of Physics: Condensed Matter. ,vol. 12, ,(2000) , 10.1088/0953-8984/12/32/101
A. Schröder, G. Aeppli, R. Coldea, M. Adams, O. Stockert, H.v. Löhneysen, E. Bucher, R. Ramazashvili, P. Coleman, Onset of antiferromagnetism in heavy-fermion metals Nature. ,vol. 407, pp. 351- 355 ,(2000) , 10.1038/35030039
Qimiao Si, J. Lleweilun Smith, Kevin Ingersent, Silvio Rabello, Locally critical quantum phase transitions in strongly correlated metals Nature. ,vol. 413, pp. 804- 808 ,(2001) , 10.1038/35101507
N. D. Mathur, F. M. Grosche, S. R. Julian, I. R. Walker, D. M. Freye, R. K. W. Haselwimmer, G. G. Lonzarich, Magnetically mediated superconductivity in heavy fermion compounds Nature. ,vol. 394, pp. 39- 43 ,(1998) , 10.1038/27838
J. M. Luttinger, J. C. Ward, Ground-State Energy of a Many-Fermion System Physical Review. ,vol. 118, pp. 1417- 1427 ,(1960) , 10.1103/PHYSREV.118.1417
J Custers, Philipp Gegenwart, H Wilhelm, K Neumaier, Y Tokiwa, O Trovarelli, C Geibel, F Steglich, C Pépin, Piers Coleman, None, The break-up of heavy electrons at a quantum critical point Nature. ,vol. 424, pp. 524- 527 ,(2003) , 10.1038/NATURE01774
Ph. Nozières, A. Blandin, Kondo effect in real metals Journal de Physique. ,vol. 41, pp. 193- 211 ,(1980) , 10.1051/JPHYS:01980004103019300
Assa Auerbach, K. Levin, Kondo bosons and the Kondo lattice: Microscopic basis for the heavy Fermi liquid. Physical Review Letters. ,vol. 57, pp. 877- 880 ,(1986) , 10.1103/PHYSREVLETT.57.877
Olivier Parcollet, Antoine Georges, Transition from Overscreening to Underscreening in the Multichannel Kondo Model: Exact Solution at Large N Physical Review Letters. ,vol. 79, pp. 4665- 4668 ,(1997) , 10.1103/PHYSREVLETT.79.4665
B. A. Jones, B. G. Kotliar, A. J. Millis, Mean-field analysis of two antiferromagnetically coupled Anderson impurities Physical Review B. ,vol. 39, pp. 3415- 3418 ,(1989) , 10.1103/PHYSREVB.39.3415