Electron-electron interaction and instabilities in one-dimensional metals

Pramana ◽  
1976 ◽  
Vol 7 (2) ◽  
pp. 63-94
Author(s):  
T V Ramakrishnan
2002 ◽  
Vol 12 (9) ◽  
pp. 133-138
Author(s):  
F. Nad ◽  
P. Monceau

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.


Open Physics ◽  
2010 ◽  
Vol 8 (3) ◽  
Author(s):  
Željana Lošić ◽  
Paško Županović

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.


2021 ◽  
Author(s):  
Mohammad Taghi Ahmadi ◽  
Zahra Heidari ◽  
Meisam Rahmani ◽  
Mahan Ahmadi

Abstract Carbyne material with sp-hybridized atoms has been considered as a one dimensional structure with unique properties which has been widely used in nanotechnology. In the presented work the effect of electron overlap energy in the form of electron interaction with in the unit cell and nearest neighbors is explored. In addition, the band structure variation under proposed interaction in one dimensional carbyne is investigated. The effect of overlap energy variation inside and outside the unit cell on the band gap is intended. Under proposed structure the effective mass and density of states parameters are explored. It is demonstrated that by increasing the interaction between s and p orbitals in the unit cell, the band gap increases. However, the band gap is decreased by increasing the interaction between s and p orbitals out the unit cell which can be sued as a sensing mechanism.


2013 ◽  
Vol 27 (08) ◽  
pp. 1350026
Author(s):  
B. I. BELEVTSEV ◽  
E. Yu. BELIAYEV ◽  
Yu. A. KOLESNICHENKO

We present transport properties of quench-condensed Au film with nominal thickness ≈3.56 nm and R□ ≈ 5 k Ω for T > 10 K. This film has weak nonmetallic temperature dependence of resistance with logarithmic behavior above 10 K and somewhat stronger dependence at low temperatures. Above 3 K only two-dimensional (2D) quantum interference effects in electron transport have been found; whereas, below 3 K both one-dimensional (1D) and 2D effects of weak localization (WL) and electron–electron interaction (EEI) can be distinguished. This reflects inhomogeneous structure of the film near the thickness-controlled metal-insulator transition (MIT).


2003 ◽  
Vol 17 (28) ◽  
pp. 5483-5487
Author(s):  
T. KLEIMANN ◽  
M. SASSETTI ◽  
B. KRAMER

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be non-homogeneous with a maximum strength near the quantum dot. The conductance peaks show non-analytic power law behaviour induced by the interaction. It is shown that there is a crossover in the power law which is related to the inhomogeneity of the interaction.


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