Shivaji Lal Sondhi

TL;DR: This work proposes that magnetic monopoles emerge in a class of exotic magnets known collectively as spin ice: the dipole moment of the underlying electronic degrees of freedom fractionalises into monopoles, which would account for a mysterious phase transition observed experimentally in spin ice in a magnetic field.

TL;DR: In this paper, a scaling analysis of Josephson-junction arrays and quantum Hall-effect systems is presented, where the authors derive scaling forms for the finite-temperature behavior, which turns out to be described by the theory of finite size scaling.

TL;DR: It is shown that their disordered Floquet many-body localized counterparts can exhibit distinct ordered phases delineated by sharp transitions, and these are analogs of equilibrium states with broken symmetries and topological order.

TL;DR: It is found that the two-dimensional electron gas in a high magnetic field at filling factor ν=1 for an arbitrary ratio of the Zeeman energy gμ B B to the typical interaction energy always has a gap, even when the one-particle gap vanishes.

TL;DR: The quantum dimer model on the triangular lattice is studied, which is expected to describe the singlet dynamics of frustrated Heisenberg models in phases where valence bond configurations dominate their physics, and it is found that there is a truly short ranged resonating valence Bond phase with no gapless excitations and with deconfined, gapped, spinons for a finite range of parameters.