5 citations · 6 across the 12 of their papers we have counts for
12 papers
Dual Gauge Theory for Two Dimensional Superfluid Turbulence
Tobias Helbig, Sayak Bhattacharjee, Srinivas Raghu
We describe turbulent hydrodynamics of superfluids in two spatial dimensions via the dynamics of point-like vortices coupled to an emergent 2+1 dimensional gauge field. The…
Anyon Crystals and Hall Crystals in a Periodic Potential
Sayak Bhattacharjee, Julian May-Mann, Srinivas Raghu
We obtain integer and fractional quantum Hall crystals as ground states of a two-dimensional electron system subject to a strong perpendicular magnetic field and a periodic potenti…
Quantum turbulence in the many-body regime
Sayak Bhattacharjee, Mahendra K. Verma, Alexander V. Balatsky +1
We discuss phenomenology associated with turbulent hydrodynamics in quantum fluids from a condensed-matter perspective. We begin with weakly-interacting superfluids, often modeled…
Conserving relaxation-time approximation for electron-electron collisions
Sayak Bhattacharjee, Tatia Kiliptari, Dmitrii L. Maslov
We develop a conserving relaxation-time approximation (cRTA) based on an explicit energy-resolved projection onto the full space of collision invariants. Our cRTA retains the energ…
Mesoscopic transport in a Chern mosaic
Sayak Bhattacharjee, Julian May-Mann, Yves H. Kwan +2
We analyze mesoscopic electronic transport in a Chern mosaic: a regular pattern of domains whose electronic bands carry differing local Chern numbers. An example platform where a C…
Composite boson theory of Hall crystals and their transitions to Wigner crystals
Julian May-Mann, Sayak Bhattacharjee, Srinivas Raghu
We consider the crystallization of a two-dimensional electron system in a perpendicular magnetic field using composite boson theory. There are three possible states to consider: th…
Tunable anyonic permeability across spin liquid junctions
Sayak Bhattacharjee, Soumya Sur, Adhip Agarwala
We introduce two classes of junctions in a toric code, a prototypical model of a quantum spin liquid, and study the nature of anyonic transport across them mediated…
Absorbing state transitions with long-range annihilation
Nicholas O'Dea, Sayak Bhattacharjee, Sarang Gopalakrishnan +1
We introduce a family of classical stochastic processes describing diffusive particles undergoing branching and long-range annihilation in the presence of a parity constraint. The…
Density-and-phase domain walls in a condensate with dynamical gauge potentials
Sayak Bhattacharjee, Roderich Moessner, Shovan Dutta
We show how one can generate domain walls that separate high- and low-density regions with opposite momenta in the ground state of a harmonically trapped Bose-Einstein condensate u…
Rational distance sets on a parabola using Pythagorean triplets
Sayak Bhattacharjee, Divyam Jain
We study -point rational distance sets () on the parabola . Previous approaches to the problem include efforts made using elliptic curves and diophantine…
Green's Functions For Random Resistor Networks
Sayak Bhattacharjee, Kabir Ramola
We analyze random resistor networks through a study of lattice Green's functions in arbitrary dimensions. We develop a systematic disorder perturbation expansion to describe the we…
Periodic orbits in deterministic discrete-time evolutionary game dynamics: An information-theoretic perspective
Sayak Bhattacharjee, Vikash Kumar Dubey, Archan Mukhopadhyay +1
Even though existence of non-convergent evolution of the states of populations in ecological and evolutionary contexts is an undeniable fact, insightful game-theoretic interpretati…