Shivaji Lal Sondhi

TL;DR: In this article, the authors consider the breakdown of conformal and scale invariance in random systems with strongly random critical points and provide an example of a three-dimensional system which has a strong random critical point.

TL;DR: In this paper, the authors studied edge dynamics in the presence of interlayer tunneling, parallel magnetic field, and various types of disorder for two infinite sequences of quantum Hall states in symmetric bilayers.

TL;DR: In this article, the authors consider the problem of the doped Ising antiferromagnet on the frustrated triangular lattice in the limit where the hole kinetic energy is much smaller than the Ising exchange and show that the ground state is magnetized and breaks translational symmetry.

TL;DR: In this article, the authors point out that their models are doubly problematic: they are unrealizable and violate well established principles for defining phases of matter, and one of their models is highly unstable and another amounts to isolating, via fine tuning, a single degree of freedom in a many body system.

TL;DR: In this article, the authors studied a one-dimensional chain of corner-sharing triangles with antiferromagnetic Ising interactions along its bonds and showed that the introduction of a quantum dynamics via a transverse magnetic field removes the entropy and opens a gap, but leaves the ground state disordered at all values of the transverse field, thereby providing a particularly simple realization of the ''disorder by disorder'' scenario first proposed by Fazekas and Anderson in their search for resonating valence bond states.