376 citations · 6.3k across the 169 of their papers we have counts for
7 papers · 1 filter
Bond Algebras and Exact Solvability of Hamiltonians: Spin S=1/2 Multilayer Systems and Other Curiosities
Zohar Nussinov, Gerardo Ortiz
We introduce an algebraic methodology for designing exactly-solvable Lie model Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We illustrate…
Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
Flavio S. Nogueira, Zohar Nussinov
We derive an extended lattice gauge theory type action for quantum dimer models and relate it to the height representations of these systems. We examine the system in two and three…
Multiresolution community detection for megascale networks by information-based replica correlations
Peter Ronhovde, Zohar Nussinov
We use a Potts model community detection algorithm to accurately and quantitatively evaluate the hierarchical or multiresolution structure of a graph. Our multiresolution algorithm…
Torsional oscillators and the entropy dilemma of putative supersolid He-4
M. J. Graf, A. V. Balatsky, Z. Nussinov +2
Solid He-4 is viewed as a nearly perfect Debye solid. Yet, recent calorimetry measurements by the PSU group (J. Low Temp. Phys. 138, 853 (2005) and Nature 449, 1025 (2007)) indicat…
Local resolution-limit-free Potts model for community detection
Peter Ronhovde, Zohar Nussinov
We report on an exceptionally accurate spin-glass-type Potts model for community detection. With a simple algorithm, we find that our approach is at least as accurate as the best c…
Conservation and persistence of spin currents and their relation to the Lieb-Schulz-Mattis twist operators
N. Bray-Ali, Z. Nussinov
Systems with spin-orbit coupling do not conserve "bare" spin current . A recent proposal for a conserved spin current [J. Shi {\it et.al} Phys. Rev. Lett. {\bf 96}…
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…