Characterization of Reflection Positivity: Majoranas and Spins

Abstract

We study linear functionals on a Clifford algebra (algebra of Ma- joranas) equipped with a reflection automorphism. For Hamiltonians that are functions of Majoranas or of spins, we find necessary and sufficient conditions on the coupling constants for reflection positivity to hold. One can easily check these conditions in concrete models. We illustrate this by discussing a number of spin systems with nearest-neighbor and long-range interactions.

32 pages, 2 figures

References in corpus (4)

• The Flux-Phase of the Half-Filled Band
• On the flux phase conjecture at half-filling: an improved proof
• Reflection Positivity for Parafermions
• Reflection Positivity for Majoranas

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