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Multiversality and Unnecessary Criticality in One Dimension.

Abhishodh Prakash1, Michele Fava1, S A Parameswaran1

  • 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom.

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Summary
This summary is machine-generated.

We found new spin ladder models with surprising critical surfaces. These surfaces, exhibiting multiversality or unnecessary criticality, have properties not predictable from adjacent phases.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Statistical Mechanics

Background:

  • Spin ladders are key models in condensed matter physics.
  • Understanding critical phenomena in quantum systems is crucial.
  • Predicting properties of critical surfaces from flanking phases is a standard approach.

Purpose of the Study:

  • To present novel microscopic models of spin ladders.
  • To investigate spin ladder models exhibiting unusual critical surfaces.
  • To explore phenomena like multiversality and unnecessary criticality.

Main Methods:

  • Microscopic modeling of spin ladders.
  • Abelian bosonization techniques.
  • Density-matrix renormalization-group (DMRG) simulations.

Main Results:

  • Discovered spin ladder models with continuous critical surfaces.
  • Observed critical surfaces whose properties are not inferable from flanking phases.
  • Identified instances of multiversality and unnecessary criticality.

Conclusions:

  • The existence and properties of these critical surfaces are unusual.
  • Multiversality and unnecessary criticality represent novel critical phenomena.
  • Further generalization of these findings is explored.