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arXiv 1608.08641cond-mat.mes-hallquant-ph
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强磁场和电场中电子气的基态热力学和响应性质:常规半导体和石墨烯的精确解析解

Ground State thermodynamic and response properties of electron gas in a strong magnetic and electric field: Exact analytical solutions for a conventional semiconductor and for Graphene

Georgios Konstantinou, Konstantinos Moulopoulos

摘要:

研究了极强电场(E场)对垂直磁场中二维无自旋电子气(量子霍尔效应(QHE)组态)的基态能量和输运性质的影响.对于传统的半导体,我们发现霍尔电导率的分数值和一些磁电系数的某些值的E和B场,不产生的相互作用或杂质,但一个足够强的平面内E场的纯粹后果。我们还确定解析的基态能量,和响应特性,如磁化强度和极化作为电磁场的函数在强E场限制。在石墨烯的情况下,我们获得了更复杂的行为,导致不合理的霍尔值的可能性。结果也定性地讨论了各种机制的QHE击穿。

英文摘要:

Consequences of an exceedingly strong electric field (E field) on the ground state energetics and transport properties of a 2D spinless electron gas in a perpendicular magnetic field (a Quantum Hall Effect (QHE) configuration) are investigated to all orders in the fields. For a conventional semiconductor, we find fractional values of the Hall conductivity and some magnetoelectric coefficients for certain values of E and B fields that do not result from interactions or impurities, but are a pure consequence of a strong enough in-plane E field. We also determine analytically the ground state energy, and response properties such as magnetization and polarization as functions of the electromagnetic field in the strong E field limit. In the case of Graphene, we obtain more complex behaviors leading to the possibility of irrational Hall values. The results are also qualitatively discussed in connection to various mechanisms for the QHE-breakdown.

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