Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-10-28
Phys. Rev. B 71, 195120 (2005)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages, 5 figures
Scientific paper
10.1103/PhysRevB.71.195120
We study the spin- 1/2 two and three dimensional Orbital Compass Models relevant to the problem of orbital ordering in transition metal oxides. We show that these systems display self-dualities and novel (gauge-like) discrete sliding symmetries. An important and surprising consequence is that these models are dual to (seemingly unrelated) recently studied models of p+ip superconducting arrays. The duality transformations are constructed by means of a path-integral representation in discretized imaginary time and considering its Z_{2} spatial reflection symmetries and space-time discrete rotations, we obtain, in a transparent unified geometrical way, several dualities. We also introduce an alternative construction of the duality transformations using operator identities. We discuss the consequences of these dualities for the order parameters and phase transitions of the orbital compass model and its generalizations, and apply these ideas to a number of related systems.
Fradkin Eduardo
Nussinov Zohar
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