Coulomb Blockade and Super Universality of the Theta-Angle

Abstract

Based on the Ambegaokar-Eckern-Schon approach to the Coulomb blockade we develop a complete quantum theory of the single electron transistor. We identify a previously unrecognized physical observable q^\prime in the problem that, unlike the usual average charge (Q) on the island, is robustly quantized for any finite value of the tunneling conductance as the temperature goes to absolute zero. This novel quantity is fundamentally related to the non-symmetrized noise of the system. We present a unifying scaling diagram in the q^\prime - g^\prime plane where g^\prime denotes the conductance of the system. The results display all the super universal topological features of the theta-angle concept that previously arose in the theory of the quantum Hall effect.

arXiv commentRevTeX, 4 pages, 1 figure

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Cited by in corpus (11)

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• The problem of "macroscopic charge quantization" in single-electron devices
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• One SYK SET
• Super universality of the quantum Hall effect and the "large $N$ picture" of the $\vartheta$ angle
• Charge relaxation resistance in the cotunneling regime of multi-channel Coulomb blockade: Violation of Korringa-Shiba relation
• Out-of-Equilibrium Admittance of Single Electron Box Under Strong Coulomb Blockade
• On the macroscopic quantization in mesoscopic rings and single-electron devices
• Two-instanton approximation to the Coulomb blockade problem
• Instantons in the out-of-equilibrium Coulomb blockade
• Super universality of dimerised $SU(N+M)$ spin chains