From exotic phases to microscopic Hamiltonians

R. Moessner, K. S. Raman, Shivaji Lal Sondhi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

We report recent analytical progress in the quest for spin models realising exotic phases. We focus on the question of 'reverse-engineering' a local, SU(2) invariant S=1/2 Hamiltonian to exhibit phases predicted on the basis of effective models, such as large-N or quantum dimer models. This aim is to provide a point-of-principle demonstration of the possibility of constructing such microscopic lattice Hamiltonians, as well as to complement and guide numerical (and experimental) approaches to the same question. In particular, we demonstrate how to utilise peturbed Klein Hamiltonians to generate effective quantum dimer models. These models use local multi-spin interactions and, to obtain a controlled theory, a decoration procedure involving the insertion of Majumdar-Ghosh chainlets on the bonds of the lattice. The phases we thus realise include deconfined resonating valence bond liquids, a devil's staircase of interleaved phases which exhibits Cantor deconfinement, as well as a three-dimensional U(1) liquid phase exhibiting photonic excitations.

Original languageEnglish (US)
Title of host publicationEffective Models for Low-Dimensional Strongly Correlated Systems
PublisherAmerican Institute of Physics Inc.
Pages30-40
Number of pages11
ISBN (Print)0735403090, 9780735403093
DOIs
StatePublished - Feb 15 2006
EventEffective Models for Low-Dimensional Strongly Correlated Systems - Peyresq, France
Duration: Sep 12 2005Sep 16 2005

Publication series

NameAIP Conference Proceedings
Volume816
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherEffective Models for Low-Dimensional Strongly Correlated Systems
CountryFrance
CityPeyresq
Period9/12/059/16/05

All Science Journal Classification (ASJC) codes

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Keywords

  • Dimer models
  • Klein models
  • Magnetism

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    Moessner, R., Raman, K. S., & Sondhi, S. L. (2006). From exotic phases to microscopic Hamiltonians. In Effective Models for Low-Dimensional Strongly Correlated Systems (pp. 30-40). (AIP Conference Proceedings; Vol. 816). American Institute of Physics Inc.. https://doi.org/10.1063/1.2178029