scholarly journals Numerical study of finite size effects in the one-dimensional two-impurity Anderson model

2008 ◽  
Vol 77 (23) ◽  
Author(s):  
S. Costamagna ◽  
J. A. Riera
Keyword(s):  
Anderson Model ◽  
Size Effects ◽  
Numerical Study ◽  
Finite Size ◽  
Finite Size Effects ◽  
One Dimensional ◽  
The One

Fermi surface of the one-dimensional Hubbard model: Finite-size effects

1989 ◽  
Vol 162-164 ◽  
pp. 805-806
Author(s):  
C. Bourbonnais ◽  
H. Nelisse ◽  
A. Reid ◽  
A.-M.S. Tremblay
Keyword(s):  
Fermi Surface ◽  
Hubbard Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
One Dimensional ◽  
The One

scholarly journals Numerical Simulation of Non-Equilibrium Stationary Currents Through Nano-scale One-Dimensional Chains

2020 ◽  
Vol 233 ◽  
pp. 05010
Author(s):  
João Pedro dos Santos Pires ◽  
Bruno Amorim ◽  
João Manuel Viana Parente Lopes
Keyword(s):  
Numerical Simulation ◽  
Size Effects ◽  
Tight Binding ◽  
Finite Size ◽  
Initial Condition ◽  
Zero Temperature ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Open Boundaries ◽  
The One

Using a method based on the time-evolution of the occupied states at zero temperature, we observe the onset of a quasi-uniform and quasisteady state current across a disordered tight-binding chain, coupled between two finite (but large) clean leads with open boundaries. This current is seen to match the one obtained in the Landauer-Büttiker formalism and is also independent of the initial condition considered (partitioned or non-partitioned). Finite-size effects are also reported and briefly discussed.

scholarly journals Finite-size effects on topological interface states in one-dimensional scattering systems

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
P. A. Kalozoumis ◽  
G. Theocharis ◽  
V. Achilleos ◽  
S. Félix ◽  
O. Richoux ◽  
...  
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Interface States ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Scattering Systems

scholarly journals Suppression of finite-size effects in one-dimensional correlated systems

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
A. Gendiar ◽  
M. Daniška ◽  
Y. Lee ◽  
T. Nishino
Keyword(s):  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
Correlated Systems ◽  
One Dimensional

scholarly journals Homogeneous one-dimensional Bose–Einstein condensate in the Bogoliubov’s regime

2016 ◽  
Vol 30 (22) ◽  
pp. 1650307 ◽  
Author(s):  
Elías Castellanos
Keyword(s):  
Ground State ◽  
Size Effects ◽  
Finite Size ◽  
Einstein Condensate ◽  
Finite Size Effects ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Ground State Properties ◽  
Low Dimensional ◽  
Bose Einstein

We analyze the corrections caused by finite size effects upon the ground state properties of a homogeneous one-dimensional (1D) Bose–Einstein condensate. We assume from the very beginning that the Bogoliubov’s formalism is valid and consequently, we show that in order to obtain a well-defined ground state properties, finite size effects of the system must be taken into account. Indeed, the formalism described in the present paper allows to recover the usual properties related to the ground state of a homogeneous 1D Bose–Einstein condensate but corrected by finite size effects of the system. Finally, this scenario allows us to analyze the sensitivity of the system when the Bogoliubov’s regime is valid and when finite size effects are present. These facts open the possibility to apply these ideas to more realistic scenarios, e.g. low-dimensional trapped Bose–Einstein condensates.

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