Consistent bosonization treatment of interacting fermion systems in dimensions higher than one: Requirement for a Luttinger-liquid state

1995 ◽  
Vol 51 (19) ◽  
pp. 13046-13058 ◽  
Author(s):  
Y. M. Li
Keyword(s):  
Liquid State ◽  
Luttinger Liquid ◽  
Fermion Systems

DISAPPEARANCE OF THE INFRARED CATASTROPHE IN D>1 INTERACTING FERMION SYSTEMS

1995 ◽  
Vol 09 (17) ◽  
pp. 1087-1095
Author(s):  
Y.M. LI
Keyword(s):  
Coulomb Interaction ◽  
Liquid State ◽  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Hole Pair ◽  
Fermion Systems ◽  
First Time ◽  
Singular Interactions ◽  
Zero Frequency

Within a consistent bosonization treatment in which all the physically-relevant excitations are taken into account, we show explicitly and non-perturbatively for the first time that, for regular interactions, the infrared catastrophe is eliminated by the zero-frequency particle-hole-pair excitations so that the Luttinger liquid state does not appear in dimensions higher than one. The infrared catastrophe is scarce even for systems with singular interactions due to these excitations. We find that the system remains in a Fermi liquid state for the case of unscreened Coulomb interaction.

scholarly journals Stability of the Tomonaga–Luttinger liquid state in gamma-irradiated carbon nanotube bundles

2013 ◽  
Vol 25 (47) ◽  
pp. 475302 ◽  
Author(s):  
B A Danilchenko ◽  
N A Tripachko ◽  
E A Voitsihovska ◽  
I I Yaskovets ◽  
I Y Uvarova ◽  
...  
Keyword(s):  
Carbon Nanotube ◽  
Liquid State ◽  
Luttinger Liquid ◽  
Nanotube Bundles ◽  
Gamma Irradiated

scholarly journals Surface Tomonaga-Luttinger-Liquid State onBi/InSb(001)

2015 ◽  
Vol 115 (25) ◽  
Author(s):  
Yoshiyuki Ohtsubo ◽  
Jun-ichiro Kishi ◽  
Kenta Hagiwara ◽  
Patrick Le Fèvre ◽  
François Bertran ◽  
...  
Keyword(s):  
Liquid State ◽  
Luttinger Liquid

Charge Density Modulation and the Luttinger Liquid State in MoSe2 Mirror Twin Boundaries

ACS Nano ◽  
2020 ◽  
Vol 14 (8) ◽  
pp. 10716-10722 ◽  
Author(s):  
Yipu Xia ◽  
Junqiu Zhang ◽  
Yuanjun Jin ◽  
Wingkin Ho ◽  
Hu Xu ◽  
...  
Keyword(s):  
Charge Density ◽  
Liquid State ◽  
Luttinger Liquid ◽  
Twin Boundaries ◽  
Density Modulation

Incidence of the Tomonaga-Luttinger liquid state on the NMR spin-lattice relaxation in carbon nanotubes

2010 ◽  
Vol 90 (1) ◽  
pp. 17004 ◽  
Author(s):  
Y. Ihara ◽  
P. Wzietek ◽  
H. Alloul ◽  
M. H. Rümmeli ◽  
Th. Pichler ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Liquid State ◽  
Luttinger Liquid ◽  
Lattice Relaxation ◽  
Spin Lattice Relaxation ◽  
Spin Lattice

scholarly journals Geometry and topological order in the Luttinger liquid state

2004 ◽  
Vol 65 (4) ◽  
pp. 512-518 ◽  
Author(s):  
H. V Kruis ◽  
I. P McCulloch ◽  
Z Nussinov ◽  
J Zaanen
Keyword(s):  
Liquid State ◽  
Luttinger Liquid ◽  
Topological Order

Direct observation of Tomonaga–Luttinger-liquid state in carbon nanotubes at low temperatures

Nature ◽  
2003 ◽  
Vol 426 (6966) ◽  
pp. 540-544 ◽  
Author(s):  
Hiroyoshi Ishii ◽  
Hiromichi Kataura ◽  
Hidetsugu Shiozawa ◽  
Hideo Yoshioka ◽  
Hideo Otsubo ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Direct Observation ◽  
Liquid State ◽  
Low Temperatures ◽  
Luttinger Liquid
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