ELECTROSTATIC SCREENING IN FULLERENE COMPOUNDS

1994 ◽  
Vol 08 (23) ◽  
pp. 1437-1446
Author(s):  
J. GONZÁLEZ ◽  
F. GUINEA ◽  
M.A.H. VOZMEDIANO
Keyword(s):  
Field Theory ◽  
Electric Charge ◽  
Quantum Electrodynamics ◽  
Luttinger Liquid ◽  
Coulomb Interactions ◽  
Standard Quantum ◽  
One Dimensional ◽  
Close Analogy ◽  
Low Energies ◽  
The One

We study the Coulomb interactions in fullerene compounds within a continuum formalism. The model gives rise to a renormalizable field theory, which has many similarities to standard quantum electrodynamics. The effective electric charge at low energies is reduced by screening processes. The associated renormalization of the one-electron Green’s function leads to the vanishing of the quasiparticle pole. It implies the disappearance of coherent one-particle excitations, in close analogy to the one-dimensional Luttinger liquid. The relevance of these results for C 60 and related molecules is discussed.

ON THE THEORY OF THE ONE-DIMENSIONAL LUTTINGER LIQUID

1993 ◽  
Vol 07 (09) ◽  
pp. 641-653 ◽  
Author(s):  
DJORDJE MINIC
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Luttinger Liquid ◽  
Point Of View ◽  
One Dimensional ◽  
Basic Properties ◽  
Conformal Field ◽  
The One

Basic properties of the one-dimensional Luttinger liquid are studied from the point of view of an effective conformal field theory.

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

scholarly journals A Short Review on One Dimensional Wigner Crystallization

2020 ◽  
Author(s):  
Niccolo Traverso Ziani ◽  
Fabio Cavaliere ◽  
Karina Guerrero Becerra ◽  
Maura Sassetti
Keyword(s):  
Carbon Nanotubes ◽  
Structural Transition ◽  
Luttinger Liquid ◽  
Electronic System ◽  
Short Review ◽  
One Dimensional ◽  
Basic Properties ◽  
Wigner Crystallization ◽  
Liquid Theory ◽  
The One

The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting fermions will be shortly addressed, together with the basic properties of carbon nanotubes that are require. Then, the most relevant properties of Wigner molecules will be addressed, and finally the experiments will be described.

scholarly journals THERMAL FIELD THEORY IN A WIRE: APPLICATIONS OF THERMAL FIELD THEORY METHODS TO THE PROPAGATION OF PHOTONS IN A ONE-DIMENSIONAL PLASMA

2011 ◽  
Vol 26 (32) ◽  
pp. 5387-5402 ◽  
Author(s):  
JOSÉ F. NIEVES
Keyword(s):  
Field Theory ◽  
Thermal Field Theory ◽  
Thermal Field ◽  
Free Field ◽  
Dynamical Variable ◽  
Effective Field ◽  
Dispersion Relations ◽  
One Dimensional ◽  
Self Energy ◽  
The One

The Thermal Field Theory methods are applied to calculate the dispersion relation of the photon propagating modes in a strictly one-dimensional (1D) ideal plasma. The electrons are treated as a gas of particles that are confined to a 1D tube or wire, but are otherwise free to move, without reference to the electronic wave functions in the coordinates that are transverse to the idealized wire, or relying on any features of the electronic structure. The relevant photon dynamical variable is an effective field in which the two space coordinates that are transverse to the wire are collapsed. The appropriate expression for the photon free-field propagator in such a medium is obtained, the one-loop photon self-energy is calculated and the (longitudinal) dispersion relations are determined and studied in some detail. Analytic formulas for the dispersion relations are given for the case of a degenerate electron gas, and the results differ from the long-wavelength formula that is quoted in the literature for the strictly 1D plasma. The dispersion relations obtained resemble the linear form that is expected in realistic quasi-1D plasma systems for the entire range of the momentum, and which have been observed in this kind of system in recent experiments.

