Exact Ground States and Excited States of Net Spin Models

TL;DR

This paper investigates exactly solvable net spin models, identifying two types of ground states and exploring various phases and excitation gaps.

Contribution

It introduces a class of exactly soluble net spin models with distinct ground states and characterizes their phase diagrams and excitation gaps.

Findings

Two types of ground states identified: dimerized and spin-1 model ground state.

Multiple phases characterized and excitation gaps determined.

Exact solutions provide insights into spin model behaviors.

Abstract

We study a set of exactly soluble net spin models. There exist two kinds of ground state, one is a complete dimerized state, and the other one is the ground state of corresponding spin-1 model. For the excitation gap, various phases were discovered and determined.