Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
Broken-symmetry states and phase diagram of the lowest Landau level in bilayer graphene
复制标题
双层石墨烯最低朗道能级的破缺对称态和相图
DOI：
10.1103/physrevb.84.235449
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
V.A.Miransky
中科院分区：
文献类型：
--
作者：
E.V.Gorbar;V.P.Gusynin;Junji Jia;V.A.Miransky
在无规相位近似下，通过求解带隙差距方程，分析了填充因子位于双层石墨烯最低朗道能级的对称性破缺量子霍尔（QH）态.结果表明，在电场和磁场平面内，分离自旋极化相和层极化相的临界线延伸到QH态。由于轨道朗道能级的填充和Hartree项的负贡献，在、和QH态的能隙振幅明显小于能隙振幅。它示出，那些值的电导是不量化的外部电场对应的间隙的最小值。
Broken-symmetry quantum Hall (QH) states with filling factorsin the lowest Landau level in bilayer graphene are analyzed by solving the gap equation in the random phase approximation. It is shown that in the plane of electric and magnetic fields, the critical line, which separates the spin- and layer-polarized phases at, extends to theQH states. The amplitudes of the gaps in the, andQH states are significantly smaller than the amplitude of thegap, due to the separate filling of theandorbital Landau levels and the negative contribution of the Hartree term, respectively. It is shown that those values of the external electric field where the conductance is not quantized correspond to the minima of the gaps.