The thermal coherent state and its application to the one-dimensional field theory

1985 ◽  
Vol 18 (1) ◽  
pp. 149-164 ◽  
Author(s):  
Guang-jiong Ni ◽  
Jian-jun Xu ◽  
Wei Chen
Keyword(s):  
Field Theory ◽  
Coherent State ◽  
One Dimensional ◽  
The One

scholarly journals MOMENTUM DISTRIBUTION OF ITINERANT ELECTRONS IN THE ONE-DIMENSIONAL FALICOV–KIMBALL MODEL

2003 ◽  
Vol 17 (27) ◽  
pp. 4897-4911 ◽  
Author(s):  
PAVOL FARKAŠOVSKÝ
Keyword(s):  
Momentum Distribution ◽  
Ground States ◽  
Local Maximum ◽  
Singular Behavior ◽  
Coulomb Interactions ◽  
Unusual Behavior ◽  
One Dimensional ◽  
Itinerant Electrons ◽  
Half Filling ◽  
The One

The momentum distribution nk of itinerant electrons in the one-dimensional Falicov–Kimball model is calculated for various ground-state phases. In particular, we examine the periodic phases with period two, three and four (that are ground-states for all Coulomb interactions) as well as the phase separated states (that are ground states for small Coulomb interactions). For all periodic phases examined the momentum distribution is a smooth function of k with no sign of any discontinuity or singular behavior at the Fermi surface k=kF. An unusual behavior of nk (a local maximum) is found at k=3kF for electron concentrations outside half-filling. For the phase separated ground states the momentum distribution nk exhibits discontinuity at k=k0<kF. This behavior is interpreted in terms of a Fermi liquid.

scholarly journals q-Deformed Anisotropic Superexchange Interaction, Frustration and GLpq(2)

1998 ◽  
Vol 12 (21) ◽  
pp. 859-866 ◽  
Author(s):  
S. Grillo ◽  
H. Montani
Keyword(s):  
Boundary Condition ◽  
Quantum Group ◽  
Group Structure ◽  
Superexchange Interaction ◽  
Dimensional Chain ◽  
Interaction Theory ◽  
Standard Quantum ◽  
One Dimensional ◽  
Local Rotation ◽  
The One

We study a suitable q-deformed version of the Moriya's superexchange interaction theory by means of its underlying quantum group structure. We show that the one-dimensional chain case is associated with the non-standard quantum group GL pq(2), evidencing the integrability structure of the system. This biparametric deformation of GL(2; C) arise as a twisting of GL q(2) and it match exactly the local rotation appearing in the Shekhtman's work.1 This allow us to express the frustration condition in terms of this twisting, also showing that effect of the Moriya's vector amounts to a twisting of the boundary condition.

scholarly journals Flat-band dark polaritons in two-dimensional chiral-waveguide quantum electrodynamics

2021 ◽  
Vol 2015 (1) ◽  
pp. 012088
Author(s):  
Y. Marques ◽  
I. A. Shelykh ◽  
I. V. Iorsh
Keyword(s):  
Quantum Dots ◽  
Quantum Electrodynamics ◽  
Semiconductor Quantum Dots ◽  
Flat Band ◽  
Combined Effects ◽  
Strongly Correlated ◽  
Two Dimensional ◽  
One Dimensional ◽  
Flat Bands ◽  
The One

Abstract We consider a two-dimensional extension of the one-dimensional waveguide quantum electrodynamics and investigate the nature of linear excitations in two-dimensional arrays of qubits (particularly, semiconductor quantum dots) coupled to networks of chiral waveguides. We show that the combined effects of chirality and long-range photon mediated qubit-qubit interactions lead to the emergence of the two-dimensional flat bands in the polaritonic spectrum, corresponding to slow strongly correlated light.

FOUR-DIMENSIONAL TWO-BRANE SOLUTION IN CHIRAL GAUGED WESS-ZUMINO-WITTEN MODEL

1992 ◽  
Vol 07 (32) ◽  
pp. 2999-3006 ◽  
Author(s):  
SWAPNA MAHAPATRA
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Target Space ◽  
Curvature Singularity ◽  
One Dimensional ◽  
Conformal Field ◽  
Witten Theory ◽  
Brane Solution ◽  
The One ◽  
String Propagation

An exact conformal field theory describing a four-dimensional two-brane solution is found by considering a chiral gauged Wess-Zumino-Witten theory corresponding to SL (2, R)× R, where one gauges the one-dimensional U(1) subgroup together with a translation in R. The backgrounds for string propagation are explicitly obtained and the target space is shown to have a true curvature singularity.

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