Journal Title

Physical Review B

Publication Date

2001

Abstract

We investigate the application of a perturbative renormalization group (RG) method to random antiferromagnetic Heisenberg chains with arbitrary spin size. At zero temperature we observe that initial arbitrary probability distributions develop a singularity at J = 0, for all values of spin S. When the RG method is extended to finite temperatures, without any additional assumptions, we find anomalous results for S >= 1. These results lead us to conclude that the perturbative scheme is not adequate to study random chains with S >= 1. Therefore a random singlet phase in its more restrictive definition is only assured for spin-1/2 chains.

Subjects

Energy levels (Quantum mechanics); Quantum theory

Publication Information

Copyright 2001 American Physical Society

DOI

10.1103/PhysRevB.63.052414

Peer-Reviewed

Yes

Document Type

Journal Article

Included in

Physics Commons

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