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Quantum dots with large Thouless number $g$ embody a regime where bothdisorder and interactions can be treated nonperturbatively using large-Ntechniques (with $N=g$) and quantum phase transitions can be studied. Here wefocus on dots where the noninteracting Hamiltonian is drawn from a crossoverensemble between two symmetry classes, where the crossover parameter introducesa new, tunable energy scale independent of and much smaller than the Thoulessenergy. We show that the quantum critical regime, dominated by collectivecritical fluctuations, can be accessed at the new energy scale. Thenonperturbative physics of this regime can only be described by the large-Napproach, as we illustrate with two experimentally relevant examples.Comment: 4 pages, 1 figur

Random-matrix and quantum-critical crossovers for interacting electrons in quantum dots