303 citations · 913 across the 44 of their papers we have counts for
14 papers · 1 filter
Evading Anderson localization in a one-dimensional conductor with correlated disorder
Onuttom Narayan, Harsh Mathur, Richard Montgomery
We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size i…
Symmetry breaking, strain solitons and mechanical edge modes in monolayer antimony
Joshua Chiel, Harsh Mathur, Onuttom Narayan
Two-dimensional materials exhibit a variety of mechanical instabilities accompanied by spontaneous symmetry breaking. Here we develop a continuum description of the buckling instab…
Topological Modes in One Dimensional Solids and Photonic Crystals
Timothy J. Atherton, Celia A. M. Butler, Melita C. Taylor +4
It is shown theoretically that a one-dimensional crystal with time reversal symmetry is characterized by a Z_{2} topological invariant that predicts the existence or otherwise of e…
Level Spacings in Random Matrix Theory and Coulomb Blockade Peaks in Quantum Dots
D. Herman, T. T. Ong, Gonzalo Usaj +2
We obtain analytic formulae for the spacing between conductance peaks in the Coulomb blockade regime, based on the universal Hamiltonian model of quantum dots. New random matrix th…
Ballistic Quantum Dots with Disorder and Interactions: A numerical study on the Robnik-Berry billiard
Ganpathy Murthy, R. Shankar, Harsh Mathur
In previous work we have found a regime in ballistic quantum dots where interelectron interactions can be treated asymptotically exactly as the Thouless number of the dot becom…
Influence of a Mesoscopic Bath on Quantum Coherence
Onuttom Narayan, Harsh Mathur
For a quantum double well system interacting with a mesoscopic bath, it is shown that a single particle in the bath is sufficient to substantially reduce tunneling between the two…
A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade
Ganpathy Murthy, R. Shankar, Damir Herman +1
We provide a framework for analyzing the problem of interacting electrons in a ballistic quantum dot with chaotic boundary conditions within an energy (the Thouless energy) o…
Diamagnetic Persistent Currents and Spontaneous Time-Reversal Symmetry Breaking in Mesoscopic Structures
Damir Herman, Harsh Mathur, Ganpathy Murthy
Recently, new strongly interacting phases have been uncovered in mesoscopic systems with chaotic scattering at the boundaries by two of the present authors and R. Shankar. This ana…
Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions
Ganpathy Murthy, Harsh Mathur
Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-par…
Random Berry Phase Magnetoresistance as a Probe of Interface Roughness in Si MOSFETs
H. Mathur, Harold U. Baranger
The effect of silicon-oxide interface roughness on the weak-localization magnetoconductance of a silicon MOSFET in a magnetic field, tilted with respect to the interface, is studie…
Dephasing of Electrons on Helium by Collisions with Gas Atoms
D. Herman, H. Mathur, A. J. Dahm
The damping of quantum effects in the transport properties of electrons deposited on a surface of liquid helium is studied. It is found that due to vertical motion of the helium va…
Dephasing Times in a Non-degenerate Two-Dimensional Electron Gas
I. Karakurt, D. Herman, H. Mathur +1
Studies of weak localization by scattering from vapor atoms for electrons on a liquid helium surface are reported. There are three contributions to the dephasing time. Dephasing by…
Feynman's Propagator Applied to Network Models of Localization
H. Mathur
Network models of dirty electronic systems are mapped onto an interacting field theory of lower dimensionality by intepreting one space dimension as time. This is accomplished via…
Chiral Metal as a Heisenberg Ferromagnet
H. Mathur
The two dimensional surface of an integer quantum hall multilayer is mapped onto a Heisenberg spin-chain with ferromagnetic coupling. Using this mapping it is shown non-perturbativ…