3-态量子Potts自旋链的负值度和有限标度理论

Negativity and Finite Scale Behavior of 3-State Quantum Potts Spin Chains

利用量子重整化群变换方法研究了3-态量子Potts自旋链在临界点附近的负值度N(g)和系统的有限标度行为.利用元块—格点变换给出系统的重整化群方程,然后利用该方程研究了不同尺度Potts自旋链负值度N(g)随着有效磁场g的变化关系,发现负值度N(g)随着有效磁场g增大由1减小为0,并且在临界点附近系统尺度越大负值度N(g)下降越剧烈.进一步利用负值度导数绝对值|dN(g)/dg|的最大值随着系统尺度变化,给出在临界点附近不同尺度系统的负值度N(g)满足有限标度行为.

The negativity and finite scale behavior of 3-state quantum Potts spin chains are investigated using quantum renormalization group method.Quantum renormalization group functions are obtained using the block-site transformation.Using those functions the relation of negativity N(g)versus g is exhibited,which shows that the negativity N(g)decreases from 1 to 0 asincreases,and it decreases fast near the critical point as the size of system increases.The maximum of|dN(g)/dg|shows that the finite scale behavior is satisfied with the negativity of different size spin chains.