Exact Thermodynamics of Disordered Impurities in Quantum Spin Chains

Abstract

Exact results for the thermodynamic properties of ensembles of magnetic impurities with randomly distributed host-impurity couplings in the quantum antiferromagnetic Heisenberg model are presented. Exact calculations are done for arbitrary values of temperature and external magnetic field. We have shown that for strong disorder the quenching of the impurity moments is absent. For weak disorder the screening persists, but with the critical non-Fermi-liquid behaviors of the magnetic susceptibility and specific heat. A comparison with the disordered Kondo effect experiments in dirty metallic alloys is performed.

4 pages Latex

References in corpus (3)

• Disorder-driven non-Fermi liquid behavior in Kondo alloys
• Kondo disorder: a possible route towards non-Fermi liquid behavior
• Absence of backscattering at integrable impurities in one-dimensional quantum many-body systems

Cited by in corpus (6)

• Time evolution of local observables after quenching to an integrable model
• Integrable spin chains with random interactions
• Finite-temperature behavior of an impurity in the spin-1/2 XXZ chain
• Crossover temperature of the spin-1/2 XXZ chain with an impurity
• Antiferromagnetic order in weakly coupled random spin chains
• T-W relation and free energy of the Heisenberg chain at a finite temperature