PlumX Metrics
Embed PlumX Metrics

Breakdown of replica analyticity in the one-dimensional axis model

Physical Review B, ISSN: 0163-1829, Vol: 32, Issue: 5, Page: 3319-3321
1985
  • 6
    Citations
  • 0
    Usage
  • 1
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

Article Description

We consider a random-bond one-dimensional m-component axis model, which has a transition for m<1. We solve the model exactly with and without using the replica trick. Below the transition, the exact zeros of the partition function ZNn move towards the positive real n axis in the thermodynamic limit indicating the breakdown of analytic continuation: We cannot approach the n=0 point once the thermodynamic limit is taken. We also show that we cannot interchange the thermodynamic and the replica limits below the transition. © 1985 The American Physical Society.

Provide Feedback

Have ideas for a new metric? Would you like to see something else here?Let us know