We present a unifying framework to study physical systems which exhibit topological
quantum order (TQO). The major guiding principle behind our approach is that of …

We prove sufficient conditions for Topological Quantum Order at zero and finite
temperatures. The crux of the proof hinges on the existence of low-dimensional Gauge-Like …

We present an algebraic methodology for designing exactly solvable Lie model
Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We …

We investigate the neutral-to-ionic insulator-insulator transition in one-dimensional materials
by treating a strong-coupling effective model based on the ionic Hubbard model using the …

We derive the exact ground states for a one-dimensional family of S= 1/2 XXZ Hamiltonians
on the zigzag ladder. These states exhibit true long-range spiral order that spontaneously …

We report new magnetization measurements on the spin-gap compound NiCl 2-4 SC (NH 2)
2 at the low-field boundary of the magnetic field-induced ordering. The critical density of the …

An analysis of the energy spectrum and magnetization curve of the two-dimensional organic
antiferromagnet F 2 PNNNO with a spin-one dimerized structure shows that the behavior of …

Quantum systems with strong electron interactions and nanosystems can possess a more
complicated internal Lie-group dynamics in comparison with the Lie-group dynamics of …

The pairwise entanglement, measured by concurrence and geometric phase in high
dimensional free-Fermion lattice systems have been studied in this paper. When the system …

We derive the exact ground states for a one dimensional family of $ S= 1/2$ XXZ
Hamiltonians on the zigzag ladder. These states exhibit true long range spiral order that …