Properties of the Squeezed Polarons in One Dimension

1998 ◽  
Vol 12 (22) ◽  
pp. 2225-2232 ◽  
Author(s):  
Xiyu Su ◽  
Hang Zheng

An electron related squeezed phonon transformation is employed to investigate the ground state properties of the strongly coupled electron–phonon system in one dimension. It has been shown that the binding energy of the polaron and the interaction between the polarons are renormalized together with the energy reducement of the electron subsystem resulted from the squeeze state of the phonon subsystem. Some relevance with the earlier variational treatments has been discussed as well.

2013 ◽  
Vol 22 (01) ◽  
pp. 1350001 ◽  
Author(s):  
S. K. SINGH ◽  
M. IKRAM ◽  
S. K. PATRA

We calculate the ground state properties of recently synthesized superheavy elements (SHEs) from Z = 105–118 along with the predicted proton magic Z = 120. The relativistic and nonrelativistic mean field formalisms are used to evaluate the binding energy (BE), charge radius, quadrupole deformation parameter and the density distribution of nucleons. We analyzed the stability of the nuclei based on BE and neutron to proton ratio. We also studied the bubble structure which reveals the special features of the superheavy nuclei.


1990 ◽  
Vol 41 (10) ◽  
pp. 5473-5477 ◽  
Author(s):  
S. Orozco ◽  
M. A. Ortíz ◽  
R. M. Méndez-Moreno

2003 ◽  
Vol 17 (31n32) ◽  
pp. 6031-6056
Author(s):  
XIAO-FENG PANG

Changes in the physical properties such as the ground state properties, charge density wave ordering, binding energy and energy bandwidth of polaron and quantum fluctuation, and minimum uncertainty relation of phonons and nonadiabatically coupled electron–phonon systems with spin-1/2 have been investigated by our new state ansatz which can account for correlation among the phononic displacement, squeezing and polaron effects using variational method in one-dimensional Holstein model. The investigation here shows that the squeezing–antisqueezing effect (correlated) results in a decrease of the ground state energy, an increase of the binding energy of polarons, the reduction of the uncertainty and quantum fluctuation of the phonons, a decrease of polaron narrowing of electron bandwidth, an increase of tunneling effect of the polarons and an increase of CDW ordering and phonon staggered ordering when compared with the uncorrelated case. Therefore, this shows that the ground state determined by the new state ansatz is the most stable. The new ansatz which include the squeezing–antisqueezing (correlated) effect is very relevant for the coupled electron–phonon systems, especially in strongly coupled and highly squeezed cases.


2014 ◽  
Vol 31 (3) ◽  
pp. 030301 ◽  
Author(s):  
Yan Chen ◽  
Ke-Zhi Zhang ◽  
Xiao-Liang Wang ◽  
Yong Chen

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