Exact ground state for the generic periodic Anderson model around half-filling

Research output: Contribution to journalArticle

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Abstract

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.

Original languageEnglish
Pages (from-to)405-410
Number of pages6
JournalPhilosophical Magazine Letters
Volume84
Issue number6
DOIs
Publication statusPublished - Jun 2004

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Ground state
operators
ground state
Hamiltonians
Phase diagrams
Mathematical operators
deduction
Decomposition
Electrons
phase diagrams
decomposition
conduction
cells
electrons

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Exact ground state for the generic periodic Anderson model around half-filling. / Gulácsi, Z.

In: Philosophical Magazine Letters, Vol. 84, No. 6, 06.2004, p. 405-410.

Research output: Contribution to journalArticle

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