Quantum Critical Point in the Spin Glass-Kondo Transition in Heavy Fermion Systems

Abstract

The Kondo-Spin Glass competition is studied in a theoretical model of a Kondo lattice with an intra-site Kondo type exchange interaction treated within the mean field approximation, an inter-site quantum Ising exchange interaction with random couplings among localized spins and an additional transverse field in the x direction, which represents a simple quantum mechanism of spin flipping. We obtain two second order transition lines from the spin-glass state to the paramagnetic one and then to the Kondo state. For a reasonable set of the different parameters, the two second order transition lines do not intersect and end in two distinct QCP.

arXiv comment20 pages; 1 figure; to appear in Physical Review B

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• Doniach diagram for ordered, disordered and underscreened Kondo lattices
• Quantum critical point in the spin glass-antiferromagnetism competition in Kondo-lattice systems
• Quantum critical point in the spin glass-antiferromagnetism competition for fermionic Ising Models
• One-step replica symmetry breaking solution for fermionic Ising spin glass in a transverse field
• Fermionic Ising glasses in magnetic transverse field with BCS pairing interaction
• Replica symmetry breaking in the transverse-field Ising spin-glass model: Two frmionic representations
• Fermionic van Hemmen Spin Glass Model with a Transverse Field
• The spin glass-antiferromagnetism competition in Kondo-lattice systems in the presence of a transverse applied magnetic field