Infinite-randomness fixed points for chains of non-Abelian quasiparticles.

Infinite-randomness fixed points for chains of non-Abelian quasiparticles.
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DOI:
10.1103/physrevlett.99.140405
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发表时间:
2006-12
影响因子:
8.6
通讯作者:
N. Bonesteel;Kun Yang
N. Bonesteel;Kun Yang
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
N. Bonesteel;Kun Yang

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由SU(2)k Chern-Simons-维滕理论描述的一维非阿贝尔准粒子链可以进入类似于普通自旋为1/2的粒子链(对应于k-->无穷大)的随机单态相。对于k=2,该相位提供了临界横向场伊辛模型的无限随机不动点的随机单态描述。在这些相位中,尺寸为L的区域的纠缠熵的尺度为S(L),对于大的L,约为lnd/3log(2)L,其中d是粒子的量子尺寸。
One-dimensional chains of non-Abelian quasiparticles described by SU(2)k Chern-Simons-Witten theory can enter random singlet phases analogous to that of a random chain of ordinary spin-1/2 particles (corresponding to k-->infinity). For k=2 this phase provides a random singlet description of the infinite-randomness fixed point of the critical transverse field Ising model. The entanglement entropy of a region of size L in these phases scales as S(L) approximately lnd/3 log(2)L for large L, where d is the quantum dimension of the particles.