scholarly journals Theoretical study of (4.4) and (8.8) “armchair”-type carbon nanotubes in a strongly correlated electron model

2021 ◽  
Author(s):  
N.G. Matveeva ◽  
◽  
G.I. Mironov ◽  
Keyword(s):  
Carbon Nanotubes ◽  
Theoretical Study ◽  
Strongly Correlated ◽  
Strongly Correlated Electron ◽  
Electron Model ◽  
Correlated Electron

scholarly journals VIOLATION OF LUTTINGER'S THEOREM IN STRONGLY CORRELATED ELECTRONIC SYSTEMS WITHIN A 1/N EXPANSION

1999 ◽  
Vol 13 (20) ◽  
pp. 2607-2627 ◽  
Author(s):  
EMMANUELE CAPPELLUTI ◽  
ROLAND ZEYHER
Keyword(s):  
Degrees Of Freedom ◽  
Electronic Systems ◽  
Strongly Correlated ◽  
Leading Order ◽  
Strongly Correlated Electron ◽  
Electron Model ◽  
Self Energy ◽  
Correlated Electron ◽  
Strongly Correlated Electronic Systems ◽  
Stable Particles

We study the 1/N expansion of a generic, strongly correlated electron model ( SU (N) symmetric Hubbard model with U=∞ and N degrees of freedom per lattice site) in terms of X operators. The leading order of the expansion describes a usual Fermi liquid with renormalized, stable particles. The next-to-leading order violates Luttinger's theorem if a finite convergence radius for the 1/N expansion for a fixed and non-vanishing doping away from half-filling is assumed. We find that the volume enclosed by the Fermi surface, is at large, but finite N's and small dopings larger than at N=∞. As a by-product an explicit expression for the electronic self-energy in O(1/N) is given which cannot be obtained by factorization or mode-coupling assumptions but contains rather sophisticated vertex corrections.

scholarly journals BETHE ANSATZ SOLUTION OF THE ANISOTROPIC CORRELATED ELECTRON MODEL ASSOCIATED WITH THE TEMPERLEY–LIEB ALGEBRA

1998 ◽  
Vol 13 (25) ◽  
pp. 4309-4324 ◽  
Author(s):  
A. LIMA-SANTOS ◽  
I. RODITI ◽  
A. FOERSTER
Keyword(s):  
Boundary Conditions ◽  
Bethe Ansatz ◽  
Electron System ◽  
Strongly Correlated ◽  
Strongly Correlated Electron ◽  
Electron Model ◽  
Strongly Correlated Electron System ◽  
Correlated Electron ◽  
Bethe Ansatz Solution ◽  
Correlated Electron System

A recently proposed strongly correlated electron system associated with the Temperley–Lieb algebra is solved by means of the coordinate Bethe ansatz for periodic and closed boundary conditions.

scholarly journals Strongly correlated electron behavior in carbon nanotubes

2012 ◽  
Vol 23 ◽  
pp. 00019 ◽  
Author(s):  
Bockrath Marc ◽  
Vikram V. Deshpande ◽  
Bhupesh Chandra ◽  
Robert Caldwell ◽  
Dmitry S. Novikov ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Strongly Correlated ◽  
Strongly Correlated Electron ◽  
Correlated Electron
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