BaV3O8: A possible Majumdar-Ghosh system withS=12

Localization of spinons in random Majumdar-Ghosh chains.

We study the effect of disorder on frustrated dimerized spin-1/2 chains at the Majumdar-Ghosh point. Using variational methods and density-matrix renormalization group approaches, we identify two localization mechanisms for spinons which are the deconfined fractional elementary excitations of these chains. The first one belongs to the Anderson localization class and dominates at the random Maju...

Recursion method and one-hole spectral function of the Majumdar-Ghosh model

We consider the application of the recursion method to the calculation of one-particle Green’s functions for strongly correlated systems and propose a new way how to extract the information about the infinite system from the exact diagonalisation of small clusters. Comparing the results for several cluster sizes allows us to establish those Lanczos coefficients that are not affected by the fini...

The Matrix Product Formalism and the Generalization of Majumdar-Ghosh Model to Arbitrary Spins

We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix product ground states for quantum spin chains of arbitrary spin with nearest and next-nearest neighbor interactions. The ground states of these quantum spin chains are doubly degenerate and are in the f...

Construction of Sources for Majumdar-Papapetrou Spacetimes

We study Majumdar-Papapetrou solutions for the 3+1 Einstein-Maxwell equations, with charged dust acting as the external source for the fields. The spherically symmetric solution of Gürses is considered in detail. We introduce new parameters that simplify the construction of class C1, singularity-free geometries. The arising sources are bounded or unbounded, and the redshift of light signals all...

Ghosh and Deare's Materia Medica