Boundary effects in the critical scaling of entanglement entropy in 1D systems

被引：211
|
作者：
Laflorencie, N
Sorensen, ES
Chang, MS
Affleck, I
机构：
[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
[2] McMaster Univ, Dept Phys & Astron, Hamilton, ON L8S 4M1, Canada
来源：
PHYSICAL REVIEW LETTERS | 2006年 / 96卷 / 10期
关键词：
D O I：
10.1103/PhysRevLett.96.100603
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present exact diagonalization and density matrix renormalization group results for the entanglement entropy of critical spin-1/2 XXZ chains. We find that open boundary conditions induce an alternating term in both the energy density and the entanglement entropy which are approximately proportional, decaying away from the boundary with a power law. The power varies with anisotropy along the XXZ critical line and is corrected by a logarithmic factor, which we calculate analytically, at the isotropic point. A heuristic resonating valence bond explanation is suggested.
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页数：4
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