Coulomb drag in parallel quantum dots

Moldoveanu, V.; Tanatar, B.

doi:10.1209/0295-5075/86/67004

Cited by 25 publications

(26 citation statements)

References 38 publications

(51 reference statements)

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“…25 This effect is directly related to the Coulomb drag exerted by the QPC onto the DQD current. 9,29,30 Second, we demonstrate the emergence of effective fluctuation theorems for the current in the sole DQD under different experimentally relevant conditions. These conditions suppose that the QPC is faster than the DQD.…”

Section: Introductionmentioning

confidence: 87%

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

et al. 2013

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A theoretical study is reported of electron transport at finite temperature in a double quantum dot (DQD) capacitively coupled to a quantum point contact (QPC) for the measurement of the DQD charge state. Starting from a Hamiltonian model, a master equation is obtained for the stochastic process taking place in the DQD while the QPC is at or away from equilibrium, allowing us to study the measurement back-action of the QPC onto the DQD. The QPC is treated nonperturbatively in our analysis. Effective fluctuation theorems are established for the full counting statistics of the DQD current under different limiting conditions. These fluctuation theorems hold with respect to an effective affinity characterizing the nonequilibrium environment of the DQD and differing from the applied voltage if the QPC is out of equilibrium. The effective affinity may even change its sign if the Coulomb drag of the QPC reverses the DQD current. The thermodynamic implications of the effective fluctuation theorems are discussed.

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Section: Introductionmentioning

confidence: 87%

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

et al. 2013

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“…Mutual friction was also suggested to occur between non-Fermi-Liquid phases including Luttinger liquids (Flensberg, 1998;Klesse and Stern, 2000;Nazarov and Averin, 1998), Wigner crystals (Baker and Rojo, 2001;Braude and Stern, 2001), and strongly localized electrons (Raikh and von Oppen, 2002). Drag or similar measurements of interlayer interactions were also considered for composite (or hybrid) systems comprising ballistic quantum wires Muradov, 2000, 2005;Raichev and Vasilopoulos, 2000a;Wang et al, 2005), coupled 2D-1D systems (Lyo, 2003), nonequilibrium charged gases (Wang and da Cunha Lima, 2001), multi-wall nanotubes (Lunde et al, 2005;Lunde and Jauho, 2004), quantum point contacts (Levchenko and Kamenev, 2008a), few level quantum dots (Moldoveanu and Tanatar, 2009), optical cavities (Berman et al, 2010a(Berman et al, , 2014, coupled mesoscopic rings (Yang and MacDonald, 2001), superconductors (Levchenko and Norman, 2011), and normalmetal-ferromagnet-normal-metal structures . Other developments include mesoscopic fluctuations of Coulomb drag (Narozhny and Aleiner, 2000;Narozhny et al, 2001), frictional drag mediated by virtual photons (Donarini et al, 2003) and plasmons (Badalyan et al, 2007), exciton effects in semiconductors (Laikhtman and Solomon, 2006) and topological insulators (Mink et al, 2012), interlayer Seebeck effect (Lung and Marinescu, 2011) and spin drag (Badalyan and Vignale, 2009;D'Amico and Vignale, 2000;Duine et al, 2011Duine et al, , 2010Duine and Stoof, 2009;Flensberg et al, 2001;…”

Section: Frictional Dragmentioning

confidence: 99%

“…Remarkably, already for seemingly modest drive voltages (much smaller than temperature) the system crosses over to the nonlinear regime, where the effect is dominated by the excess shot noise of the drive circuit. Nonlinear transport was also found to be crucial for drag effects in a system of parallel quantum dots (Moldoveanu and Tanatar, 2009). An exciting new development is the proposal to use the drag effects to study transport properties of polaritons in optical cavities and, in particular, their superfluidity (Berman et al, 2010a,b).…”

Section: Coulomb Drag At the Nanoscalementioning

confidence: 99%

Coulomb drag

2016

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Coulomb drag is a transport phenomenon whereby long-range Coulomb interaction between charge carriers in two closely spaced but electrically isolated conductors induces a voltage (or, in a closed circuit, a current) in one of the conductors when an electrical current is passed through the other. The magnitude of the effect depends on the exact nature of the charge carriers and microscopic, many-body structure of the electronic systems in the two conductors. Drag measurements have become part of the standard toolbox in condensed matter physics that can be used to study fundamental properties of diverse physical systems including semiconductor heterostructures, graphene, quantum wires, quantum dots, and optical cavities.

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“…Note from Eqs. (18) and (19) that the bias is applied also to the terminal (interacting) sites of the leads. We will refer to the left and right currents as the current flowing through the left and right interacting-noninteracting interfaces correspondingly.…”

Section: Quantum Transport: Short-time Dynamicsmentioning

confidence: 99%

“…Considerable progress has been made to investigate both steady-state [3][4][5][6][7][8][9][10][11][12][13] and time-dependent [14][15][16][17][19][20][21][22][23][24][25][26][27][28][29][30][31][32] transport properties of metal-nanostructure-metal junctions. As an increasing trend, the system is partitioned into an explicitly treated interacting region coupled to noninteracting electron reservoirs (leads), which act as source and sink terminals.…”

Section: Introductionmentioning

confidence: 99%

Image charge dynamics in time-dependent quantum transport

et al. 2012

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In this work we investigate the effects of the electron-electron interaction between a molecular junction and the metallic leads in time-dependent quantum transport. We employ the recently developed embedded Kadanoff-Baym method [Phys. Rev. B 80, 115107 (2009)] and show that the molecule-lead interaction changes substantially the transient and steady-state transport properties. We first show that the mean-field Hartree-Fock (HF) approximation does not capture the polarization effects responsible for the renormalization of the molecular levels neither in nor out of equilibrium. Furthermore, due to the time-local nature of the HF self-energy there exists a region in parameter space for which the system does not relax after the switch-on of a bias voltage. These and other artifacts of the HF approximation disappear when including correlations at the second-Born or GW levels. Both these approximations contain polarization diagrams which correctly account for the screening of the charged molecule. We find that by changing the molecule-lead interaction the ratio between the screening and relaxation time changes, an effect which must be properly taken into account in any realistic time-dependent simulation. Another important finding is that while in equilibrium the molecule-lead interaction is responsible for a reduction of the HOMO-LUMO gap and for a substantial redistribution of the spectral weight between the main spectral peaks and the induced satellite spectrum, in the biased system it can have the opposite effect, i.e., it sharpens the spectral peaks and opens the HOMO-LUMO gap.

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Coulomb drag in parallel quantum dots

Cited by 25 publications

References 38 publications

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

Effective fluctuation theorems for electron transport in a double quantum dot coupled to a quantum point contact

Coulomb drag

Image charge dynamics in time-dependent quantum transport

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