MOLECULE FORMATION AND THE FAREY TREE IN THE ONE-DIMENSIONAL FALICOV-KIMBALL MODEL

被引:50
作者
GRUBER, C [1 ]
UELTSCHI, D [1 ]
JEDRZEJEWSKI, J [1 ]
机构
[1] UNIV WROCLAW,INST THEORET PHYS,PL-50204 WROCLAW,POLAND
关键词
FALICOV-KIMBALL MODEL; GROUND STATES; PHASE DIAGRAM; PHASE SEPARATIONS; MOLECULES;
D O I
10.1007/BF02188658
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The ground-state configurations of the one-dimensional Falicov-Kimball model are studied exactly with numerical calculations revealing unexpected effects for small interaction strength. In neutral systems we observe molecular formation, phase separation, and changes in the conducting properties; while in nonneutral systems the phase diagram exhibits Farey tree order (Aubry sequence) and a devil's staircase structure. Conjectures are presented for the boundary of the segregated domain and the general structure of the ground states.
引用
收藏
页码:125 / 157
页数:33
相关论文
共 26 条
[1]  
AUBRY S, 1983, J PHYS LETT-PARIS, V44, pL247, DOI 10.1051/jphyslet:01983004407024700
[2]   MODULATED PHASES IN THE FALICOV-KIMBALL MODEL [J].
BARMA, M ;
SUBRAHMANYAM, V .
PHASE TRANSITIONS, 1989, 16 :303-307
[3]   GROUND-STATE PROPERTIES OF A SPINLESS FALICOV-KIMBALL MODEL - ADDITIONAL FEATURES [J].
BRANDT, U ;
SCHMIDT, R .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1987, 67 (01) :43-51
[4]   PHASE-SEPARATION IN THE SPINLESS FALICOV-KIMBALL MODEL [J].
BRANDT, U .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1991, 84 (5-6) :477-486
[5]   EXACT RESULTS FOR THE DISTRIBUTION OF THE F-LEVEL GROUND-STATE OCCUPATION IN THE SPINLESS FALICOV-KIMBALL MODEL [J].
BRANDT, U ;
SCHMIDT, R .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1986, 63 (01) :45-53
[6]   SELF-SIMILARITY AND FRACTAL DIMENSION OF THE DEVILS STAIRCASE IN THE ONE-DIMENSIONAL ISING-MODEL [J].
BRUINSMA, R ;
BAK, P .
PHYSICAL REVIEW B, 1983, 27 (09) :5824-5825
[7]   SIMPLE MODEL FOR SEMICONDUCTOR-METAL TRANSITIONS - SMB6 AND TRANSITION-METAL OXIDES [J].
FALICOV, LM ;
KIMBALL, JC .
PHYSICAL REVIEW LETTERS, 1969, 22 (19) :997-&
[8]   2-STATE ONE-DIMENSIONAL SPINLESS FERMI GAS [J].
FREERICKS, JK ;
FALICOV, LM .
PHYSICAL REVIEW B, 1990, 41 (04) :2163-2172
[9]   GROUND-STATES OF THE SPINLESS FALICOV-KIMBALL MODEL .2. [J].
GRUBER, C ;
JEDRZEJEWSKI, J ;
LEMBERGER, P .
JOURNAL OF STATISTICAL PHYSICS, 1992, 66 (3-4) :913-938
[10]   GROUND-STATE CONFIGURATIONS OF THE ONE-DIMENSIONAL FALICOV-KIMBALL MODEL [J].
GRUBER, C ;
LEBOWITZ, JL ;
MACRIS, N .
PHYSICAL REVIEW B, 1993, 48 (07) :4312-4324