David E. Logan
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View article: Multifractality in high-dimensional graphs induced by correlated radial disorder
Multifractality in high-dimensional graphs induced by correlated radial disorder Open
We introduce a class of models containing robust and analytically demonstrable multifractality induced by disorder correlations. Specifically, we investigate the statistics of eigenstates of disordered tight-binding models on two classes o…
View article: The Fock-space landscape of many-body localisation
The Fock-space landscape of many-body localisation Open
This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space. This appro…
View article: The Fock-space landscape of many-body localisation
The Fock-space landscape of many-body localisation Open
This article reviews recent progress in understanding the physics of many-body localisation (MBL) in disordered and interacting quantum many-body systems, from the perspective of ergodicity breaking on the associated Fock space. This appro…
View article: Probability transport on the Fock space of a disordered quantum spin chain
Probability transport on the Fock space of a disordered quantum spin chain Open
Within the broad theme of understanding the dynamics of disordered quantum many-body systems, one of the simplest questions one can ask is, given an initial state, how does it evolve in time on the associated Fock-space graph, in terms of …
View article: Surface crossing and energy flow in many-dimensional quantum systems
Surface crossing and energy flow in many-dimensional quantum systems Open
Energy flow in molecules, like the dynamics of other many-dimensional finite systems, involves quantum transport across a dense network of near-resonant states. For molecules in their electronic ground state, the network is ordinarily prov…
View article: Probability transport on the Fock space of a disordered quantum spin chain
Probability transport on the Fock space of a disordered quantum spin chain Open
Within the broad theme of understanding the dynamics of disordered quantum many-body systems, one of the simplest questions one can ask is: given an initial state, how does it evolve in time on the associated Fock-space graph, in terms of …
View article: Scaling of the Fock-space propagator and multifractality across the many-body localization transition
Scaling of the Fock-space propagator and multifractality across the many-body localization transition Open
We implement a recursive Green's function method to extract the Fock space (FS) propagator and associated self-energy across the many-body localization (MBL) transition, for one-dimensional interacting fermions in a random on-site potentia…
View article: Anomalous multifractality in quantum chains with strongly correlated disorder
Anomalous multifractality in quantum chains with strongly correlated disorder Open
We demonstrate numerically that a robust and unusual multifractal regime can\nemerge in a one-dimensional quantum chain with maximally correlated disorder,\nabove a threshold disorder strength. This regime is preceded by a mixed and an\nex…
View article: Scaling of Fock-space propagator and multifractality across the many-body localization transition
Scaling of Fock-space propagator and multifractality across the many-body localization transition Open
We implement a recursive Green function method to extract the Fock space (FS) propagator and associated self-energy across the many-body localization (MBL) transition, for one-dimensional interacting fermions in a random onsite potential. …
View article: Localization in quasiperiodic chains: A theory based on convergence of local propagators
Localization in quasiperiodic chains: A theory based on convergence of local propagators Open
Quasiperiodic systems serve as fertile ground for studying localisation, due\nto their propensity already in one dimension to exhibit rich phase diagrams\nwith mobility edges. The deterministic and strongly-correlated nature of the\nquasip…
View article: Fock-space landscapes across the many-body localisation transition
Fock-space landscapes across the many-body localisation transition Open
We explore the Fock-space landscape of eigenstates across the many-body localisation (MBL) transition in a disordered, interacting quantum spin-1/2 chain. Eigenstate expectation values of spatially local observables, which distinguish an M…
View article: Fock-space anatomy of eigenstates across the many-body localisation transition
Fock-space anatomy of eigenstates across the many-body localisation transition Open
We explore the Fock-space structure of eigenstates across the many-body localisation (MBL) transition in a disordered, interacting quantum spin-1/2 chain. Eigenstate expectation values of spatially local observables, which distinguish an M…
View article: Self-consistent theory of mobility edges in quasiperiodic chains
Self-consistent theory of mobility edges in quasiperiodic chains Open
We introduce a self-consistent theory of mobility edges in nearest-neighbor tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localized and extended states in the space of system parameters and energy, mobi…
View article: Localization on Certain Graphs with Strongly Correlated Disorder
Localization on Certain Graphs with Strongly Correlated Disorder Open
Many-body localization in interacting quantum systems can be cast as a disordered hopping problem on the underlying Fock-space graph. A crucial feature of the effective Fock-space disorder is that the Fock-space site energies are strongly …
View article: Fock-space correlations and the origins of many-body localization
Fock-space correlations and the origins of many-body localization Open
We consider the problem of many-body localization on Fock space, focusing on the essential features of the Hamiltonian which stabilize a localized phase. Any many-body Hamiltonian has a canonical representation as a disordered tight-bindin…
View article: Exact solution of a percolation analog for the many-body localization transition
Exact solution of a percolation analog for the many-body localization transition Open
We construct and solve a classical percolation model with a phase transition that we argue acts as a proxy for the quantum many-body localization transition. The classical model is defined on a graph in the Fock space of a disordered, inte…
View article: Report on 1903.04851v1
Report on 1903.04851v1 Open
Many-body localisation is studied in a disordered quantum spin-1/2 chain with long-ranged power-law interactions, and distinct power-law exponents for interactions between longitudinal and transverse spin components.Using a selfconsistent …
View article: Percolation in Fock space as a proxy for many-body localization
Percolation in Fock space as a proxy for many-body localization Open
We study classical percolation models in Fock space as proxies for the\nquantum many-body localisation (MBL) transition. Percolation rules are defined\nfor two models of disordered quantum spin-chains using their microscopic\nquantum Hamil…
View article: Many-body localization in Fock space: A local perspective
Many-body localization in Fock space: A local perspective Open
A canonical model for many-body localization (MBL) is studied, of interacting spinless fermions on a lattice with uncorrelated quenched site-disorder. The model maps onto a tight-binding model on a `Fock-space (FS) lattice' of many-body st…
View article: Mott insulators and the doping-induced Mott transition within DMFT: exact results for the one-band Hubbard model
Mott insulators and the doping-induced Mott transition within DMFT: exact results for the one-band Hubbard model Open
The paramagnetic phase of the one-band Hubbard model is studied at zero-temperature, within the framework of dynamical mean-field theory, and for general particle-hole asymmetry where a doping-induced Mott transition occurs. Our primary fo…
View article: Quasiparticle interference from magnetic impurities
Quasiparticle interference from magnetic impurities Open
Fourier transform scanning tunneling spectroscopy (FT-STS) measures the\nscattering of conduction electrons from impurities and defects, giving\ninformation about the electronic structure of both the host material and\nadsorbed impurities.…
View article: Multiple magnetic impurities on surfaces: Scattering and quasiparticle interference
Multiple magnetic impurities on surfaces: Scattering and quasiparticle interference Open
We study systems of multiple interacting quantum impurities deposited on a metallic surface in a three-dimensional host. For the real-space two-impurity problem, using numerical renormalization group calculations, a rich range of behavior …