Frustration induced noncollinear magnetic order phase in one-dimensional Heisenberg chain with alternating antiferromagnetic and ferromagnetic next nearest neighbor interactions

作者: Jian-Jun Jiang , Cui-Hong Yang , Fei Tang

DOI: 10.7566/JPSJ.84.124710

关键词:

摘要: By using the coupled cluster method, numerical exact diagonalization and density matrix renormalization group we investigated properties of one-dimensional Heisenberg chain with alternating antiferromagnetic ferromagnetic next nearest neighbor interactions. In classical limit, ground state is in collinear Neel if a 1/2, there an noncollinear canted state. For quantum case, found that, although absent, exists frustration parameter exceeds critical point ac1. The precise ac1 can be determined by method separately. results both disclose that type phase transition occurring at changes from second-order to first-order due fluctuation. Although another ac2 finite system which evolves plus state, absent because tends infinity thermodynamic limit.

参考文章(59)
R. F. Bishop, P. H. Y. Li, D. J. J. Farnell, J. Richter, C. E. Campbell, Frustrated Heisenberg antiferromagnet on the checkerboard lattice: J(1)-J(2) model Physical Review B. ,vol. 85, pp. 205122- ,(2012) , 10.1103/PHYSREVB.85.205122
Tota Nakamura, Kenn Kubo, Elementary excitations in the Delta chain Physical Review B. ,vol. 53, pp. 6393- 6400 ,(1996) , 10.1103/PHYSREVB.53.6393
P. H. Y. Li, R. F. Bishop, D. J. J. Farnell, J. Richter, C. E. Campbell, Ground-state phases of the frustrated spin-1/2 $J_1$--$J_2$--$J_3$ Heisenberg ferromagnet ($J_1 0$ Physical Review B. ,vol. 85, pp. 085115- ,(2012) , 10.1103/PHYSREVB.85.085115
J. Richter, R. Darradi, J. Schulenburg, D. J. J. Farnell, H. Rosner, Frustrated spin-1/2 J1-J2 Heisenberg ferromagnet on the square lattice studied via exact diagonalization and coupled-cluster method Physical Review B. ,vol. 81, pp. 174429- ,(2010) , 10.1103/PHYSREVB.81.174429
Wooseop Kwak, Joohyeok Jeong, Juhee Lee, Dong-Hee Kim, First-order phase transition and tricritical scaling behavior of the Blume-Capel model: A Wang-Landau sampling approach Physical Review E. ,vol. 92, pp. 022134- 022134 ,(2015) , 10.1103/PHYSREVE.92.022134
R. Zinke, Damian J. J. Farnell, J. Richter, J. Schulenburg, High-order coupled cluster method study of frustrated and unfrustrated quantum magnets in external magnetic fields Journal of Physics: Condensed Matter. ,vol. 21, pp. 406002- ,(2009) , 10.1088/0953-8984/21/40/406002
D. J. J. Farnell, R. Darradi, R. Schmidt, J. Richter, Spin-half Heisenberg antiferromagnet on two archimedian lattices: From the bounce lattice to the maple-leaf lattice and beyond Physical Review B. ,vol. 84, pp. 104406- ,(2011) , 10.1103/PHYSREVB.84.104406
V. Ya. Krivnov, D. V. Dmitriev, S. Nishimoto, S.-L. Drechsler, J. Richter, Delta chain with ferromagnetic and antiferromagnetic interactions at the critical point Physical Review B. ,vol. 90, pp. 014441- ,(2014) , 10.1103/PHYSREVB.90.014441
P. H. Y. Li, R. F. Bishop, C. E. Campbell, Frustrated spin-(1)/(2) Heisenberg antiferromagnet on a chevron-square lattice Physical Review B. ,vol. 88, pp. 144423- ,(2013) , 10.1103/PHYSREVB.88.144423