EFFECT OF LONG-RANGE DENSITY-DISPLACEMENT TYPE INTERACTION ON SMALL POLARON

2010 ◽  
Vol 24 (32) ◽  
pp. 6323-6333
Author(s):  
BAKHROM YAVIDOV
Keyword(s):  
Long Range ◽  
Small Polaron ◽  
Dimensional Chain ◽  
One Dimensional ◽  
Holstein Model ◽  
Neighboring Chain ◽  
Type Interaction ◽  
Polaron Formation ◽  
Exact Calculations ◽  
Range Density

In this work, renormalization of effective mass of an electron due to small polaron formation is studied within the framework of Extended Holstein model. It is assumed that electron moves along one-dimensional chain of ions and interacts with ions vibrations of neighboring chain via long-range density–displacement type force. By means of exact calculations, renormalized mass of nonadiabatic small polaron is obtained at strong coupling limit. Obtained results compared with those of small polaron mass of ordinary Holstein model. An effect of ions vibrations polarization on small polaron mass is addressed.

Study of the one-dimensional Holstein model with next-nearest-neighbor hopping

2010 ◽  
Vol 23 (2) ◽  
pp. 025601 ◽  
Author(s):  
Monodeep Chakraborty ◽  
A N Das ◽  
Atisdipankar Chakrabarti
Keyword(s):  
Nearest Neighbor ◽  
One Dimensional ◽  
Holstein Model ◽  
The One

scholarly journals Quasi-1D XY antiferromagnet Sr2Ni(SeO3)2Cl2 at Sakai-Takahashi phase diagram

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
E. S. Kozlyakova ◽  
A. V. Moskin ◽  
P. S. Berdonosov ◽  
V. V. Gapontsev ◽  
S. V. Streltsov ◽  
...  
Keyword(s):  
Phase Diagram ◽  
Long Range ◽  
Density Functional ◽  
Uniaxial Anisotropy ◽  
Exchange Interactions ◽  
Spin Liquid ◽  
Functional Theory ◽  
One Dimensional ◽  
Ordered Phases ◽  
Experimental Findings

AbstractUniform quasi-one-dimensional integer spin compounds are of interest as a potential realization of the Haldane conjecture of a gapped spin liquid. This phase, however, has to compete with magnetic anisotropy and long-range ordered phases, the implementation of which depends on the ratio of interchain J′ and intrachain J exchange interactions and both uniaxial D and rhombic E single-ion anisotropies. Strontium nickel selenite chloride, Sr2Ni(SeO3)2Cl2, is a spin-1 chain system which passes through a correlations regime at Tmax ~ 12 K to long-range order at TN = 6 K. Under external magnetic field it experiences the sequence of spin-flop at Bc1 = 9.0 T and spin-flip transitions Bc2 = 23.7 T prior to full saturation at Bsat = 31.0 T. Density functional theory provides values of the main exchange interactions and uniaxial anisotropy which corroborate the experimental findings. The values of J′/J = 0.083 and D/J = 0.357 place this compound into a hitherto unoccupied sector of the Sakai-Takahashi phase diagram.

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