Harsh Mathur

Non-exponential tunneling and control of microwave absorption lineshapes via Fano resonance for electrons on Helium (2008)

Duki, Solomon, Mathur, Harsh

We consider the application of a small in-plane magnetic field to electrons on a helium surface in a perpendicular magnetic field. Certain states that were bound to the helium surface then dissolve...

Reply to Comment on "Drip Paintings and Fractal Analysis" by Micolich et al (arXiv:0712.165v1 [cond-mat.stat-mech]) (2008)

Jones-Smith, Katherine, Mathur, Harsh, Krauss, Lawrence M.

We reply to the comment of Micolich et al and demonstrate that their criticisms are unfounded. In particular we provide a detailed discussion of our box-counting algorithm and of the interpretation...

A Nearly Scale Invariant Spectrum of Gravitational Radiation from Global Phase Transitions (2007)

Jones-Smith, Katherine, Krauss, Lawrence M., Mathur, Harsh

Using a large N sigma model approximation we explicitly calculate the power spectrum of gravitational waves arising from a global phase transition in the early universe and we confirm that it is...

Drip Paintings and Fractal Analysis (2007)

Jones-Smith, Katherine, Mathur, Harsh, Krauss, Lawrence M.

It has been claimed [1-6] that fractal analysis can be applied to unambiguously characterize works of art such as the drip paintings of Jackson Pollock. This academic issue has become of more general...

Quantized Non-Abelian Monopoles on S^3 (2007)

Maor, Irit, Mathur, Harsh, Vachaspati, Tanmay

A possible electric-magnetic duality suggests that the confinement of non-Abelian electric charges manifests itself as a perturbative quantum effect for the dual magnetic charges. Motivated by this...

Zero modes on cosmic strings in an external magnetic field (2006)

Ferrer, Francesc, Mathur, Harsh, Vachaspati, Tanmay, Starkman, Glenn D.

A classical analysis suggests that an external magnetic field can cause trajectories of charge carriers on a superconducting domain wall or cosmic string to bend, thus expelling charge carriers with...

Ballistic Quantum Dots with Disorder and Interactions: A numerical study on the Robnik-Berry billiard (2004)

Murthy, Ganpathy, Shankar, R., Mathur, Harsh

In previous work we have found a regime in ballistic quantum dots where interelectron interactions can be treated asymptotically exactly as the Thouless number $g$ of the dot becomes very large....

Influence of a Mesoscopic Bath on Quantum Coherence (2004)

Narayan, Onuttom, Mathur, Harsh

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 wells. This is...

A Solvable Regime of Disorder and Interactions in Ballistic Nanostructures, Part I: Consequences for Coulomb Blockade (2003)

Murthy, Ganpathy, Shankar, R., Herman, Damir, Mathur, Harsh

We provide a framework for analyzing the problem of interacting electrons in a ballistic quantum dot with chaotic boundary conditions within an energy $E_T$ (the Thouless energy) of the Fermi energy....

Diamagnetic Persistent Currents and Spontaneous Time-Reversal Symmetry Breaking in Mesoscopic Structures (2003)

Herman, Damir, Mathur, Harsh, Murthy, Ganpathy

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 analysis is reliable...

Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions (2002)

Murthy, Ganpathy, Mathur, Harsh

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-particle states by...