论文标题
假想磁场下的蜂窝状晶状体iSANTANTICE ANTANTICE的保真度敏感性分析
Fidelity-susceptibility analysis of the honeycomb-lattice Ising antiferromagnet under the imaginary magnetic field
论文作者
论文摘要
honeycomb-lattice ising抗铁磁体受到假想磁场$ h =iθt /2 $，其“拓扑”角度$θ$和温度$ t $数值研究了。为了治疗这种复杂值的统计权重，我们采用了转移矩阵方法。作为检测订单订单阶段过渡的探测，我们诉诸于Fidelity $ f $的扩展版本，即使对于这种非官员转移矩阵也很有意义。作为初步调查，对于$θ$的中间值，我们通过保真度易感性$χ_f^{（θ）} $研究了相变。与普通量化器（如磁敏感性）相比，Fidelity易感性$χ_f^{（θ）} $具有显着的签名。因此，我们分析了$θ=π$的订单disorder相边界的终点奇点。我们将$χ_f^{（θ）} $数据投入到交叉缩放公式中，并仔细缩放了$δθ=π-θ$。我们对跨界指数$ ϕ $的结果似乎与平均场和方形晶格值不同，这表明晶格结构对$θ=π$的多临界性产生微妙的影响。
The honeycomb-lattice Ising antiferromagnet subjected to the imaginary magnetic field $H=iθT /2$ with the "topological" angle $θ$ and temperature $T$ was investigated numerically. In order to treat such a complex-valued statistical weight, we employed the transfer-matrix method. As a probe to detect the order-disorder phase transition, we resort to an extended version of the fidelity $F$, which makes sense even for such a non-hermitian transfer matrix. As a preliminary survey, for an intermediate value of $θ$, we investigated the phase transition via the fidelity susceptibility $χ_F^{(θ)}$. The fidelity susceptibility $χ_F^{(θ)}$ exhibits a notable signature for the criticality as compared to the ordinary quantifiers such as the magnetic susceptibility. Thereby, we analyze the end-point singularity of the order-disorder phase boundary at $θ=π$. We cast the $χ_F^{(θ)}$ data into the crossover-scaling formula with $δθ= π-θ$ scaled carefully. Our result for the crossover exponent $ϕ$ seems to differ from the mean-field and square-lattice values, suggesting that the lattice structure renders subtle influences as to the multi-criticality at $θ=π$.
