Ground and excited states of a bound polaron in a purely two-dimensional quantum well

1991 ◽  
Vol 3 (47) ◽  
pp. 9401-9416 ◽  
Author(s):  
S Sil ◽  
A Chatterjee
2002 ◽  
Vol 80 (7) ◽  
pp. 781-786
Author(s):  
Y P Varshni

The energies of ten excited states of screened two-dimensional excitons in a semiconducting quantum-well structure are calculated as a function of the screening parameter qs by the WKB method. The screening of the Coulomb interaction between the electron–hole pair by the free carriers present is taken into account by using the screened potential obtained by Stern and Howard (1967). The energies of the excited states are found to decrease with increasing values of the screening parameter qs in all cases. Further the levels become unbound at finite values of the screening parameter. Critical screening parameters are estimated for the ten states. PACS Nos.: 73.21Fg, 78.67De, 71.35-y, 71.35Cc


2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Jiaju Zhang ◽  
M.A. Rajabpour

Abstract We investigate the Rényi entropy of the excited states produced by the current and its derivatives in the two-dimensional free massless non-compact bosonic theory, which is a two-dimensional conformal field theory. We also study the subsystem Schatten distance between these states. The two-dimensional free massless non-compact bosonic theory is the continuum limit of the finite periodic gapless harmonic chains with the local interactions. We identify the excited states produced by current and its derivatives in the massless bosonic theory as the single-particle excited states in the gapless harmonic chain. We calculate analytically the second Rényi entropy and the second Schatten distance in the massless bosonic theory. We then use the wave functions of the excited states and calculate the second Rényi entropy and the second Schatten distance in the gapless limit of the harmonic chain, which match perfectly with the analytical results in the massless bosonic theory. We verify that in the large momentum limit the single-particle state Rényi entropy takes a universal form. We also show that in the limit of large momenta and large momentum difference the subsystem Schatten distance takes a universal form but it is replaced by a new corrected form when the momentum difference is small. Finally we also comment on the mutual Rényi entropy of two disjoint intervals in the excited states of the two-dimensional free non-compact bosonic theory.


1995 ◽  
Vol 74 (21) ◽  
pp. 4355-4355 ◽  
Author(s):  
P. O. Holtz ◽  
Q. X. Zhao ◽  
C. I. Harris ◽  
J. P. Bergman ◽  
T. Lundström ◽  
...  

1997 ◽  
Author(s):  
Sumith V. Bandara ◽  
Sarath D. Gunapala ◽  
John K. Liu ◽  
Winn Hong ◽  
Jin S. Park

Nano Letters ◽  
2012 ◽  
Vol 12 (10) ◽  
pp. 5311-5317 ◽  
Author(s):  
Rachel Fainblat ◽  
Julia Frohleiks ◽  
Franziska Muckel ◽  
Jung Ho Yu ◽  
Jiwoong Yang ◽  
...  

2D Materials ◽  
2018 ◽  
Vol 6 (1) ◽  
pp. 014001
Author(s):  
G M Gusev ◽  
O E Raichev ◽  
E B Olshanetsky ◽  
A D Levin ◽  
Z D Kvon ◽  
...  

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