Quantum phase transition in a realistic double-quantum-dot system

Scientific Reports
Yaakov Kleeorin, Yigal Meir

Abstract

Observing quantum phase transitions in mesoscopic systems is a daunting task, thwarted by the difficulty of experimentally varying the magnetic interactions, the typical driving force behind these phase transitions. Here we demonstrate that in realistic coupled double-dot systems, the level energy difference between the two dots, which can be easily tuned experimentally, can drive the system through a phase transition, when its value crosses the difference between the intra- and inter-dot Coulomb repulsion. Using the numerical renormalization group and the semi-analytic slave-boson mean-field theory, we study the nature of this phase transition, and demonstrate, by mapping the Hamiltonian into an even-odd basis, that indeed the competition between the dot level energy difference and the difference in repulsion energies governs the sign and magnitude of the effective magnetic interaction. The observational consequences of this transition are discussed.

References

Jul 24, 1998·Science·S M CronenwettL P Kouwenhoven
Jul 4, 1988·Physical Review Letters·B A JonesJ W Wilkins
Oct 10, 1988·Physical Review Letters·T K Ng, P A Lee
Apr 20, 1992·Physical Review Letters·Y Meir, N S Wingreen
Jun 24, 2000·Nature·S SasakiL P Kouwenhoven
Sep 6, 2000·Physical Review Letters·R Aguado, D C Langreth
Jan 22, 2002·Physical Review Letters·Walter Hofstetter, Herbert Schoeller

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