activity
20122023
most citedFractional Quantum Hall Effect in a Curved Space: Gravitational Anomaly and Electromagnetic Response

146 citations · 895 across the 23 of their papers we have counts for

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Showing cond-mat.str-elShow all

7 papers · 1 filter

cond-mat.str-el2016★ 32 cited

Particle-Hole Duality in the Lowest Landau Level

Dung Xuan Nguyen, Tankut Can, Andrey Gromov

We derive a number of exact relations between response functions of holomorphic, chiral fractional quantum Hall states and their particle-hole (PH) conjugates. These exact relation…

cond-mat.str-el2016★ 6 cited

Central charge from adiabatic transport of cusp singularities in the quantum Hall effect

Tankut Can

We study quantum Hall (QH) states on a punctured Riemann sphere. We compute the Berry curvature under adiabatic motion in the moduli space in the large N limit. The Berry curvature…

cond-mat.str-el2016★ 54 cited

Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces

M. Laskin, Y. H. Chiu, T. Can +1

We show that quantum Hall states on surfaces with conical singularities behave as conformal primaries near the singular points, with a conformal dimension controlled by the gravita…

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★ 79 cited

Geometry of Quantum Hall States: Gravitational Anomaly and Kinetic Coefficients

T. Can, M. Laskin, P. Wiegmann

We show that universal transport coefficients of the fractional quantum Hall effect (FQHE) can be understood as a response to variations of spatial geometry. Some transport propert…

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★ 28 cited

Singular Behavior At The Edge of Laughlin States

T. Can, P. J. Forrester, G. Téllez +1

A distinguishing feature of fractional quantum Hall (FQH) states is a singular behavior of equilibrium densities at boundaries. In contrast to states at integer filling fraction, s…