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The research aims to develop a diagrammatic formalism for analyzing quantum spin-1/2 models using Majorana operators.

January 18, 2026SciPost Physics CoreOpen Access

Majorana diagrammatics for quantum spin-1/2 models

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Derives Feynman rules for quantum spin systems, highlighting the importance of perturbative corrections.

The research aims to develop a diagrammatic formalism for analyzing quantum spin-1/2 models using Majorana operators.
Developed a mapping between spin and Majorana operators on lattice structures.
Derived Feynman rules for expansion around a color-preserving mean-field theory.
Computed numerical results for perturbative corrections in the Heisenberg model in one and two dimensions.
Perturbative corrections significantly improve mean-field theory results.
Numerical outcomes demonstrate the importance of these corrections in quantum spin systems.

Noblet et al. (2026) studied this question.

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