Harvard Condensed Matter Theory Seminars

Ganpathy Murthy, University of Kentucky and Harvard

Disorder, Interactions, and Crossovers in Quantum Dots

In ballistic/chaotic quantum dots the single-particle states are  controlled by Random Matrix Theory below the Thouless scale. The three pure Random  Matrix ensembles correspond to dots  without an orbital B field and no spin- orbit coupling (Orthogonal), dots without an orbital field and with spin-orbit coupling (Symplectic), and dots with an orbital field (Unitary). At weak coupling, the low-energy physics is described by the Universal  Hamiltonian.

We will be concerned with interacting electrons in a dot in a  crossover between two RMT ensembles, such as the Orthogonal and the Unitary, and we  will show that in the crossover, special RMT correlations develop and the  states become strongly correlated in the electronic sense. We will conclude with a description of new universal interacting crossover regimes.

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