Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model
Entanglement entropy and massless phase in the antiferromagnetic three-state quantum chiral clock model
复制标题
反铁磁三态量子手性时钟模型中的纠缠熵和无质量相位
DOI：
10.1103/physrevb.95.014419
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发表时间：
2016-08
影响因子：
3.7
通讯作者：
Zhou Huan Qiang
中科院分区：
文献类型：
--
作者：
Dai Yan Wei;Cho Sam Young;Batchelor Murray T;Zhou Huan Qiang
利用冯·诺依曼纠缠熵估计了混合铁磁-反铁磁三态量子波茨模型$H={\ensuremath{\sum}}_{i}[J({X}_{i}{X}_{i+1}^{\phantom{\rule{0.16em}{0ex}}2}+{X}_{i}^{\phantom{\rule{0.16em}{0ex}}2的临界点${h}_{c}/J_(0.143)$}{X}_{i+1})\ensuremath{-}h\phantom{\rule{0.16em}{0ex}}{R}_{i}]$，其中${X}_{i}$和${R}_{i}$是标准的三态Potts自旋算符，$Jg0$是反铁磁耦合参数。该临界值对三态量子手性钟模型$\mathrm{\ensuremath{\Delta}}\ensuremath{-}\ensuremath{\beta}$相图反铁磁区的两个Kosterlitz-Thouless转变点给出了改进的估计值，这里的手性和耦合参数分别为手性和耦合参数。这些是无公度相和公度相之间的转换点${\ensuremath{\beta}}_{c}\ensuremath{\simeq}\ensuremath{-}0.143(3)$，它们位于无序和无公度相之间的${\ensuremath{\beta}}_{c}\ensuremath{\simeq}\ensuremath{-}7.0(1)$=0$。利用von Neumann熵计算了无质量相的共形场论的中心电荷。这一阶段的估计值与纯反铁磁三态量子Potts模型所对应的特定点h/J=-1$的已知精确值一致。无质量相的Potts自旋-自旋关联的代数衰变被用来估计连续变化的临界指数。
The von Neumann entanglement entropy is used to estimate the critical point ${h}_{c}/J\ensuremath{\simeq}0.143(3)$ of the mixed ferro-antiferromagnetic three-state quantum Potts model $H={\ensuremath{\sum}}_{i}[J({X}_{i}{X}_{i+1}^{\phantom{\rule{0.16em}{0ex}}2}+{X}_{i}^{\phantom{\rule{0.16em}{0ex}}2}{X}_{i+1})\ensuremath{-}h\phantom{\rule{0.16em}{0ex}}{R}_{i}]$, where ${X}_{i}$ and ${R}_{i}$ are standard three-state Potts spin operators and $Jg0$ is the antiferromagnetic coupling parameter. This critical point value gives improved estimates for two Kosterlitz-Thouless transition points in the antiferromagnetic ($\ensuremath{\beta}l0$) region of the $\mathrm{\ensuremath{\Delta}}\ensuremath{-}\ensuremath{\beta}$ phase diagram of the three-state quantum chiral clock model, where $\mathrm{\ensuremath{\Delta}}$ and $\ensuremath{\beta}$ are, respectively, the chirality and coupling parameters in the clock model. These are the transition points ${\ensuremath{\beta}}_{c}\ensuremath{\simeq}\ensuremath{-}0.143(3)$ at $\mathrm{\ensuremath{\Delta}}=\frac{1}{2}$ between incommensurate and commensurate phases and ${\ensuremath{\beta}}_{c}\ensuremath{\simeq}\ensuremath{-}7.0(1)$ at $\mathrm{\ensuremath{\Delta}}=0$ between disordered and incommensurate phases. The von Neumann entropy is also used to calculate the central charge $c$ of the underlying conformal field theory in the massless phase $h\ensuremath{\le}{h}_{c}$. The estimate $c\ensuremath{\simeq}1$ in this phase is consistent with the known exact value at the particular point $h/J=\ensuremath{-}1$ corresponding to the purely antiferromagnetic three-state quantum Potts model. The algebraic decay of the Potts spin-spin correlation in the massless phase is used to estimate the continuously varying critical exponent $\ensuremath{\eta}$.
DOI：
10.1142/0983
发表时间：
1991-02
期刊：
--
影响因子：
--
作者：
P. Martin
通讯作者：
P. Martin