398 citations · 7.9k across the 149 of their papers we have counts for
4 papers · 1 filter
Hierarchical Mean-Field Theories in Quantum Statistical Mechanics
G. Ortiz, C. D. Batista
We present a theoretical framework and a calculational scheme to study the coexistence and competition of thermodynamic phases in quantum statistical mechanics. The crux of the met…
Spin-Particle Connections
C. D. Batista, G. Ortiz
This is a topical review on the generalization of the Jordan-Wigner transformations to any spin and spatial dimensions.
Electronic Ferroelectricity in the Falicov-Kimball Model
C. D. Batista
I show that a spontaneous electric polarization is developed in the solution of the Falicov-Kimball model (FKM) by mapping the strong coupling limit of the model into an spin…
Algebraic Approach to Interacting Quantum Systems
C. D. Batista, G. Ortiz
We present an algebraic framework for interacting extended quantum systems to study complex phenomena characterized by the coexistence and competition of different states of matter…