Interference in interacting quantum dots with spin

Boese, Daniel; Hofstetter, Walter; Schoeller, Herbert

doi:10.1103/physrevb.66.125315

Cited by 98 publications

(106 citation statements)

References 42 publications

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“…1 [15,16,17,18,19,20,21,22,51]. In the following discussions, the intra-dot Coulomb interaction is assumed to be sufficiently large, so that double occupancy on each QD is forbidden.…”

Section: Model and Methodsmentioning

confidence: 99%

“…There have been a number of theoretical works on DQD systems in this context. For example, it was pointed out that the DQD system shows the dramatic suppression of the Kondo-assisted transport due to the interference when the DQD is arranged in the parallel geometry [15,16,17,18,19,20,21,22], whereas such interference effects do not appear in the serial DQD [16,23,24,25,26,27,28,29,30]. More recently, slightly different DQD systems with the parallel geometry, where the two dots are connected via the exchange coupling [19] or the tunneling [20,21], have been studied.…”

Section: Introductionmentioning

confidence: 99%

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Interference effects on Kondo-assisted transport through double quantum dots

2005

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We systematically investigate electron transport through double quantum dots with particular emphasis on interference induced via multiple paths of electron propagation. By means of the slave-boson mean-field approximation, we calculate the conductance, the local density of states, the transmission probability in the Kondo regime at zero temperature. It is clarified how the Kondoassisted transport changes its properties when the system is continuously changed among the serial, parallel and T-shaped double dots. The obtained results for the conductance are explained in terms of the Kondo resonances influenced by interference effects. We also discuss the impacts due to the spin-polarization of ferromagnetic leads.

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“…1 [15,16,17,18,19,20,21,22,51]. In the following discussions, the intra-dot Coulomb interaction is assumed to be sufficiently large, so that double occupancy on each QD is forbidden.…”

Section: Model and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interference effects on Kondo-assisted transport through double quantum dots

2005

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“…These effects on the average electric current and level population [19][20][21][22][23][24] do not require a magnetic field as in double quantum dot Aharonov-Bohm interferometers. [25][26][27][28][29][30] A recent study of interference effects on the electron transfer statistics showed that they can induce super-Poisson shot noise in the Coulomb blockade regime and the high bias limit. 18 Using the terminology of Ref.…”

Section: Introductionmentioning

confidence: 99%

Interference effects in the counting statistics of electron transfers through a double quantum dot

et al. 2008

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We investigate effects of quantum interferences and Coulomb interaction on the counting statistics of electrons crossing a double quantum dot in a parallel geometry by using a generating function technique based on a quantum master equation approach. The skewness and the average residence time of electrons in the dots are shown to be the quantities most sensitive to interferences and Coulomb coupling. The joint probabilities of consecutive electron transfer processes show characteristic temporal oscillations due to interference. The steady-state fluctuation theorem that predicts a universal relation between the number of forward and backward transfer events is shown to hold even in the presence of the Coulomb coupling and interference.

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“…the unitarity limit for the zerobias conductance at low temperatures [5]. There is naturally considerable interest in coupled quantum dots at present, notably double dot (DQD) systems which are under active investigation both theoretically [6][7][8][9][10][11][12][13][14][15][16][17][18] and experimentally [19][20][21][22][23][24][25][26][27]. In addition to their possible utility in mesoscopic devices, circuitry and information processing, such systems offer the prospect of novel strongly correlated electron states, reflecting the inherent relevance of both spin and orbital degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Renormalization group study of capacitively coupled double quantum dots

Galpin¹,

Logan²,

Krishnamurthy³

2006

J. Phys.: Condens. Matter

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Abstract. The numerical renormalization group is employed to study a double quantum (DQD) dot system consisting of two equivalent single-level dots, each coupled to its own lead and with a mutual capacitive coupling embodied in an interdot interaction U ′ , in addition to the intradot Coulomb interaction U . We focus on the regime with two electrons on the DQD, and the evolution of the system on increasing U ′ /U . The spin-Kondo effect arising for U ′ = 0 (SU (2) × SU (2)) is found to persist robustly with increasing U ′ /U , before a rapid but continuous crossover to (a) the SU (4) point U ′ = U where charge and spin degrees of freedom are entangled and the Kondo scale strongly enhanced; and then (b) a charge-Kondo state, in which a charge-pseudospin is quenched on coupling to the leads/conduction channels. A quantum phase transition of Kosterlitz-Thouless type then occurs from this Fermi liquid, strong coupling (SC) phase, to a broken symmetry, non-Fermi liquid charge ordered (CO) phase at a critical U ′ c . Our emphasis in this paper is on the structure, stability and flows between the underlying RG fixed points, on the overall phase diagram in the (U, U ′ )-plane and evolution of the characteristic low-energy Kondo scale inherent to the SC phase; and on static physical properties such as spin-and charge-susceptibilities (staggered and uniform), including universality and scaling behaviour in the strongly correlated regime. Some exact results for associated Wilson ratios are also obtained.

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Interference in interacting quantum dots with spin

Cited by 98 publications

References 42 publications

Interference effects on Kondo-assisted transport through double quantum dots

Interference effects on Kondo-assisted transport through double quantum dots

Interference effects in the counting statistics of electron transfers through a double quantum dot

Renormalization group study of capacitively coupled double quantum dots

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