由随机质量定域的格点费米子的有效质量和三临界点
Effective mass and tricritical point for lattice fermions localized by a random mass
摘要：
本文用交错费米子晶格模型研究了对称类\textit{BD}（例如在手征\textit{p}波超导体中实现的）中的准粒子局域化。对于足够弱的无序，系统的平均（热）电导率$σ$的大小依赖性很好地描述了一个有效质量$M_{\rm eff}$，依赖于随机质量$M(\bm{r})$的前两个时刻。有效质量线性消失时，平均质量$\bar{M}\to 0$，再现已知的绝缘体-绝缘体相边界与尺度不变的无量纲电导率$σ_{c}=1/π$和临界指数$ν=1$。对于强无序，出现向金属相的过渡，具有较大的$σ_{c}$但相同的$ν$。金属-绝缘体和绝缘体-绝缘体相边界的交点被确定为\textit{repulsive}三临界点。
英文摘要：
This is a numerical study of quasiparticle localization in symmetry class \textit{BD} (realized, for example, in chiral \textit{p}-wave superconductors), by means of a staggered-fermion lattice model for two-dimensional Dirac fermions with a random mass. For sufficiently weak disorder, the system size dependence of the average (thermal) conductivity $σ$ is well described by an effective mass $M_{\rm eff}$, dependent on the first two moments of the random mass $M(\bm{r})$. The effective mass vanishes linearly when the average mass $\bar{M}\to 0$, reproducing the known insulator-insulator phase boundary with a scale invariant dimensionless conductivity $σ_{c}=1/π$ and critical exponent $ν=1$. For strong disorder a transition to a metallic phase appears, with larger $σ_{c}$ but the same $ν$. The intersection of the metal-insulator and insulator-insulator phase boundaries is identified as a \textit{repulsive} tricritical point.
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