Multimagnon bound states in the frustrated ferromagnetic one-dimensional chain

被引:116
作者
Kecke, Lars [1 ]
Momoi, Tsutomu [1 ]
Furusaki, Akira [1 ]
机构
[1] RIKEN, Condensed Matter Theory Lab, Wako, Saitama 3510198, Japan
来源
PHYSICAL REVIEW B | 2007年 / 76卷 / 06期
关键词
D O I
10.1103/PhysRevB.76.060407
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study a one-dimensional Heisenberg chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor interactions in a magnetic field. Starting from the fully polarized high-field state, we calculate the dispersions of the lowest-lying n-magnon excitations and the saturation field (n=2,3,4). We show that the lowest-lying excitations are always bound multimagnon states with a total momentum of pi except for a small parameter range. We argue that Bose condensation of the bound n magnons leads to novel Tomonaga-Luttinger liquids with multipolar correlations; nematic- and triatic-ordered liquids correspond to n=2 and n=3.
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页数:4
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共 13 条
[1]   Magnetization jump in the XXZ chain with next-nearest-neighbor exchange [J].
Aligia, AA .
PHYSICAL REVIEW B, 2001, 63 (01)
[2]   Magnetic properties of zig-zag ladders [J].
Cabra, DC ;
Honecker, A ;
Pujol, P .
EUROPEAN PHYSICAL JOURNAL B, 2000, 13 (01) :55-73
[3]   CHIRAL, NEMATIC, AND DIMER STATES IN QUANTUM SPIN CHAINS [J].
CHUBUKOV, AV .
PHYSICAL REVIEW B, 1991, 44 (09) :4693-4696
[4]   Frustrated ferromagnetic spin-1/2 chain in a magnetic field [J].
Dmitriev, DV ;
Krivnov, VY .
PHYSICAL REVIEW B, 2006, 73 (02)
[5]   Frustrated cuprate route from antiferromagnetic to ferromagnetic spin-1/2 Heisenberg chains:: Li2ZrCuO4 as a missing link near the quantum critical point [J].
Drechsler, S. -L. ;
Volkova, O. ;
Vasiliev, A. N. ;
Tristan, N. ;
Richter, J. ;
Schmitt, M. ;
Rosner, H. ;
Malek, J. ;
Klingeler, R. ;
Zvyagin, A. A. ;
Buechner, B. .
PHYSICAL REVIEW LETTERS, 2007, 98 (07)
[6]   Quantum helimagnetism of the frustrated spin-1/2 chain LiCuVO4 [J].
Enderle, M ;
Mukherjee, C ;
Fåk, B ;
Kremer, RK ;
Broto, JM ;
Rosner, H ;
Drechsler, SL ;
Richter, J ;
Malek, J ;
Prokofiev, A ;
Assmus, W ;
Pujol, S ;
Raggazzoni, JL ;
Rakoto, H ;
Rheinstädter, M ;
Ronnow, HM .
EUROPHYSICS LETTERS, 2005, 70 (02) :237-243
[7]   EXACT SOLUTION OF THE GROUND-STATE FOR UNIFORMLY DISTRIBUTED RVB IN ONE-DIMENSIONAL SPIN-1/2 HEISENBERG SYSTEMS WITH FRUSTRATION [J].
HAMADA, T ;
KANE, J ;
NAKAGAWA, S ;
NATSUME, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1988, 57 (06) :1891-1894
[8]   Magnetic properties of Rb2Cu2Mo3O12 including a one-dimensional spin-1/2 Heisenberg system with ferromagnetic first-nearest-neighbor and antiferromagnetic second-nearest-neighbor exchange interactions -: art. no. 104426 [J].
Hase, M ;
Kuroe, H ;
Ozawa, K ;
Suzuki, O ;
Kitazawa, H ;
Kido, G ;
Sekine, T .
PHYSICAL REVIEW B, 2004, 70 (10) :104426-1
[9]   Frustrated ferromagnetic spin-1/2 chain in a magnetic field: The phase diagram and thermodynamic properties [J].
Heidrich-Meisner, F. ;
Honecker, A. ;
Vekua, T. .
PHYSICAL REVIEW B, 2006, 74 (02)
[10]   Exact one- and two-particle excitation spectra of acute-angle helimagnets above their saturation magnetic field [J].
Kuzian, R. O. ;
Drechsler, S. -L. .
PHYSICAL REVIEW B, 2007, 75 (02)