Finite size corrections for one-dimensional interacting fermions with small spin flipping

1992 ◽  
Vol 163 (4) ◽  
pp. 250-253
Author(s):  
Hang Su ◽  
Yi-Min Liu ◽  
Fu-Cho Pu
Keyword(s):  
Finite Size ◽  
One Dimensional ◽  
Finite Size Corrections

Thermodynamic properties of a finite one-dimensional system of bosons with repulsive delta-function interaction

1995 ◽  
Vol 73 (3-4) ◽  
pp. 245-247
Author(s):  
K. L. Poon ◽  
K. Young ◽  
D. Kiang
Keyword(s):  
Thermodynamic Properties ◽  
Thermodynamic Limit ◽  
General Model ◽  
Finite Size ◽  
Delta Function ◽  
One Dimension ◽  
Dimensional System ◽  
One Dimensional ◽  
Finite Size Corrections

The thermodynamics of N bosons in a length L in one dimension, with repulsive delta-function interaction, is studied numerically for finite N, L. The results show the nature of finite-size corrections and how the thermodynamic limit is approached, and hopefully will be of some guidance in seeking the solution of a more general model.

Mixture of interacting supersymmetric spinless fermions and bosons in a one-dimensional trap

2016 ◽  
Vol 30 (25) ◽  
pp. 1630007 ◽  
Author(s):  
P. Schlottmann
Keyword(s):  
Gas Phase ◽  
Ground State ◽  
State Energy ◽  
Optical Trap ◽  
Interaction Strength ◽  
Finite Size ◽  
One Dimension ◽  
One Dimensional ◽  
Bethe Ansatz Solution ◽  
Finite Size Corrections

We consider a gas mixture consisting of spinless fermions and bosons in one dimension interacting via a repulsive [Formula: see text]-function potential. Bosons and fermions are assumed to have equal masses and the interaction strength between bosons and among bosons and fermions is the same. Using the Bethe ansatz solution of the model, we study the ground state properties, the dressed energy potentials for the two bands of rapidities, the elementary particle and hole excitations, the thermodynamics, the finite size corrections to the ground state energy leading to the conformal towers, and the asymptotic behavior at large distances of some relevant correlation functions. The low-energy excitations of the system form a two-component Luttinger liquid. In an elongated optical trap the gas phase separates as a function of the distance from the center of the trap.

Finite Size Corrections for One Dimensional Interacting Fermions

1992 ◽  
Vol 9 (8) ◽  
pp. 393-396
Author(s):  
Liu Yimin ◽  
Pu Fuque (Fu-Cho Pu) ◽  
Su Hang
Keyword(s):  
Finite Size ◽  
One Dimensional ◽  
Finite Size Corrections

Universality of finite-size corrections to geometrical entanglement in one-dimensional quantum critical systems

2016 ◽  
Vol 69 (7) ◽  
pp. 1212-1218 ◽  
Author(s):  
Xi-Jing Liu ◽  
Bing-Quan Hu ◽  
Sam Young Cho ◽  
Huan-Qiang Zhou ◽  
Qian-Qian Shi
Keyword(s):  
Finite Size ◽  
Critical Systems ◽  
One Dimensional ◽  
Quantum Critical ◽  
Finite Size Corrections

scholarly journals Fermi-Liquid Features of the One-Dimensional Luttinger Liquid

1998 ◽  
Vol 12 (32) ◽  
pp. 3465-3473 ◽  
Author(s):  
Yupeng Wang
Keyword(s):  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Finite Size ◽  
Electron Systems ◽  
Dynamical Correlation ◽  
One Dimensional ◽  
Conformal Field ◽  
Liquid Theory ◽  
The One ◽  
Finite Size Corrections

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Ferimi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the one-dimensional Fermi-liquid theory. Exact correspondence between the Landau parameters and Haldane parameters is established. The exponents of the dynamical correlation functions and the impurity problem are also discussed based on the finite size corrections of elementary excitations with the predictions of the conformal field theory, which provides a bridge between the one-dimensional Fermi-liquid and the Luttinger liquid.

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