Real Space Renormalization Group Study of the S=1/2 XXZ Chains with Fibonacci Exchange Modulation

TL;DR

This paper investigates the ground state properties of the S=1/2 XXZ chain with Fibonacci exchange modulation using real space renormalization group methods, revealing a new universality class and mapping the phase diagram.

Contribution

It introduces a novel analysis of Fibonacci-modulated XXZ chains, identifying a new quantum critical universality class and combining strong and weak coupling results.

Findings

Quantum dynamical critical behavior with a new universality class

Ground state phase diagram of Fibonacci-modulated XXZ chain

Agreement with weak coupling renormalization group results

Abstract

Ground state properties of the S=1/2 antiferromagnetic XXZ chain with Fibonacci exchange modulation are studied using the real space renormalization group method for strong modulation. The quantum dynamical critical behavior with a new universality class is predicted in the isotropic case. Combining our results with the weak coupling renormalization group results by Vidal et al., the ground state phase diagram is obtained.