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Using infinite projected entangled pair states (iPEPS), exact diagonalization, and flavor-wave theory, we show that the SU(4) Heisenberg model undergoes a spontaneous dimerization on the square lattice, in contrast to its SU(2) and SU(3) counterparts, which develop Neel and three-sublattice stripe-like long-range order.
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2009
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The d d –electron system LiNiO 2 [ 25 ] and the f f –electron system CeB 6 [ 26 ] are believed to be quite close to an SU(4) symmetric model
Cited in the paper.
On two sites, the Bogoliubov transformation is singular because [ A i j † , A i j ] = 0 [A^{\dagger}_{ij},A^{\phantom{\dagger}}_{ij}]=0 . However, the ground state energy can be shown to be equal to -1, and the zero point energy to vanish because the frequencies of the two underlying harmonic oscillators are equal to zero. A pair of zero frequency modes is actually present on all finite clusters
Cited in the paper.
We verified our results up to a bond-dimension D = 8 D=8 with the so-called full-update (cf. [ 19 ] ), which is optimal but computationally more expensive
Cited in the paper.
The N = 8 N=8 sample is a periodic square cell spanned by the two vectors 𝐓 1 = ( 2 , 2 ) \mathbf{T}_{1}=(2,2) and 𝐓 2 = ( − 2 , 2 ) \mathbf{T}_{2}=(-2,2) . N = 16 N=16 is spanned by 𝐓 1 = ( 4 , 0 ) \mathbf{T}_{1}=(4,0) and 𝐓 2 = ( 0 , 4 ) \mathbf{T}_{2}=(0,4) and N = 20 N=20 is spanned by 𝐓 1 = ( 4 , 2 ) \mathbf{T}_{1}=(4,2) and 𝐓 2 = ( − 2 , 4 ) \mathbf{T}_{2}=(-2,4)
Cited in the paper.
S. Singh, R. N. C. Pfeifer, and G. Vidal, Phys. Rev. B 83
2011
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