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19922023
most citedLocalization transitions in non-Hermitian quantum mechanics

1.5k citations · 11.4k across the 134 of their papers we have counts for

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8 papers · 1 filter

cond-mat.supr-con2007

Effects of kinked linear defects on planar flux line arrays

Eleni Katifori, David R. Nelson

In the hard core limit, interacting vortices in planar type II superconductors can be modeled as non-interacting one dimensional fermions propagating in imaginary time. We use this…

cond-mat.supr-con2004★ 36 cited

Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors

Ian Affleck, Walter Hofstetter, David R. Nelson +1

As a model of thermally excited flux liquids connected by a weak link, we study the effect of a single line defect on vortex filaments oriented parallel to the surface of a thin pl…

cond-mat.supr-con2001★ 6 cited

Vortex wandering in a forest of splayed columnar defects

Jack Lidmar, David R. Nelson, Denis A. Gorokhov

We investigate the scaling properties of single flux lines in a random pinning landscape consisting of splayed columnar defects. Such correlated defects can be injected into Type I…

cond-mat.supr-con2001★ 11 cited

Interaction effects in non-Hermitian models of vortex physics

Kihong Kim, David R. Nelson

Vortex lines in superconductors in an external magnetic field slightly tilted from randomly-distributed parallel columnar defects can be modeled by a system of interacting bosons i…

cond-mat.supr-con1999★ 17 cited

Vortex Physics in Confined Geometries

M. Cristina Marchetti, David R. Nelson

Patterned irradiation of cuprate superconductors with columnar defects allows a new generation of experiments which can probe the properties of vortex liquids by forcing them to fl…

cond-mat.supr-con1999★ 7 cited

B(H) Constitutive Relations Near H_c1 in Disordered Superconductors

Raphael A. Lehrer, David R. Nelson

We provide a self-contained account of the B vs. H constitutive relation near H_c1 in Type II superconductors with various types of quenched random disorder. The traditional Abriko…

cond-mat.supr-con1999★ 17 cited

Patterned Geometries and Hydrodynamics at the Vortex Bose Glass Transition

M. Cristina Marchetti, David R. Nelson

Patterned irradiation of cuprate superconductors with columnar defects allows a new generation of experiments which can probe the properties of vortex liquids by confining them to…

cond-mat.supr-con1996★ 49 cited

Superfluid Bosons and Flux Liquids: Disorder, Thermal Fluctuations, and Finite-Size Effects

Uwe C. Täuber, David R. Nelson

The influence of different types of disorder (both uncorrelated and correlated) on the superfluid properties of a weakly interacting or dilute Bose gas, as well as on the correspon…