title: Quantum dots with disorder and interactions: a solvable large-g limit.
abstract: We analyze the problem of interacting electrons on a ballistic quantum dot with chaotic boundary conditions, where the effective interactions at low energies are characterized by Landau parameters. When the dimensionless conductance g of the dot is large, the disordered interacting problem can be solved in a saddle-point approximation which becomes exact as g --> infinity (as in a large-N theory), leading to a phase transition in each Landau interaction channel. In the weak-coupling phase constant charging and exchange interactions dominate the low-energy physics, while the strong-coupling phase displays a spontaneous distortion of the Fermi surface, smeared out by disorder.
authors.affiliation: Physics Department, University of Kentucky, Lexington Kentucky 40506-0055, USA.
authors.forename: Ganpathy
authors.initials: G
authors.lastname: Murthy
authors.forename: R
authors.initials: R
authors.lastname: Shankar