activity
19932018
most citedQuantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations

268 citations · 654 across the 10 of their papers we have counts for

collaborators

10 papers

physics.flu-dyn2018★ 30 cited

Edge wave and boundary layer of vortex matter

Alexander Bogatskiy, Paul Wiegmann

We show that a vortex matter, that is a dense assembly of vortices in an incompressible two-dimensional flow, such as a fast rotating superfluid or turbulent flows with sign-like e…

hep-th2017★ 8 cited

Quantum Hall States and Conformal Field Theory on a Singular Surface

T. Can, P. Wiegmann

In [Can et al. 2016], quantum Hall states on singular surfaces were shown to possess an emergent conformal symmetry. In this paper, we develop this idea further and flesh out detai…

cond-mat.str-el2014★ 35 cited

Collective Field Theory for Quantum Hall States

M. Laskin, T. Can, P. Wiegmann

We develop a collective field theory for fractional quantum Hall (FQH) states. We show that in the leading approximation for a large number of particles, the properties of Laughlin…

cond-mat.str-el2014★ 146 cited

Fractional Quantum Hall Effect in a Curved Space: Gravitational Anomaly and Electromagnetic Response

T. Can, M. Laskin, P. Wiegmann

We develop a general method to compute correlation functions of fractional quantum Hall (FQH) states on a curved space. In a curved space, local transformation properties of FQH st…

cond-mat.str-el2013★ 21 cited

Anomalous Hydrodynamics of Fractional Quantum Hall States

P. Wiegmann

In this paper we propose a comprehensive framework for the quantum hydrodynamics of the Fractional Quantum Hall (FQH) states. We suggest that the electronic fluid in the FQH regime…

cond-mat.mes-hall2012★ 48 cited

Non-Linear hydrodynamics and Fractionally Quantized Solitons at Fractional Quantum Hall Edge

P. Wiegmann

We argue that dynamics of gapless Fractional Quantum Hall Edge states is essentially non-linear and that it features fractionally quantized solitons propagating along the edge. Obs…