Article (Scientific journals)
Strongly correlated dynamics in multichannel quantum RC circuits
Dutt, Prasenjit; Schmidt, Thomas; Mora, Christophe et al.
2013In Physical Review. B, 87, p. 155134
Peer reviewed
 

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Abstract :
[en] We examine dissipation effects in a multichannel quantum RC circuit, comprising a cavity or single-electron box capacitively coupled to a gate and connected to a reservoir lead via several conducting channels. Depending on the engineering details of the quantum RC circuit, the number of channels contributing to transport varies, as does the form of the interchannel couplings. For low-frequency ac transport, the charge-relaxation resistance (Rq) is a nontrivial function of the parameters of the system. However, in the vicinity of the charge-degeneracy points and for weak tunneling, we find as a result of cross-mode mixing or channel asymmetry that Rq becomes universal for a metallic cavity at low temperatures, and equals the unit of quantum resistance. To prove this universality, we map the system to an effective one-channel Kondo model, and construct an analogy with the Coulomb gas. Next, we probe the opposite regime of near-perfect transmission using a bosonization approach. Focusing on the two-channel case, we study the effect of backscattering at the lead-dot interface, more specifically, the role of an asymmetry in the backscattering amplitudes, and make a connection with the weak-tunneling regime near the charge-degeneracy points.
Disciplines :
Physics
Author, co-author :
Dutt, Prasenjit
Schmidt, Thomas ;  Yale University > Department of Physics ; University of Basel > Department of Physics
Mora, Christophe
Le Hur, Karyn
External co-authors :
yes
Language :
English
Title :
Strongly correlated dynamics in multichannel quantum RC circuits
Publication date :
2013
Journal title :
Physical Review. B
Volume :
87
Pages :
155134
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 18 February 2015

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