一般外尔超导体混合态中的朗道能级与光学电导
Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
AI总结：
本文通过可调节Bogoliubov-Weyl锥倾斜度的异质结构模型，研究一般外尔超导体混合态的朗道能级结构与光学电导，发现倾斜锥的压缩LL、角度依赖的量子化条件及II型锥独特的低频带内跃迁峰，为区分锥类型提供指标。
摘要：
大多数超导体混合态中的低能准粒子态因涡旋核周围存在超流而保持布洛赫波特性。相比之下，外尔超导体（WSC）在涡旋晶格存在时可能呈现狄拉克-朗道能级。本文利用异质结构模型研究一般WSC混合态的朗道能级（LL）结构与光学电导，该模型可调节 Bogoliubov-Weyl（BW）锥的倾斜度，产生I型（欠倾斜）或II型（过倾斜）锥。研究发现，磁场中混合态的倾斜I型BW锥可能出现间距减小的压缩LL；而II型锥的能谱依赖于磁场与倾斜方向的夹角，仅当夹角低于临界值时LL量子化才可能发生。零倾斜时，WSC混合态的光学电导仅在光子频率$ω_n \u221d \u221a{n}+\u221a{n+1}$处出现峰，且存在线性背景；但BW锥的倾斜会导致超出常规偶极跃迁的光学跃迁出现，II型BW锥在低频处出现独特的带内跃迁电导峰，这可作为区分WSC中I型与II型BW锥的指标。
英文摘要：
The low-energy quasiparticle states in the mixed state of most superconductors remain Bloch waves due to the presence of supercurrent around vortex cores. In contrast, the Weyl superconductor (WSC) may display Dirac-Landau levels in the presence of a vortex lattice. Here, we investigate the Landau level (LL) structure and optical conductivity in the mixed state of a generic WSC using a heterostructure model, where the tilt of the Bogoliubov-Weyl (BW) cones can be tuned, yielding either type-I (undertilted) or type-II (overtilted) cones. We find that, in a magnetic field, the tilted type-I BW cone in the mixed state may exhibit squeezed LLs with reduced spacings. On the other hand, the spectrum of type-II cones shows a dependence on the angle between the magnetic field and the tilt direction; LL quantization is only possible if the angle is below a critical value. For zero tilt, the optical conductivity in the mixed state of the WSC shows peaks only at photon frequencies $ω_n \propto \sqrt{n}+\sqrt{n+1}$, with a linear background. However, the tilt of BW cones results in the emergence of optical transitions beyond the usual dipolar ones. For type-II BW cones, unique intraband transition conductivity peaks emerge at low frequency, which can serve as an indicator to distinguish between type-I and type-II BW cones in WSCs.
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