Electron-electron correlations and the Aharonov-Bohm effect in mesoscopic rings

Jagla, E. A.; Balseiro, C. A.

doi:10.1103/physrevlett.70.639

Cited by 52 publications

(99 citation statements)

References 17 publications

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“…These equations are exact for a non-interacting system, while with interactions on the ring they serve as an approximation in the tunneling limit t ′ /t ≪ 1 [13]. We comment that previous calculations of T (ω, V g ) in nanoscopic systems do not include interference effects which exist in a ring geometry.…”

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confidence: 99%

“…Direct calculations of the real-time evolution of electronic wave packets in Hubbard rings revealed that the spin and charge densities dispersed with different velocities as an immediate consequence of SCS [12]. Equally striking was the analysis of transmission through AharonovBohm (AB) rings [13]. The motion of the electrons in the ring was described by a LL propagator, where different charge and spin velocities, respectively v c and v s , are included explicitly.…”

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confidence: 99%

“…The transmittance of the ring, obtained by integration over the excitations in a small energy window at the Fermi level [13], is shown in Fig. 2 for different ring fillings.…”

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confidence: 99%

“…This proceeds in the T -matrix formulation, which yields transmission amplitudes based on an intersite promotion matrix [14,15]. The transmittance T (ω) is given by [13] …”

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confidence: 99%

“…Following Ref. [13], the transmission from the left to the right lead can be calculated to second order in t ′ from an effective low-energy Hamiltonian H eff for the system with an additional particle of energy ω and wave vector ±k in the left or the right lead. H eff is equivalent to the one-particle Hamiltonian for the chain represented in Fig.…”

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Spin-Charge Separation in Aharonov-Bohm Rings of Interacting Electrons

et al. 2004

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We investigate the properties of strongly correlated electronic models on a flux-threaded ring connected to semi-infinite free-electron leads. The interference pattern of such an Aharonov-Bohm ring shows sharp dips at certain flux values, determined by the filling, which are a consequence of spin-charge separation in a nanoscopic system. PACS numbers: 75.40. Gb, 75.10.Jm, 76.60.Es In interacting electron systems in reduced spatial dimensions, correlation effects are strongly enhanced and the conventional quasiparticle description of Fermi liquids may become inapplicable. In particular, for onedimensional (1d) systems the low-energy excitations are entirely collective in nature and the Luttinger-liquid (LL) concept provides the appropriate framework to characterize the electronic properties. A hallmark of the LL is the fractionalization of the electronic excitations into separate collective spin and charge modes, a phenomenon known as spin-charge separation (SCS) [1,2].With the advent of new materials and artificial structures of quasi-1d electronic character in the last decade, a variety of experiments has been reported which seek evidence of SCS. Prominent examples of candidate materials include the organic Bechgaard and Fabre salts [3], molybdenum bronzes and chalcogenides [4], cuprate chain and ladder compounds [5], and also carbon nanotube systems [6]. The non-Fermi-liquid normal-state properties of high temperature superconductors have also led to attempts to trace their origin to the possible realization of SCS in strongly correlated electron systems in 2d [7]. Different approaches for the identification of SCS have included the analysis of non-universal power-law I-V characteristics [4], the search for characteristic dispersive features by angle-resolved photoemission spectroscopy (ARPES) [8], establishing a violation of the Wiedemann-Franz law [9], and analyzing spin and charge conductivities [8,10]. While the interpretation of experimental results has been considered ambiguous in some cases, a verification of SCS has been reported from ARPES data on SrCuO 2 [11].Theoretical methods for detecting and visualizing SCS were proposed and demonstrated many years ago. Direct calculations of the real-time evolution of electronic wave packets in Hubbard rings revealed that the spin and charge densities dispersed with different velocities as an immediate consequence of SCS [12]. Equally striking was the analysis of transmission through AharonovBohm (AB) rings [13]. The motion of the electrons in the ring was described by a LL propagator, where different charge and spin velocities, respectively v c and v s , are included explicitly. With this assumption the fluxdependence of the transmission is no longer periodic only in multiples of a flux quantum Φ 0 = hc/e, but instead new structures appear at fractional flux values which are determined by the ratio v s /v c . In essence, these structures arise because transmission requires the separated spin and charge degrees of freedom of an injected electron to recombine...

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confidence: 99%

mentioning

confidence: 99%

“…The transmittance of the ring, obtained by integration over the excitations in a small energy window at the Fermi level [13], is shown in Fig. 2 for different ring fillings.…”

mentioning

confidence: 99%

“…This proceeds in the T -matrix formulation, which yields transmission amplitudes based on an intersite promotion matrix [14,15]. The transmittance T (ω) is given by [13] …”

mentioning

confidence: 99%

mentioning

confidence: 99%

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Spin-Charge Separation in Aharonov-Bohm Rings of Interacting Electrons

et al. 2004

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Quantum Interference in Luttinger Liquids

Jagla

Balseiro

1994

New Trends in Magnetism, Magnetic Materials, and Their Applications

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Conductance through strongly interacting rings in a magnetic field

Rincón

Aligia

Hallberg

2009

Physica B: Condensed Matter

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We study the conductance through finite Aharonov-Bohm rings of interacting electrons weakly coupled to non-interacting leads at two arbitrary sites. This model can describe an array of quantum dots with a large charging energy compared to the interdot overlap. As a consequence of the spin-charge separation, which occurs in these highly correlated systems, the transmittance is shown to present pronounced dips for particular values of the magnetic flux piercing the ring. We analyze this effect by numerical and analytical means and show that the zero-temperature equilibrium conductance in fact presents these striking features which could be observed experimentally.Comment: 4 pages, 3 figures. FCM 2008 proceeding

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Electron-electron correlations and the Aharonov-Bohm effect in mesoscopic rings

Cited by 52 publications

References 17 publications

Spin-Charge Separation in Aharonov-Bohm Rings of Interacting Electrons

Spin-Charge Separation in Aharonov-Bohm Rings of Interacting Electrons

Quantum Interference in Luttinger Liquids

Conductance through strongly interacting rings in a magnetic field

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