Ai-Min Chen, Dong-Chang Liu, Jia Duan, Hong-Lei Wang, Chun-Huan Xiang, Yao-Heng Su. Quantum phase transition and topological order scaling in spin-1 bond-alternating Heisenberg model with Dzyaloshinskii-Moriya interaction [J]. Acta Physica Sinica, 2020, 69(9): 090302-1
- Acta Physica Sinica
- Vol. 69, Issue 9, 090302-1 (2020)
Fig. 1. (a) Odd-bond von Neumann entropy
and (b) even-bond von Neumann entropy
as a function of
for D = 0.5 and D = 1.
and (b) even-bond von Neumann entropy
as a function of
for 
Fig. 2. Dimer order parameter
as a function of
for (a) D = 0.5 and (b) D = 1 (first derivation of
in the insert).
as a function of
for (a) in the insert). 
Fig. 3. Dimer order parameter
as a function of DM interaction D for
.
as a function of DM interaction . Fig. 4. Non-local topological string order parameter as a function of
.
. Fig. 5. Phase diagram of spin-1 bond-alternating Heisenberg model with DM interaction.
Fig. 6. Characteristic critical exponent
from the first derivative of the dimer order
for (a) D = 0, (b) D = 0.5, and (c) D = 1 in the vicinity of the critical points
,
, and
, respectively.
from the first derivative of the dimer order
for (a) ,
, and
, respectively. Fig. 7. Characteristic critical exponent
from the nonlocal topological string order
for (a) D = 0.5 and (b) D = 1 in the vicinity of the critical points
and
, respectively.
from the nonlocal topological string order
for (a) and
, respectively.
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Table 1. Characteristic critical exponent β for different DM interactions
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