Suppression of level hybridization due to Coulomb interactions

Cedraschi, Pascal; Büttiker, Μ.

doi:10.1088/0953-8984/10/18/009

Cited by 17 publications

(13 citation statements)

References 43 publications

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“…We recall the fact that the delocalization effect of repulsive interactions has been predicted in models other than that of our work: Disordered Hubbard models in 1D [23] and in 2D [63], systems with strong binary disorder [44], rings coupled to a side stub [57], and interacting bosons in a disordered chain [64].…”

Section: Discussionmentioning

confidence: 99%

“…[57] within a slightly different model: A ring enclosing a magnetic flux coupled to a side stub via a capacitive tunnel junction. In particular, it was shown that the passage through the hybridization point is associated with the displacement of charge in real space, and also that strong enough Coulomb interactions can isolate the ring from the stub, thereby increasing the persistent current.…”

Section: Avoided Level Crossingsmentioning

confidence: 99%

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Delocalization effects and charge reorganizations induced by repulsive interactions in strongly disordered chains

Weinmann

Schmitteckert²,

Jalabert³

et al. 2001

Eur. Phys. J. B

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Abstract. We study the delocalization effect of a short-range repulsive interaction on the ground state of a finite density of spinless fermions in strongly disordered one dimensional lattices. The density matrix renormalization group method is used to explore the charge density and the sensitivity of the ground state energy with respect to the boundary condition (the persistent current) for a wide range of parameters (carrier density, interaction and disorder). Analytical approaches are developed and allow to understand some mechanisms and limiting conditions. For weak interaction strength, one has a Fermi glass of Anderson localized states, while in the opposite limit of strong interaction, one has a correlated array of charges (Mott insulator). In the two cases, the system is strongly insulating and the ground state energy is essentially invariant under a twist of the boundary conditions. Reducing the interaction strength from large to intermediate values, the quantum melting of the solid array gives rise to a more homogeneous distribution of charges, and the ground state energy changes when the boundary conditions are twisted. In individual chains, this melting occurs by abrupt steps located at sample-dependent values of the interaction where an (avoided) level crossing between the ground state and the first excitation can be observed. Important charge reorganizations take place at the avoided crossings and the persistent currents are strongly enhanced around the corresponding interaction value. These large delocalization effects become smeared and reduced after ensemble averaging. They mainly characterize half filling and strong disorder, but they persist away of this optimal condition. PACS. 72.15.-v Electronic conduction in metals and alloy -73.20.Dx Electron states in low-dimensional structures -72.10.Bg General formulation of transport theory -05.60.Gg Quantum transport

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Section: Discussionmentioning

confidence: 99%

Section: Avoided Level Crossingsmentioning

confidence: 99%

Delocalization effects and charge reorganizations induced by repulsive interactions in strongly disordered chains

Weinmann

Schmitteckert²,

Jalabert³

et al. 2001

Eur. Phys. J. B

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“…stands for irreducible correlators (cumulants), e.g., Î(τ ) Î(0) = Î(τ ) Î(0) − Î(τ ) Î(0) . Employing the full set of eigenstates Ĥ|m = ε m (φ x )|m after a straightforward calculation we obtain Π(τ ) = P + Π(τ ), (5) where P does not depend on imaginary time and reads…”

Section: The Model and General Relationsmentioning

confidence: 99%

Fluctuations of persistent current

Semenov¹,

Zaikin²

2010

J. Phys.: Condens. Matter

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We theoretically analyze equilibrium fluctuations of the persistent current (PC) in nanorings. We demonstrate that these fluctuations persist down to zero temperature provided the current operator does not commute with the total Hamiltonian of the system. For a model of a quantum particle on a ring we explicitly evaluate PC noise power which has the form of sharp peaks at frequencies set by the corresponding interlevel distances. In rings with many conducting channels, a much smoother and broader PC noise spectrum is expected. A specific feature of PC noise is that its spectrum can be tuned by an external magnetic flux indicating the presence of quantum coherence in the system.

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“…The persistent current and its noise has been studied in many papers (e.g., by Büttiker et al [ 39 , 40 , 41 , 42 ], Semenov and Zaikin [ 43 , 44 , 45 , 46 ], Moskalates [ 47 ], and, more recently, by Komnik and Langhanke [ 48 ]) using full counting statistics (FCS), as well as in 1D Hubbard rings by exact diagonalization by Saha and Maiti [ 49 ] (see, also, the book by Imry [ 50 ]).…”

Section: Persistent Current and Its Noise: The Casementioning

confidence: 99%

“…This result says that fluctuations of the persistent current could occur when the number of electrons in the ring fluctuates (i.e., an electron state moves through the Fermi level and

jumps). We show, below, that the coupling with the electrodes (as a dissipative environment) results in current fluctuations [ 40 , 41 ], as well.…”

Section: Persistent Current and Its Noise: The Casementioning

confidence: 99%

Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference

Bułka

Łuczak

2019

Entropy

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We present studies of the electron transport and circular currents induced by the bias voltage and the magnetic flux threading a ring of three quantum dots coupled with two electrodes. Quantum interference of electron waves passing through the states with opposite chirality plays a relevant role in transport, where one can observe Fano resonance with destructive interference. The quantum interference effect is quantitatively described by local bond currents and their correlation functions. Fluctuations of the transport current are characterized by the Lesovik formula for the shot noise, which is a composition of the bond current correlation functions. In the presence of circular currents, the cross-correlation of the bond currents can be very large, but it is negative and compensates for the large positive auto-correlation functions.

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Suppression of level hybridization due to Coulomb interactions

Cited by 17 publications

References 43 publications

Delocalization effects and charge reorganizations induced by repulsive interactions in strongly disordered chains

Delocalization effects and charge reorganizations induced by repulsive interactions in strongly disordered chains

Fluctuations of persistent current

Current Correlations in a Quantum Dot Ring: A Role of Quantum Interference

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