Thermodynamic functions of the S=(1/2 one-dimensional ferromagnet via the renormalization-group approach and Green’s function technique

1989 ◽  
Vol 39 (13) ◽  
pp. 9224-9230 ◽  
Author(s):  
L. S. Campana ◽  
A. Caramico D’Auria ◽  
U. Esposito ◽  
G. Kamieniarz
Keyword(s):  
Renormalization Group ◽  
Green’S Function ◽  
Green's Function ◽  
Thermodynamic Functions ◽  
Function Technique ◽  
Group Approach ◽  
One Dimensional ◽  
Renormalization Group Approach

scholarly journals RENORMALIZATION GROUP APPROACH TO THE PROBLEM OF FLOW THROUGH IRREGULAR PACKED BEDS

2000 ◽  
Vol 14 (09) ◽  
pp. 963-981
Author(s):  
DMITRI VOLCHENKOV ◽  
RICARDO LIMA
Keyword(s):  
Differential Equation ◽  
Renormalization Group ◽  
Green’S Function ◽  
Green's Function ◽  
Nonlinear Diffusion ◽  
Arbitrary Dimension ◽  
Packed Beds ◽  
Group Approach ◽  
Renormalization Group Approach ◽  
Flow Through

We have calculated the asymptotics of Green's function of the differential equation of nonlinear diffusion in the microscopic range with strong porosity fluctuations in the problem of flow through irregular packed beds for the arbitrary dimension of space and arbitrary porosity fluctuations covariance.

scholarly journals Renormalization Group Approach to a One-Dimensional Cooperative T–e Jahn-Teller System

1977 ◽  
Vol 32 (1) ◽  
pp. 111-112
Author(s):  
S. Brühl ◽  
E. Sigmund
Keyword(s):  
Free Energy ◽  
Renormalization Group ◽  
Ising Model ◽  
Linear Chain ◽  
Group Approach ◽  
One Dimensional ◽  
Renormalization Group Approach ◽  
Jahn Teller ◽  
Jahn Teller Effect ◽  
The One

Abstract A linear chain of T-e molecules exhibiting the cooperative Jahn-Teller effect is considered. Following Nauenberg's1 treatment of the one-dimensional Ising model a renormalization group approach is used. The series-expansion of the free energy is put into a closed form.

Electron transport through two one-dimensional multi-quantum dot arrays coupled to four leads

2018 ◽  
Vol 32 (27) ◽  
pp. 1850333 ◽  
Author(s):  
Zelong He ◽  
Kongfa Chen ◽  
Mengchun Lu ◽  
Qiang Li
Keyword(s):  
Quantum Dots ◽  
Quantum Dot ◽  
Green’S Function ◽  
Green's Function ◽  
Energy Levels ◽  
Transmission Probability ◽  
Function Technique ◽  
One Dimensional ◽  
Resonance Band ◽  
Dc Current

Employing the non-equilibrium Green’s function technique, we have obtained the formula for dc current of two one-dimensional multi-quantum dot arrays, which couple to each other via tunneling coupling between two quantum dots connected to four leads, respectively. The retarded Green’s function is a staircase type, terminating at the four leads. Furthermore, the four quantum dots case is demonstrated. The influence of inter-dot coupling strength and quantum dot energy level on the transmission probability for TL, TM and TN branches is investigated. A non-resonant band is observed. By adjusting energy levels of quantum dots, a resonance emerges in the region of the non-resonance band. The system can be used as a quantum switch.

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