论文标题
磁场对带有狄拉克电子的准二维系统中超导性和量子关键的影响
Effects of a Magnetic Field on Superconductivity and Quantum Criticality in Quasi-Two-Dimensional Systems with Dirac Electrons
论文作者
论文摘要
我们研究了外部磁场对任意温度下狄拉克电子的准二维系统的透射式相位图的影响。在零温度下，存在一个连接正常和超导相的量子相变，该阶段发生在临界线上，该临界线与依赖于临界偶联参数的磁场相对应，应在包含狄拉克电子的平面材料（例如$ cu_xtise_2 $）中观察到。此外，超导间隙是根据温度，磁场和耦合参数（$λ_ {\ rm rm r} $）获得的。由此，我们提取临界磁场$ b_ {c} $作为温度的函数。对于$ b_ {c} $的小值，我们获得了关键场的线性衰减，该衰减类似于在铜掺杂的Dichalcogenide $ cu_xtise_2 $中观察到的行为，也与插入的石墨中相似。
We study the effects of an external magnetic field on thensuperconducting phase diagram of a quasi-two-dimensional system of Dirac electrons at an arbitrary temperature. At zero temperature, there is a quantum phase transition connecting a normal and a superconducting phase, occurring at a critical line that corresponds to a magnetic field dependent critical coupling parameter, which should be observed in planar materials containing Dirac electrons, such as $Cu_xTiSe_2$. Moreover, the superconducting gap is obtained as a function of temperature, magnetic field and coupling parameter ($λ_{\rm R}$). From this, we extract the critical magnetic field $ B_{ c } $ as a function of the temperature. For small values of $ B_{ c } $, we obtain a linear decay of the critical field, which is similar to the behavior observed experimentally in the copper doped dichalcogenide $Cu_xTiSe_2$ and also in intercalated graphite.
