315 citations · 3.1k across the 59 of their papers we have counts for
17 papers · 1 filter
Fusion mechanism for quasiparticles and topological quantum order in the lowest Landau level
Arkadiusz Bochniak, Gerardo Ortiz
Starting from Halperin multilayer systems we develop a hierarchical scheme that generates, bosonic and fermionic, single-layer quantum Hall states (or vacua) of arbitrary filling f…
Partons as unique ground states of quantum Hall parent Hamiltonians: The case of Fibonacci anyons
M. Tanhayi Ahari, S. Bandyopadhyay, Z. Nussinov +2
We present microscopic, multiple Landau level, (frustration-free and positive semi-definite) parent Hamiltonians whose ground states, realizing different quantum Hall fluids, are p…
Staircase of crystal phases of hard-core bosons on the Kagome lattice
Daniel Huerga, Sylvain Capponi, Jorge Dukelsky +1
We study the quantum phase diagram of a system of hard-core bosons on the Kagome lattice with nearest-neighbor repulsive interactions, for arbitrary densities, by means of the hier…
Composite fermion-boson mapping for fermionic lattice models
Jinmo Zhao, Carlos A. Jimenez-Hoyos, Gustavo E. Scuseria +4
We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic operators. The mapping is an exact isomorphism as long as the physical…
Zero modes, Bosonization and Topological Quantum Order: The Laughlin State in Second Quantization
Tahereh Mazaheri, Gerardo Ortiz, Zohar Nussinov +1
We introduce a "second-quantized" representation of the ring of symmetric functions to further develop a purely second-quantized -- or "lattice" -- approach to the study of zero mo…
Chiral phases of two-dimensional hard-core bosons with frustrated ring-exchange
Daniel Huerga, Jorge Dukelsky, Nicolas Laflorencie +1
We study the zero temperature phase diagram of two-dimensional hard-core bosons on a square lattice with nearest neighbour and plaquette (ring-exchange) hoppings, at arbitrary dens…
Repulsive Interactions in Quantum Hall Systems as a Pairing Problem
Gerardo Ortiz, Zohar Nussinov, Jorge Dukelsky +1
A subtle relation between Quantum Hall physics and the phenomenon of pairing is unveiled. By use of second quantization, we establish a connection between (i) a broad class of rota…
Local physics of magnetization plateaux in the Shastry-Sutherland model
L. Isaev, G. Ortiz, J. Dukelsky
We address the physical mechanism responsible for the emergence of magnetization plateaux in the Shastry-Sutherland model. By using a hierarchical mean-field approach we demonstrat…
Field Induced Orbital Antiferromagnetism in Mott Insulators
K. A. Al-Hassanieh, C. D. Batista, G. Ortiz +1
We report on a new electromagnetic phenomenon that emerges in Mott insulators, i.e., materials that do not conduct electricity because of strong electronic Coulomb repulsion. The p…
Phase diagram of the Heisenberg antiferromagnet with four-spin interactions
L. Isaev, G. Ortiz, J. Dukelsky
We study the quantum phase diagram of the Heisenberg planar antiferromagnet with a subset of four-spin ring exchange interactions, using the recently proposed heirarchical mean-fie…
Ferrotoroidic Moment as a Quantum Geometric Phase
C. D. Batista, G. Ortiz, A. A. Aligia
We present a geometric characterization of the ferrotoroidic moment in terms of a set of Abelian Berry phases. We also introduce a fundamental complex quantity which provides an al…
Orbital order driven quantum criticality
Zohar Nussinov, Gerardo Ortiz
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 degr…
A symmetry principle for Topological Quantum Order
Zohar Nussinov, Gerardo Ortiz
We present a unifying framework to study physical systems which exhibit topological quantum order (TQO). The guiding principle behind our approach is that of symmetries and entangl…
Stripes, topological order, and deconfinement in a planar t-Jz model
J. Smakov, C. D. Batista, G. Ortiz
We determine the quantum phase diagram of a two-dimensional bosonic t-Jz model as a function of the lattice anisotropy gamma, using a quantum Monte Carlo loop algorithm. We show an…
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…
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…
Generalized Jordan-Wigner Transformations
C. D. Batista, G. Ortiz
We introduce a new spin-fermion mapping, for arbitrary spin generating the SU(2) group algebra, that constitutes a natural generalization of the Jordan-Wigner transformation fo…