标题： Bernal双层石墨烯中的谷和自旋极化态 显示英文标题

标题： Valley and Spin Polarized States in Bernal Bilayer Graphene

摘要： 我们利用一种包含三角扭曲项的真实形式的电子色散关系，给出了伯纳尔双层石墨烯(BBG)中自旋和谷极化态的费米面随粒子数密度及位移场变化的演化结果。早期没有考虑三角扭曲的研究发现了全自旋和/或谷极化且某些费米面完全耗尽的离散半金属和四分之一金属态。我们表明，当色散关系中包含三角扭曲项时，在小掺杂情况下会出现部分极化态，其极化程度较大但不完全，并且存在多数载流子和少数载流子，这与实验数据一致。我们展示了当区间谷相互作用与区间谷内相互作用相等以及不相等时的结果。 显示英文摘要

摘要： We present the results for the evolution of the Fermi surfaces under variation of number density and displacement field for spin and valley-polarized states in Bernal bilayer graphene (BBG) using a realistic form of the electronic dispersion with trigonal warping terms. Earlier studies without trigonal warping have found discrete half-metal and quarter-metal states with full spin and/or valley polarization and complete depletion of some of the Fermi surfaces. We show that when trigonal warping terms are included in the dispersion, partially polarized states with large but non-complete polarization and with both majority and minority carriers present, emerge at small doping, as seen in the experimental data. We show the results when the intervalley and intravalley interactions are equal as well as when they are unequal.