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Philosophical Magazine Letters

Exact results related to the periodic Anderson model in D » 1 dimensions

Iván Orlik, Zsolt Gulácsi

Published Aug 1, 1998• 16 citations
Publisher

Abstract

We present exact results related to the T = 0 phase diagram of the periodic Anderson model in the strong coupling U =infinity limit for D = 2,3 dimensions. In a restricted parameter region, a ground state with simple algebraic structure was deduced in both dimensions, and its region of existence was characterized by sufficient conditions. The quasiparticle creation operator that builds up the ground state wave function does not satisfy the standard fermionic anticommutation relations.

DOI
10.1080/095008398178174

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Explicitly given, exact, ground-state solutions are reported for the one-dimensional periodic Anderson model in the limit of strong on-site repulsion, at and above half-filling, in the generic case of the model, for which f-electron hopping is forbidden. The description is presented for Bravais lattices, and the deduction procedure is based on decomposition of the starting Hamiltonian in positive semidefinite operators, which are defined as combinations of fermionic operators acting on the lattice sites of blocks. In comparison with the previously used procedures of this type, we use blocks greater than a unit cell, and a nonlinear combination of fermionic operators acting on the lattice sites. Based on such block operators, the previously known exact, ground-state solution possibilities at one-quarter and three-quarter filling have been extended to half-filling. The deduced ground state is present in restricted regions of the T = 0 phase diagram of the model, and is a spin-singlet conducting state.