TIFR Annual Report 2003-04 THEORETICAL PHYSICS Condensed Matter and Statistical Physics
نویسنده
چکیده
A variational formulation of the d-wave superconducting ground state and low-lying excitations in doped Mott insulators was developed building on early resonating valence bond ideas of P. W, Anderson. Analytical approximation schemes were developed to gain further insights into our recent variational Monte Carlo results. The effect of disorder on a two-dimensional Mott insulator was studied and found to produce a new metallic phase. The novel metal was shown to be spatially inhomogeneous and coexisting with long range antiferromagnetic order.
منابع مشابه
TIFR Annual Report 2006-07 THEORETICAL PHYSICS Condensed Matter and Statistical Physics HIGHLIGHTS
It was shown that the model of straight hard rod with only hard core interactions, the prototypical model of nematic liquids, shows a second phase transition from the nematic to disordered phase, as the density of rods is increased. The generic behaviour of sandpile models with sticky grains was studied using much longer simulations than before, showing that these are in the universality class ...
متن کاملTIFR Annual Report 2009-10 THEORETICAL PHYSICS Condensed Matter and Statistical Physics HIGHLIGHTS
A number of systems composed of hard objects on continuous lines were studied for their tendency to order with increasing density, by mapping to equivalent systems of classical interacting spins. A system of disks centred on either of two close-by parallel lines was shown to map exactly to a 1-D antiferromagnetic model, needle-like objects on a line mapped to Ising-like models, and objects with...
متن کاملTIFR Annual Report 2001-02 THEORETICAL PHYSICS Condensed Matter and Statistical Physics
A important open question in this field has been the question of classification of different universality classes of sandpile models. Since the avalanche activity in sandpile models can grow, diffuse and die, they fall the general class of reaction diffusion systems. It is expected to fall in the universality class of active-inactive transition with many absorbing states. It was shown that the ...
متن کاملTIFR Annual Report 2008-09 THEORETICAL PHYSICS Condensed Matter and Statistical Physics HIGHLIGHTS
Patterns produced by adding grains at a single site on a flat substrate in sandpile models provide nice examples of complex patterns produced from simple deterministic local nonlinear evolution rules. The authors have earlier studied some of the patterns in abelian sandpile models on the two-dimensional Manhattan lattice and the F-lattice. These results were extended to the case with multiple s...
متن کاملTIFR Annual Report 2005-06 THEORETICAL PHYSICS Condensed Matter and Statistical Physics
Random trimer tilings of a square lattice were studied. Exact numerical diagonalization of transfer matrices was used to determine the correlation length of the system for tilings of cylinders of width up to 24 lattice spacings. It was found that the correlation length grows linearly with width of the cylinder. The random trimer tilings on a plane with open boundary conditions admit a height re...
متن کامل