scholarly journals Single-particle path integral for composite fermions and the renormalization of the effective mass

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
Kasper Astrup Eriksen ◽  
Per Hedegård ◽  
Henrik Bruus
Keyword(s):  
Effective Mass ◽  
Path Integral ◽  
Single Particle ◽  
Composite Fermions ◽  
Particle Path

Path Integral Calculations of Particle Self-Energy and Effective Mass in Coulomb Systems

1997 ◽  
Vol 11 (04) ◽  
pp. 129-138 ◽  
Author(s):  
V. Sa-Yakanit ◽  
V. D. Lakhno ◽  
Klaus Haß
Keyword(s):  
Effective Mass ◽  
Path Integral ◽  
State Energy ◽  
Coulomb Systems ◽  
Integral Approach ◽  
Coupling Region ◽  
Self Energy ◽  
Consistent Approximation ◽  
A Value ◽  
Wide Range

The generalized path integral approach is applied to calculate the ground state energy and the effective mass of an electron-plasmon interacting system for a wide range of densities. It is shown that in the self-consistent approximation an abrupt transition between the weak coupling and the strong coupling region of interaction exists. The transition occurs at low electron densities according to a value of 418 for rs, when Wigner crystallization is possible. For densities of real metals, the electron bandwidth is calculated and a comparison with experimental results is given.

scholarly journals Feynman Path-Integral Calculation of the Polaron Effective Mass

1970 ◽  
Vol 2 (10) ◽  
pp. 4283-4287 ◽  
Author(s):  
John T. Marshall ◽  
M. S. Chawla
Keyword(s):  
Effective Mass ◽  
Path Integral ◽  
Feynman Path Integral ◽  
Feynman Path
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