Dynamical Effective Medium Theory for Quantum Spins and Multipoles

Details Dynamical Effective Medium Theory for Quantum Spins and Multipoles Dynamical Effective Medium Theory for Quantum Spins and Multipoles

1997-07-08

arxiv.org/abs/cond-mat/9707075v1

Physics

Condensed Matter

16 pages, 3 Postscript figures

Scientific paper

10.1143/JPSJ.67.583

A dynamical effective medium theory is presented for quantum spins and higher multipoles such as quadrupole moments. The theory is a generalization of the spherical model approximation for the Ising model, and is accurate up to O(1/z_n) where z_n is the number of interacting neighbors. The polarization function is optimized under the condition that it be diagonal in site indices. With use of auxiliary fields and path integrals, the theory is flexibly applied to quantum spins and higher multipoles with many interacting neighbors. A Kondo-type screening of each spin is proposed for systems with extreme quantum fluctuations but without conduction electrons.

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