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arXiv 2008.10798cond-mat.mes-hall
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光滑双势阱中二维狄拉克费米子的导模和太赫兹跃迁

Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential

R. R. Hartmann, M. E. Portnoi

摘要:

用Heun函数的形式求解了二维Dirac方程的双势阱问题。我们证明了,对于一个双阱隔离的障碍,无论是能级分裂与阱态的波函数重叠,和避免交叉与阱和势垒状态排斥的间隙大小,可以通过控制的参数的潜力。包括双重态的两个状态之间的跃迁以及跨伪带隙的跃迁是强烈允许的、高度各向异性的,并且对于实际的石墨烯器件,可以被调谐以落入高度期望的太赫兹频率范围内。

英文摘要:

The double-well problem for the two-dimensional Dirac equation is solved for a family of quasi-one-dimensional potentials in terms of confluent Heun functions. We demonstrate that for a double well separated by a barrier, both the energy level splitting associated with the wavefunction overlap of well states, and the gap size of the avoided crossings associated with well and barrier state repulsion, can be controlled via the parameters of the potential. The transitions between the two states comprising a doublet, as well as transitions across the pseudo-gaps are strongly allowed, highly anisotropic, and for realistic graphene devices can be tuned to fall within the highly desirable terahertz frequency range.

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