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Possible broken inversion and time-reversal symmetry state of electrons in bilayer graphene

机译:双层石墨烯中电子可能的破裂反转和时间反转对称状态

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With the two-band continuum model, we study the broken inversion and time-reversal symmetry state of electrons with finite-range repulsive interactions in bilayer graphene. In the state, there are overlapped loop currents in each layer. With the analytical solution to the mean-field Hamiltonian, we obtain the electronic spectra. The ground state is gapped. In the presence of the magnetic field B, the energy gap grows with increasing B, in excellent agreement with the experimental observation. Such an energy-gap behavior originates from the disappearance of a Landau level of n = 0 and 1 states. The present result resolves explicitly the puzzle of the gap dependence of B.
机译:利用两波段连续谱模型,研究了双层石墨烯中具有有限范围排斥相互作用的电子的断裂反转和时间反转对称状态。在这种状态下,每层中都有重叠的环路电流。通过对平均场哈密顿量的解析解,我们获得了电子光谱。基态有间隙。在磁场B的存在下,能隙随着B的增加而增长,这与实验观察非常吻合。这种能隙行为源自n = 0和1状态的Landau能级的消失。本结果明确解决了B的缺口依赖性的难题。

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