应变诱导的带隙石墨烯中宇称反常的静态与系综依赖热力学
Static and Ensemble-Dependent Thermodynamics of the Strain-Induced Parity Anomaly in Gapped Graphene
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中文总结 AI 辅助
本文研究带隙石墨烯中应变诱导的赝磁场引起的宇称反常，推导其平衡热力学，并揭示场反转协议可隔离无真实磁场的平衡机电反常。
中文摘要 AI 辅助
石墨烯的静态形变可对其狄拉克电子起到谷奇磁场的作用。在子格带隙石墨烯中，该磁场使两个谷在奇宇称响应中相加而非相消。我们推导了该效应的平衡热力学，并将其与有限频率输运响应区分开来。在固定电化学势下，反转赝磁场会移除连续理论中所有非零赝朗道能级。剩余的巨势差由谱不对称的零级能级决定。静态电荷响应是局限于带隙内的热展宽平台，没有金属性的$m/|\u03bc|$尾部。在带边附近，赝场反转在低温窗口内每个未分裂的零模态转移$\mathrm{B}\ln2$的熵。固定$\mu$的热容在每个带边有两个侧瓣，并有一个普适峰$0.439229\\,D_B k_{\mathrm B}$。然后我们构造了一个明确的恒定栅压电路，并表明测得的片热容取决于电边界条件。完整的重狄拉克态密度和精确的有限场赝朗道能级计算在其共同极限下给出相同的栅极交叉。在固定载流子数下，低温带边值为$-2(\ln2)^2 D_B k_{\mathrm B}$，而非节点。有限的几何电容给出连续且实验可调的插值。最后，我们给出无迹三轴应变几何、无序-相互作用窗口以及实际的量热和量子电容尺度。场反转协议在不施加真实磁场的情况下分离出平衡机电反常。
英文摘要
A static deformation of graphene can act on its Dirac electrons as a valley-odd magnetic field. In sublattice-gapped graphene this field makes the two valleys add in the parity-odd response rather than cancel. We derive the equilibrium thermodynamics of this effect and separate it from the finite-frequency transport response. At fixed electrochemical potential, reversing the pseudomagnetic field removes every nonzero pseudo-Landau level in the continuum theory. The remaining grand-potential difference is fixed by the spectrally asymmetric zeroth level. The static charge response is a thermally broadened plateau confined to the gap and has no metallic $m/|μ|$ tail. Near a band edge, pseudofield reversal transfers $\mathrm{B}\ln2$ of entropy per unsplit zero-mode state in the low-temperature window. The fixed-$μ$ heat capacity has two side lobes per edge and a universal peak $0.439229\,D_B k_{\mathrm B}$. We then formulate a definite constant-gate-voltage circuit and show that the measured sheet heat capacity depends on the electrical boundary condition. The full massive-Dirac density of states and an exact finite-field pseudo-Landau-level calculation give the same gate crossover in their common limit. At fixed carrier number, the low-temperature edge value is $-2(\ln2)^2 D_B k_{\mathrm B}$, rather than a node. A finite geometric capacitance gives a continuous and experimentally tunable interpolation. Finally, we give a trace-free triaxial strain geometry, a disorder--interaction window, and realistic calorimetric and quantum-capacitance scales. The field-reversal protocol isolates an equilibrium electromechanical anomaly without a real magnetic field.
发表机构
- Yerevan Physics Institute（埃里温物理研究所）
- Physics Department, New York City College of Technology, The City University of New York（纽约市立大学纽约城市学院物理系）
- Institut für Physik, Universität Augsburg（奥格斯堡大学物理研究所）
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