Quantum Phase Transition and Dynamically Enhanced Symmetry in Quadruple Quantum Dot System

Details Quantum Phase Transition and Dynamically Enhanced Symmetry in Quadruple Quantum Dot System Quantum Phase Transition and Dynamically Enhanced Symmetry in Quadruple Quantum Dot System

2010-08-06

arxiv.org/abs/1008.1262v1

Phys. Rev. Lett. 105, 256801 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages main text + 4 pages supplementary material

Scientific paper

10.1103/PhysRevLett.105.256801

We propose a system of four quantum dots designed to study the competition between three types of interactions: Heisenberg, Kondo and Ising. We find a rich phase diagram containing two sharp features: a quantum phase transition (QPT) between charge-ordered and charge-liquid phases, and a dramatic resonance in the charge liquid visible in the conductance. The QPT is of the Kosterlitz-Thouless type with a discontinuous jump in the conductance at the transition. We connect the resonance phenomenon with the degeneracy of three levels in the isolated quadruple dot and argue that this leads to a Kondo-like dynamical enhancement of symmetry from U(1) x Z_2 to U(1) x U(1).

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