Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2008-01-29
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 1 figure (to appear in Europhysics Letters)
Scientific paper
10.1209/0295-5075/84/36005
Charge, spin, and orbital degrees of freedom underlie the physics of transition metal compounds. Much work has revealed quantum critical points associated with spin and charge degrees of freedom in many of these systems. Here we illustrate that the simplest models that embody the orbital degrees of freedom - the two- and three-dimensional quantum orbital compass models - exhibit an exact quantum critical behavior on diluted square and cubic lattices (with a doping fraction of 1/4 and 1/2 respectively). This raises the possibility of quantum critical points triggered by the degradation of orbital order upon doping (or applying pressure to) such transition metal systems. We prove the existence of an orbital spin glass in several related systems in which the orbital couplings are made non-uniform. Moreover, a new orbital Larmor precession (i.e., a periodic change in the orbital state) is predicted when uniaxial pressure is applied.
Nussinov Zohar
Ortiz Gerardo
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