Discrete Hubbard-Stratonovich transformations for systems with orbital degeneracy
O. Gunnarsson (Max-Planck-Institut fur Festkorperforschung, Stuttgart,, Germany), E. Koch (Department of Physics, University of Illinois, Urbana)
TL;DR
This paper introduces a discrete Hubbard-Stratonovich transformation tailored for systems with orbital degeneracy, enabling exact and approximate methods for handling Coulomb interactions without multiplet effects.
Contribution
The paper presents a novel exact discrete Hubbard-Stratonovich transformation for orbital degeneracy systems and proposes simplified approximate transformations with fewer field values.
Findings
Exact transformation using an external field with N+1 values
Approximate transformations with fewer field values, e.g., two for Ising spins
Facilitates computational modeling of orbital degeneracy systems
Abstract
A discrete Hubbard-Stratonovich transformation is presented for systems with an orbital degeneracy and a Hubbard Coulomb interaction without multiplet effects. An exact transformation is obtained by introducing an external field which takes values. Alternative approximate transformations are presented, where the field takes fewer values, for instance two values corresponding to an Ising spin.
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