Next nearest neighbour interactions in the Heisenberg model
Year: 2017
Type: dissertation
Abstract: The Bethe ansatz is used to analytically solve the Heisenberg model with nearest neighbour interactions for spin-1/2 particles in an one dimensional chain. Our goal is to find out if the Bethe ansatz can be extended to nearest and next nearest neighbour interactions and to gain insight into the system with exact diagonalization. We find that this cannot be done. Because of certain assumptions made in the Bethe ansatz, the method fails for next nearest neighbour interactions.
Author: J. Moens
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2748848826