Microscopic Wave Functions of Spin Singlet and Nematic Mott States of Spin-One Bosons in High Dimensional Bipartite Lattices

TL;DR

This paper constructs microscopic wave functions for spin singlet and nematic Mott insulators of spin-one bosons in high-dimensional bipartite lattices, analyzing quantum phase transitions between these states.

Contribution

It provides explicit microscopic wave functions and studies phase transitions in both large-N and small-N limits, revealing their weakly first order nature.

Findings

Phase transitions are generally weakly first order.

Microscopic wave functions for both phases are explicitly constructed.

Quantum phase transitions are analyzed in high-dimensional bipartite lattices.

Abstract

We present microscopic wave functions of spin singlet Mott insulating states and nematic Mott insulating states. We also investigate quantum phase transitions between the spin singlet Mott phase and the nematic Mott phase in both large-N limit and small-N limit (N being the number of particles per site) in high dimensional bipartite lattices. In the mean field approximation employed in this article we find that phase transitions are generally weakly first order.