Paper Image

Quantum phases in spin system with competing interactions

Published on:

11 March 2024

Primary Category:

Strongly Correlated Electrons

Paper Authors:

Huan-Qiang Zhou,

Qian-Qian Shi,

Ian P. McCulloch,

Murray T. Batchelor

Bullets

Key Details

Model has staggered SU(3) symmetry at dimer point, breaking to U(1) x U(1)

At trimer point, uniform SU(3) symmetry breaks to U(1) x U(1)

In between, uniform SU(2) symmetry breaks to U(1)

Degeneracies match sequences related to self-similar logarithmic spirals

Fractal dimension of states equals number of type-B Goldstone modes

AI generated summary

Quantum phases in spin system with competing interactions

This paper investigates spontaneous symmetry breaking and resulting exotic quantum phases in a 1D quantum spin-1 system with competing dimer and trimer interactions. Three distinct symmetry breaking patterns emerge, with different numbers of type-B Goldstone modes, leading to macroscopic ground state degeneracies. These degenerate states exhibit self-similar, fractal-like structures described by a fractal dimension identical to the number of Goldstone modes. Overall, this spin system displays unusual scale invariant quantum states of matter.

Answers from this paper

Comments

No comments yet, be the first to start the conversation...

Sign up to comment on this paper

Sign Up