RPA Green's Functions of the Anisotropic Heisenberg Model
Andre Johannes Stoffel, Miklos Gulacsi
TL;DR
This paper presents a pedagogic solution to the anisotropic Heisenberg model using RPA, calculating Green's functions and correlations for complex interactions, accessible to graduate students and physicists.
Contribution
It provides a comprehensive, accessible RPA-based method for solving the anisotropic Heisenberg model with complex interactions, including next-nearest neighbors.
Findings
Calculated Green's functions and pair correlations for the model.
Demonstrated the method's pedagogic clarity and accessibility.
Extended the solution to include complex interaction terms.
Abstract
We solve in random-phase approximation the anisotropic Heisenberg model, including nearest and next-nearest neighbour interactions by calculating all Green's functions and pair correlation functions in a cumulant decoupling scheme. The general exposition is pedagogic in tone and is intended to be accessible to any graduate student or physicist who is not an expert in the field.
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