Quantum phase transitions in the systems of parallel quantum dots

Details Quantum phase transitions in the systems of parallel quantum dots Quantum phase transitions in the systems of parallel quantum dots

2007-11-30

arxiv.org/abs/0711.4884v1

Phys. Rev. B 76, 241305(R) (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevB.76.241305

We study the low-temperature transport properties of the systems of parallel quantum dots described by the N-impurity Anderson model. We calculate the quasiparticle scattering phase shifts, spectral functions and correlations as a function of the gate voltage for N up to 5. For any N, the conductance at the particle-hole symmetric point is unitary. For N >= 2, a transition from ferromagnetic to antiferromagnetic impurity spin correlations occurs at some gate voltage. For N >= 3, there is an additional transition due to an abrupt change in average impurity occupancy. For odd N, the conductance is discontinuous through both quantum phase transitions, while for even N only the magnetic transition affects the conductance. Similar effects should be experimentally observable in the systems of quantum dots with ferromagnetic conduction-band-mediated inter-dot exchange interactions.

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