GROUP THEORETICAL CLASSIFICATION OF THE HARTREE-FOCK SOLUTIONS OF THE HUBBARD-MODEL ON A TRIANGULAR LATTICE

被引:4
作者
IKAWA, A [1 ]
OZAKI, M [1 ]
机构
[1] NIIHAMA NATL COLL TECHNOL,NIIHAMA 792,JAPAN
关键词
D O I
10.1088/0953-8984/4/15/016
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
Group theoretically possible spin density waves (SDWS) of the Hubbard model on a triangular lattice are found and classified for ordering vectors q of K and M in the Brillouin zone by finding the maximal subgroups of the symmetry group of the Hamiltonian. It is found that classifications of SDWS with these ordering vectors are reduced to classifications of SDWS on molecules with D3 and T(d) symmetries, respectively. From this reduction we found two axial-type SDWS (ASDW) and one plane-type SDW (PSDW) for point K and three ASDWS, two PSDWS and one cubic- (three-dimensional-) type SDW (CSDW) for point M. The standard mean-field Hamiltonians and their invariance groups are listed for each class.
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页码:4039 / 4046
页数:8
相关论文
共 12 条
[1]  
Bradley C., 2009, MATH THEORY SYMMETRY
[3]   MULTIPLE SPIN-DENSITY WAVE STATE AND SYMMETRY IN FCC ANTIFERROMAGNETS [J].
JO, T ;
HIRAI, K .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1984, 53 (09) :3183-3190
[4]   NOVEL MAGNETIC-STRUCTURE OF A VORTEX LATTICE IN ADSORBED HE-3 FILMS [J].
MACHIDA, K ;
FUJITA, M .
PHYSICAL REVIEW B, 1990, 42 (04) :2673-2676
[5]   PROPERTIES OF BREAKING OF HADRONIC INTERNAL SYMMETRY [J].
MICHEL, L ;
RADICATI, LA .
ANNALS OF PHYSICS, 1971, 66 (02) :758-&
[6]  
MICHEL L, 1971, CR ACAD SCI A MATH, V272, P433
[9]   GROUP THEORETICAL CLASSIFICATION OF SOLUTIONS OF UNRESTRICTED HARTREE-FOCK EQUATION IN MOLECULAR SYSTEMS WITH A SPATIAL POINT SYMMETRY [J].
OZAKI, M ;
FUKUTOME, H .
PROGRESS OF THEORETICAL PHYSICS, 1978, 60 (05) :1322-1336