Disorder-induced enhancement of the persistent current for strongly interacting electrons in one-dimensional rings

Gambetti-Césare, Elise; Weinmann, Dietmar; Jalabert, Rodolfo A.; Brune, Philipp

doi:10.1209/epl/i2002-00328-9

Cited by 21 publications

(21 citation statements)

References 29 publications

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“…Density matrix renormalization group studies were performed for spinless fermions with nearest neighbor (n.n.) interactions in a disordered mesoscopic ring [403], and for spin 1/2 electrons in a ring described by the half-filled Hubbard-Anderson model [404]. Spinless fermions with Coulomb repulsion (reduced to n.n.…”

Section: Disordered Interacting Fermionic Systemsmentioning

confidence: 99%

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

Lewenstein

Sanpera

Ahufinger

et al. 2007

Advances in Physics

2,093

2,345

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We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed matter phenomena. We show how these systems may be employed as quantum simulators to answer some challenging open questions of condensed matter, and even high energy physics. After a short presentation of the models and the methods of treatment of such systems, we discuss in detail, which challenges of condensed matter physics can be addressed with (i) disordered ultracold lattice gases, (ii) frustrated ultracold gases, (iii) spinor lattice gases, (iv) lattice gases in "artificial" magnetic fields, and, last but not least, (v) quantum information processing in lattice gases. For completeness, also some recent progress related to the above topics with trapped cold gases will be discussed.

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Section: Disordered Interacting Fermionic Systemsmentioning

confidence: 99%

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

Lewenstein

Sanpera

Ahufinger

et al. 2007

Advances in Physics

2,093

2,345

View full text Add to dashboard Cite

show abstract

“…The comparison with the disordered system, where a weak repulsive interaction reduces the localizing effect of the disorder [33], suggests the latter. In fact, an enhancement of the charge stiffness [22] for a single impurity is found for weak repulsive interaction with a maximum near U ¼ t [23,24]. In the case of third filling we have found no indication of a similar behavior, neither in the Friedel oscillations nor in the phase sensitivity.…”

Section: Oscillations In the Gapped Phasesmentioning

confidence: 58%

“…The phase sensitivity [22] which was a very practical observable in the spinless fermion case, is hard to obtain in the Hubbard model which is the simplest interacting electron model [23,24]. Hence, we characterize our systems through the Friedel oscillations; in addition, these should be experimentally accessible.…”

Section: Introductionmentioning

confidence: 99%

Local distortions and Friedel oscillations in interacting Fermi chains

Schuster

Brune

2004

Physica Status Solidi (b)

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The interplay between disorder and interaction, especially near metal insulator transitions, is a longstanding question. We investigate in detail single impurities, in particular, the Friedel oscillations induced by them. We study the decay of the Friedel oscillations in the one-dimensional Heisenberg and Hubbard model analytically using the bosonization technique and numerically using the density matrix renormalization group treatment (DMRG). For the Heisenberg chain, we confirm the predictions of conformal field theory and bosonization for small interaction, but near phase transitions deviations are found in form of vanishing or additional oscillations. For the Hubbard chain, we study the oscillations -in the density as well as in the magnetization -in the spin-gap, charge-gap, and Luttinger liquid phase. We find an exponential decay or a very slow algebraic decay of the oscillations in the gapped phases. In the Luttinger liquid phase, we concentrate on the question of logarithmic corrections (which occur also in the isotropic Heisenberg antiferromagnet). Differences in the behavior near a boundary compared to an impurity are pointed out.

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“…But, the current amplitudes in single isolated diffusive gold rings 23 are still order of magnitude larger than the theoretical predictions. In presence of electron-electron (e-e) interaction and disorder an explanation has been proposed 7,[27][28][29] , based on a perturbative calculation, which reveals persistent currents with greater amplitude compared to the non-interacting case, but still off by an order of magnitude. Moreover, the origin of the e-e interaction parameters taken into account in the theory is not suitably unraveled.…”

Section: Introductionmentioning

confidence: 99%

Persistent charge and spin currents in a quantum ring using Green׳s function technique: Interplay between magnetic flux and spin–orbit interactions

Maiti

Dey

Karmakar

2014

Physica E: Low-dimensional Systems and Nanostructures

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We put forward a new approach based on Green's function formalism to evaluate precisely persistent charge and spin currents in an Aharonov-Bohm ring subjected to Rashba and Dresselhaus spin-orbit interactions. Unlike conventional methods our present scheme circumvents direct evaluation of eigenvalues and eigenstates of the system Hamiltonian to determine persistent currents which essentially reduces possible numerical errors, especially for larger rings. The interplay of Aharonov-Bohm flux and spin-orbit interactions in persistent charge and spin currents of quantum rings is analyzed in detail and our results lead to a possibility of estimating the strength of any one of the spin-orbit fields provided the other one is known. All these features are exactly invariant even in presence of impurities, and therefore, can be substantiated experimentally.

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Disorder-induced enhancement of the persistent current for strongly interacting electrons in one-dimensional rings

Cited by 21 publications

References 29 publications

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

Local distortions and Friedel oscillations in interacting Fermi chains

Persistent charge and spin currents in a quantum ring using Green׳s function technique: Interplay between magnetic flux and spin–orbit interactions

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