Low energy behaviour of a one dimensional Fermi model with short and long range interaction

1975 ◽  
Vol 17 (1) ◽  
pp. 63-65 ◽  
Author(s):  
J. Sólyom
Keyword(s):  
Long Range ◽  
Low Energy ◽  
Range Interaction ◽  
Fermi Model ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Energy Behaviour

One-dimensional Ising model with long-range interaction

1970 ◽  
Vol 31 (9) ◽  
pp. 479-480 ◽  
Author(s):  
L.J. Kijewski ◽  
M.P. Kawatra
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction

EXISTENCE OF FOUR DISTINCT PHASES IN ONE DIMENSIONAL MANY-BODY SYSTEMS WITH LONG-RANGE INTERACTION: QUANTUM KOSTERLITZ–THOULESS TRANSITIONS

2001 ◽  
Vol 15 (06n07) ◽  
pp. 175-182
Author(s):  
KAZUMOTO IGUCHI
Keyword(s):  
Long Range ◽  
Luttinger Liquid ◽  
Scaling Theory ◽  
Wigner Crystal ◽  
Many Body ◽  
Range Interaction ◽  
One Dimensional ◽  
Ground State Wavefunction ◽  
Long Range Interaction ◽  
Many Body Systems

We conceptually study the existence of four distinct quantum phases: the Luttinger liquid, the Wigner crystal, the Coulomb plasma and the molecular crystal in one-dimensional many-body systems with long-range interaction. We show that the anomaly of the ground state wavefunction indicates a quantum Kosterlitz–Thouless transition at zero temperature, which separates into two regimes of the Luttinger liquid and the Wigner crystal. We also postulate a scaling theory which discriminate the four phases using the Kosterlitz–Thouless scaling theory.

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