Self-trapping transition for nonlinear impurities embedded in a Cayley tree

被引:5
作者
Gupta, BC [1 ]
Lee, SB [1 ]
机构
[1] Kyungpook Natl Univ, Dept Phys, Taegu 702701, South Korea
关键词
D O I
10.1103/PhysRevB.63.144302
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The self-trapping transition due to a single and a dimer nonlinear impurity embedded in a Cayley tree is studied. In particular, the effect of a perfectly nonlinear Cayley tree is considered. A sharp self-trapping transition is observed in each case. It is also observed that the transition is much sharper compared to the case of one-dimensional lattices, For each system, the critical values of chi for the self-trapping transitions are found to obey a power-law behavior as a function of the connectivity K of the Cayley tree.
引用
收藏
页数:6
相关论文
共 39 条
[1]   EXACT-SOLUTIONS FOR THE QUANTUM NONLINEAR TRIMER [J].
ANDERSEN, JD ;
KENKRE, VM .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1993, 177 (02) :397-404
[2]   SELF-TRAPPING AND TIME EVOLUTION IN SOME SPATIALLY EXTENDED QUANTUM NONLINEAR-SYSTEMS - EXACT-SOLUTIONS [J].
ANDERSEN, JD ;
KENKRE, VM .
PHYSICAL REVIEW B, 1993, 47 (17) :11134-11142
[3]   POLARON BAND THEORY AS LINEARIZED SOLITON THEORY [J].
BROWN, DW ;
LINDENBERG, K ;
WEST, BJ .
PHYSICAL REVIEW B, 1988, 37 (06) :2946-2954
[4]   LOCALIZED STATES IN DISCRETE NONLINEAR SCHRODINGER-EQUATIONS [J].
CAI, D ;
BISHOP, AR ;
GRONBECHJENSEN, N .
PHYSICAL REVIEW LETTERS, 1994, 72 (05) :591-595
[5]   NONADIABATIC NONLINEAR IMPURITIES IN LINEAR HOSTS [J].
CHEN, D ;
MOLINA, MI ;
TSIRONIS, GP .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1993, 5 (46) :8689-8702
[6]   Time evolution of models described by a one-dimensional discrete nonlinear Schrodinger equation [J].
Datta, PK ;
Kundu, K .
PHYSICAL REVIEW B, 1996, 53 (22) :14929-14936
[7]  
DAVYDOV AS, 1982, SOV PHYS USP, V25, P898, DOI DOI 10.1070/PU1982V025N12ABEH005012
[8]   ORGANIC-SOLIDS - IS ENERGY-BAND THEORY ENOUGH [J].
DUKE, CB ;
SCHEIN, LB .
PHYSICS TODAY, 1980, 33 (02) :42-48
[9]   SELF-TRAPPING TRANSITION FOR A NONLINEAR IMPURITY EMBEDDED IN A LATTICE [J].
DUNLAP, DH ;
KENKRE, VM ;
REINEKER, P .
PHYSICAL REVIEW B, 1993, 47 (22) :14842-14849
[10]   THE DISCRETE SELF-TRAPPING EQUATION [J].
EILBECK, JC ;
LOMDAHL, PS ;
SCOTT, AC .
PHYSICA D-NONLINEAR PHENOMENA, 1985, 16 (03) :318-338