Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-02-23
Physics
Condensed Matter
Strongly Correlated Electrons
(10 pages, 3 figures; Proceedings of the 13th Quantum Many Body Theory (QMBT 13) Conference, Buenos Aires, December 2005)
Scientific paper
10.1142/S0217979206036326
We discuss symmetries intermediate between global and local and formalize the notion of dimensional reduction adduced from such symmetries. We apply this generalization to several systems including liquid crystalline phases of Quantum Hall systems, transition metal orbital systems, frustrated spin systems, (p+ip) superconducting arrays, and sliding Luttinger liquids. By considering space-time reflection symmetries, we illustrate that several of these systems are dual to each other. In some systems exhibiting these symmetries, low temperature local orders emerge by an "order out of disorder" effect while in other systems, the dimensional reduction precludes standard orders yet allows for multiparticle orders (including those of a topological nature).
Batista Cristian D.
Fradkin Eduardo
Nussinov Zohar
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