Influence of the electron-electron interaction on electronic spectra and persistent currents in one-dimensional loops

2002 ◽  
Vol 65 (15) ◽  
Author(s):  
Guido Burmeister ◽  
Klaus Maschke
Keyword(s):  
Electronic Spectra ◽  
Electron Interaction ◽  
Persistent Currents ◽  
One Dimensional

scholarly journals SPECTRAL CORRELATIONS IN DISORDERED MESOSCOPIC METALS AND THEIR RELEVANCE FOR PERSISTENT CURRENTS

1996 ◽  
Vol 10 (28) ◽  
pp. 1397-1406 ◽  
Author(s):  
AXEL VÖLKER ◽  
PETER KOPIETZ
Keyword(s):  
Energy Levels ◽  
Three Dimensional ◽  
Average Density ◽  
Electron Interaction ◽  
Energy Window ◽  
Persistent Currents ◽  
Dependent Part ◽  
The Difference ◽  
Aharonov Bohm ◽  
Grand Canonical

We use the Lanczos method to calculate the variance σ2(E, ϕ) of the number of energy levels in an energy window of width E below the Fermi energy for noninteracting disordered electrons on a thin three-dimensional ring threaded by an Aharonov–Bohm flux ϕ. We confirm numerically that for small E the flux-dependent part of σ2(E, ϕ) is well described by the Altshuler–Shklovskii-diagram involving two Cooperons. However, in the absence of electron–electron interactions this result cannot be extrapolated to energies E where the energy-dependence of the average density of states becomes significant. We discuss consequences for persistent currents and argue that for the calculation of the difference between the canonical- and grand canonical current it is crucial to take the electron–electron interaction into account.

Persistent currents in a one-dimensional disordered ring in the Luttinger model

1997 ◽  
Vol 55 (24) ◽  
pp. 16300-16305 ◽  
Author(s):  
Jia-Lin Zhu ◽  
Xi Chen ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Persistent Currents ◽  
One Dimensional ◽  
Luttinger Model

THE ANALOGUE OF THE AHARONOV–BOHM EFFECT FOR BOUND STATES FOR NEUTRAL PARTICLES

2011 ◽  
Vol 26 (18) ◽  
pp. 1331-1341 ◽  
Author(s):  
KNUT BAKKE ◽  
C. FURTADO
Keyword(s):  
Bound States ◽  
Neutral Particle ◽  
Energy Levels ◽  
Quantum Ring ◽  
Persistent Currents ◽  
One Dimensional ◽  
Neutral Particles ◽  
Quantum Flux ◽  
Bohm Effect ◽  
Aharonov Bohm

We study the analogue of the Aharonov–Bohm effect for bound states for a neutral particle with a permanent magnetic dipole moment interacting with an external field. We consider a neutral particle confined to moving between two coaxial cylinders and show the dependence of the energy levels on the Aharonov-Casher quantum flux. Moreover, we show that the same flux dependence of the bound states can be found when the neutral particle is confined to a one-dimensional quantum ring and a quantum dot, and we also calculate the persistent currents in each case.

Synthesis and Electronic Spectra of Disilatriptycene Oligomers: Evidence for Electronic Delocalization along the One-Dimensional Arrangement of Bridge-Head Disilanes

2008 ◽  
Vol 27 (21) ◽  
pp. 5441-5445 ◽  
Author(s):  
Shohei Sase ◽  
Yoen-Seok Cho ◽  
Atsushi Kawachi ◽  
Atsushi Wakamiya ◽  
Shigehiro Yamaguchi ◽  
...  
Keyword(s):  
Electronic Spectra ◽  
One Dimensional ◽  
Electronic Delocalization ◽  
The One

Charge ordering and ferroelectric states in organic quasi-one-dimensional conductors

2002 ◽  
Vol 12 (9) ◽  
pp. 133-138
Author(s):  
F. Nad ◽  
P. Monceau
Keyword(s):  
Phase Transitions ◽  
Charge Ordering ◽  
Electron Interaction ◽  
Charge Symmetry ◽  
Low Frequencies ◽  
One Dimensional ◽  
Thermally Activated ◽  
Correlated Electron ◽  
Temperature Dependences ◽  
New Phase

In quasi-one-dimensional (TMTTF)2X conductors [1], where X are the various centro-symmetrical and non-centrosymmetrical anions, by study of temperature dependences of conductance G and dielectric permittivity $\varepsilon '$ at low frequencies we have found anomalies which are characteristic for phase transitions: an abrupt bend on the G(l/T) dependences with thermally activated decrease of G and sharp maxima of the E' near the charge ordering temperature corresponding to the E' divergence according to the Curie law. A number of evidences have been obtained in favor that driving force of these phase transitions is the long range correlated electron interaction yielding the charge ordering along the molecular chains (a lattice version of the Wigner crystal). The anion chains, electrically balanced with molecular chains, are of very importance in the formation and the stabilization of these new phase states. It appears that the form of charge symmetry of the anions determines to a great extent the types of the occurring transitions and the developing ground states.

Collective mode dispersions of organic chain compounds

Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Željana Lošić ◽  
Paško Županović
Keyword(s):  
Collective Mode ◽  
Random Phase ◽  
Tight Binding ◽  
Three Dimensional ◽  
Plasmon Mode ◽  
Optical Data ◽  
Electron Interaction ◽  
Coulomb Interactions ◽  
One Dimensional ◽  
Donor And Acceptor

AbstractWe investigate the collective mode dispersions for the tight-binding dielectric matrix with two one-dimensional electron bands per donor and acceptor chains, and the three-dimensional long-range Coulomb electron-electron interaction within the random phase approximation. The hybridized collective modes are the result of the strong coupling between the intraband plasmon and the interband dipolar modes due to strong dipole Coulomb interactions. Our calculations show the existence of the low-energy renormalized plasmon mode above the electron-hole quasi-continuum in the long wavelength limit. The obtained modes are brought into correspondence with the optical data of quasi-one-dimensional organic conductor tetrathiafulvalene-tetracyanoquinodimethane (TTF-TCNQ). Namely, the renormalized plasmon and the dipolar mode are assigned to the observed excitations at respective energy scales of roughly 10 meV and 0.75 eV, explaining why lower excitation is eliminated while higher excitation persists below the temperature of the Peierls phase transition.

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