315 citations · 3.1k across the 59 of their papers we have counts for
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cond-mat.stat-mech2010★ 15 cited
Real-space renormalization group for the transverse-field Ising model in two and three dimensions
Ryoji Miyazaki, Hidetoshi Nishimori, Gerardo Ortiz
The two- and three-dimensional transverse-field Ising models with ferromagnetic exchange interactions are analyzed by means of the real-space renormalization group method. The basi…
cond-mat.supr-con2010★ 13 cited
Superconductivity in strongly repulsive fermions: the role of kinetic-energy frustration
L. Isaev, G. Ortiz, C. D. Batista
We discuss a physical mechanism of a non-BCS nature which can stabilize a superconducting state in a {\it strongly repulsive} electronic system. By considering the two-dimensional…
quant-ph2010★ 39 cited
Adiabatic Perturbation Theory and Geometric Phases for Degenerate Systems
Gustavo Rigolin, Gerardo Ortiz
We introduce an adiabatic perturbation theory for quantum systems with degenerate energy spectra. This perturbative series enables one to rigorously establish conditions for the va…