486 citations · 7.2k across the 96 of their papers we have counts for
17 papers · 1 filter
Local resonances and parametric level dynamics in the many-body localised phase
S. J. Garratt, Sthitadhi Roy, J. T. Chalker
By varying the disorder realisation in the many-body localised (MBL) phase, we investigate the influence of resonances on spectral properties. The standard theory of the MBL phase…
Quantum Hall network models as Floquet topological insulators
Andrew C. Potter, J. T. Chalker, Victor Gurarie
Network models for equilibrium integer quantum Hall (IQH) transitions are described by unitary scattering matrices, that can also be viewed as representing non-equilibrium Floquet…
Percolation in Fock space as a proxy for many-body localisation
Sthitadhi Roy, J. T. Chalker, David E. Logan
We study classical percolation models in Fock space as proxies for the quantum many-body localisation (MBL) transition. Percolation rules are defined for two models of disordered q…
Exact solution of a percolation analogue for the many-body localisation transition
Sthitadhi Roy, David E. Logan, J. T. Chalker
We construct and solve a classical percolation model with a phase transition that we argue acts as a proxy for the quantum many-body localisation transition. The classical model is…
Mott, Floquet, and the response of periodically driven Anderson insulators
Dillon T. Liu, J. T. Chalker, Vedika Khemani +1
We consider periodically driven Anderson insulators. The short time behavior for weak, monochromatic, uniform electric fields is given by linear response theory and was famously de…
Spin quantum Hall effect and plateau transitions in multilayer network models
J. T. Chalker, M. Ortuño, A. M. Somoza
We study the spin quantum Hall effect and transitions between Hall plateaus in quasi two-dimensional network models consisting of several coupled layers. Systems exhibiting the spi…
Anderson localisation in tight-binding models with flat bands
J. T. Chalker, T. S. Pickles, Pragya Shukla
We consider the effect of weak disorder on eigenstates in a special class of tight-binding models. Models in this class have short-range hopping on periodic lattices; their definin…
Spin glass transition in geometrically frustrated antiferromagnets with weak disorder
A. Andreanov, J. T. Chalker, T. E. Saunders +1
We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models…
Caustic formation in expanding condensates of cold atoms
J. T. Chalker, B. Shapiro
We study the evolution of density in an expanding Bose-Einstein condensate that initially has a spatially varying phase, concentrating on behaviour when these phase variations are…
Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
V. Gurarie, G. Refael, J. T. Chalker
We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed unde…
Bosonic Excitations in Random Media
V. Gurarie, J. T. Chalker
We consider classical normal modes and non-interacting bosonic excitations in disordered systems. We emphasise generic aspects of such problems and parallels with disordered, non-i…
A Farewell to Liouvillians
Vadim Oganesyan, J. T. Chalker, S. L. Sondhi
We examine the Liouvillian approach to the quantum Hall plateau transition, as introduced recently by Sinova, Meden, and Girvin [Phys. Rev. B {\bf 62}, 2008 (2000)] and developed b…
Some generic aspects of bosonic excitations in disordered systems
V. Gurarie, J. T. Chalker
We consider non-interacting bosonic excitations in disordered systems, emphasising generic features of quadratic Hamiltonians in the absence of Goldstone modes. We discuss relation…
The two-dimensional random-bond Ising model, free fermions and the network model
F. Merz, J. T. Chalker
We develop a recently-proposed mapping of the two-dimensional Ising model with random exchange (RBIM), via the transfer matrix, to a network model for a disordered system of non-in…
Statistical properties of eigenvectors in non-Hermitian Gaussian random matrix ensembles
B. Mehlig, J. T. Chalker
Statistical properties of eigenvectors in non-Hermitian random matrix ensembles are discussed, with an emphasis on correlations between left and right eigenvectors. Two approaches…
Eigenvector statistics in non-Hermitian random matrix ensembles
J. T. Chalker, B. Mehlig
We study statistical properties of the eigenvectors of non-Hermitian random matrices, concentrating on Ginibre's complex Gaussian ensemble, in which the real and imaginary parts of…
Diffusion in a Random Velocity Field: Spectral Properties of a Non-Hermitian Fokker-Planck Operator
J. T. Chalker, Z. Jane Wang
We study spectral properties of the Fokker-Planck operator that describes particles diffusing in a quenched random velocity field. This random operator is non-Hermitian and has eig…