Spin Supersolid in Anisotropic Spin-One Heisenberg Chain (2007)
Sengupta, Pinaki, Batista, Cristian D.
We consider an S=1 Heisenberg chain with strong exchange (Delta) and single--ion uniaxial anisotropy (D) in a magnetic field (B) along the symmetry axis. The low energy spectrum is described by an...
A Quantum Approach to Classical Statistical Mechanics (2006)
Somma, Rolando D., Batista, Cristian D., Ortiz, Gerardo
We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum...
Nussinov, Zohar, Batista, Cristian D., Fradkin, Eduardo
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...
Generalized Elitzur's Theorem and Dimensional Reduction (2004)
Batista, Cristian D., Nussinov, Zohar
We extend Elitzur's theorem to systems with symmetries intermediate between global and local. In general, our theorem formalizes the idea of {\it dimensional reduction}. We apply the results of this...
Hierarchical Mean-Field Theories (2004)
Ortiz, Gerardo, Batista, Cristian D.
We present a systematic and reliable methodology, termed hierarchical mean-field theory (HMFT), to study and predict the behavior of strongly coupled many-particle systems. HMFT is a simple...