Numerical study of magnetization plateaus in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice

被引:11
作者
Capponi, Sylvain [1 ,2 ]
机构
[1] Univ Toulouse, CNRS, IRSAMC, Phys Theor Lab, F-31062 Toulouse, France
[2] Boston Univ, Dept Phys, 590 Commonwealth Ave, Boston, MA 02215 USA
关键词
ORDER; GAP;
D O I
10.1103/PhysRevB.95.014420
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present numerical evidence that the spin-1/2 Heisenberg model on the two-dimensional checkerboard lattice exhibits several magnetization plateaus for m = 0, 1/4, 1/2, and 3/4, where m is the magnetization normalized by its saturation value. These incompressible states correspond to somewhat similar valence-bond crystal phases that break lattice symmetries, though they are different from the already established plaquette phase for m = 0. Our results are based on exact diagonalization as well as density-matrix renormalization-group large-scale simulations and interpreted in terms of simple parameter-free trial wave functions.
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页数:7
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共 45 条
[1]   Finite-volume energy spectrum, fractionalized strings, and low-energy effective field theory for the quantum dimer model on the square lattice [J].
Banerjee, D. ;
Bogli, M. ;
Hofmann, C. P. ;
Jiang, F. -J. ;
Widmer, P. ;
Wiese, U. -J. .
PHYSICAL REVIEW B, 2016, 94 (11)
[2]   Interfaces, strings, and a soft mode in the square lattice quantum dimer model [J].
Banerjee, D. ;
Boegli, M. ;
Hofmann, C. P. ;
Jiang, F. -J. ;
Widmer, P. ;
Wiese, U. -J. .
PHYSICAL REVIEW B, 2014, 90 (24)
[3]   The (2+1)-d U(1) quantum link model masquerading as deconfined criticality [J].
Banerjee, D. ;
Jiang, F. -J. ;
Widmer, P. ;
Wiese, U-J .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2013,
[4]   Singlet excitations in pyrochlore: A study of quantum frustration [J].
Berg, E ;
Altman, E ;
Auerbach, A .
PHYSICAL REVIEW LETTERS, 2003, 90 (14)
[5]   Planar pyrochlore antiferromagnet:: A large-N analysis -: art. no. 214427 [J].
Bernier, JS ;
Chung, CH ;
Kim, YB ;
Sachdev, S .
PHYSICAL REVIEW B, 2004, 69 (21) :214427-1
[6]   Planar pyrochlore: A strong-coupling analysis [J].
Brenig, W ;
Honecker, A .
PHYSICAL REVIEW B, 2002, 65 (14) :1-4
[7]   An XY checkerboard antiferromagnet in an external field [J].
Canals, B ;
Zhitomirsky, ME .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2004, 16 (11) :S759-S764
[8]   From the square lattice to the checkerboard lattice:: Spin-wave and large-n limit analysis -: art. no. 184408 [J].
Canals, B .
PHYSICAL REVIEW B, 2002, 65 (18) :1-8
[9]   Numerical study of magnetization plateaus in the spin-1/2 kagome Heisenberg antiferromagnet [J].
Capponi, Sylvain ;
Derzhko, Oleg ;
Honecker, Andreas ;
Laeuchli, Andreas M. ;
Richter, Johannes .
PHYSICAL REVIEW B, 2013, 88 (14)
[10]   Tensor network simulation of the phase diagram of the frustrated J1-J2 Heisenberg model on a checkerboard lattice [J].
Chan, Y. -H. ;
Han, Y. -J. ;
Duan, L. -M. .
PHYSICAL REVIEW B, 2011, 84 (22)