RPA Green's functions of the anisotropic Heisenberg model

Abstract

We solve in the random-phase approximation the anisotropic Heisenberg model, including nearest and next-nearest neighbour interactions by calculating all the 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.

To Jim

‘Think where man's glory most begins and ends,

And say my glory was I had such friends.’ 1

From Miki

Keywords:

• many body theory
• Bose condensation
• theoretical

Acknowledgement

Miklós Gulácsi wishes to thank James L. Smith for his friendship, guidance and encouragement over the years. Thanks for the ‘shmokos’!