Valence-bond crystal and anisotropic excitation spectrum on 3-dimensionally frustrated pyrochlore

被引:41
作者
Isoda, M [1 ]
Mori, S [1 ]
机构
[1] Fukuyama Univ, Dept Phys, Fukuyama, Hiroshima 7290292, Japan
关键词
valence-bond crystal; tetrahedron singlet; pyrochlore; bond-operator; quantum Heisenberg; Y(Sc)Mn-2;
D O I
10.1143/JPSJ.67.4022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The valence-bond crystal is proposed as a ground state of spin-1/2 Heisenberg antiferromagnet on 3-dimensional fully frustrated pyrochlore by the Lond-operator theory. This crystal, formed as a set of RVB-like tetrahedral singlet states, has lower energy than the state consisting of two dimers in a tetrahedron. The spectra of triplet excitation have a finite gap and a symmetry lower than that of the lattice. The comparison with Y(Sc)Mn-2 is discussed.
引用
收藏
页码:4022 / 4025
页数:4
相关论文
共 18 条
[1]   THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].
ANDERSON, PW .
SCIENCE, 1987, 235 (4793) :1196-1198
[2]   ORDERING AND ANTIFERROMAGNETISM IN FERRITES [J].
ANDERSON, PW .
PHYSICAL REVIEW, 1956, 102 (04) :1008-1013
[3]   Spin fluctuations in (Y0.97Sc0.03)Mn-2: A geometrically frustrated, nearly antiferromagnetic, itinerant electron system [J].
Ballou, R ;
LelievreBerna, E ;
Fak, B .
PHYSICAL REVIEW LETTERS, 1996, 76 (12) :2125-2128
[4]   Pyrochlore antiferromagnet: A three-dimensional quantum spin liquid [J].
Canals, B ;
Lacroix, C .
PHYSICAL REVIEW LETTERS, 1998, 80 (13) :2933-2936
[5]  
CHANDRA P, 1995, STRONGLY INTERACTING
[6]   ORDERING BY QUANTUM FLUCTUATIONS IN A STRONGLY FRUSTRATED HEISENBERG-ANTIFERROMAGNET [J].
HARRIS, AB ;
BERLINSKY, AJ ;
BRUDER, C .
JOURNAL OF APPLIED PHYSICS, 1991, 69 (08) :5200-5202
[7]  
Liebmann R., 1986, STAT MECH PERIODIC F
[8]   IS Y(SC)MN-2 REALLY A QUANTUM SPIN LIQUID [J].
MEKATA, M ;
ASANO, T ;
SUGINO, T ;
NAKAMURA, H ;
ASAI, N ;
SHIGA, M ;
KEREN, A ;
KOJIMA, K ;
LUKE, GM ;
WU, WD ;
UEMURA, YJ ;
DUNSINGER, S ;
GINGRAS, M .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1995, 140 :1767-1768
[9]   Properties of a classical spin liquid: The Heisenberg pyrochlore antiferromagnet [J].
Moessner, R ;
Chalker, JT .
PHYSICAL REVIEW LETTERS, 1998, 80 (13) :2929-2932
[10]   Strong antiferromagnetic spin fluctuations and the quantum spin-liquid state in geometrically frustrated beta-Mn, and the transition to a spin-glass state caused by non-magnetic impurity [J].
Nakamura, H ;
Yoshimoto, K ;
Shiga, M ;
Nishi, M ;
Kakurai, K .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1997, 9 (22) :4701-4728