Competing spin-valley entangled and broken symmetry states in the N=1 Landau level of graphene
Competing spin-valley entangled and broken symmetry states in the
N=1
Landau level of graphene
复制标题
石墨烯 N=1 朗道能级中的竞争自旋谷纠缠态和破缺对称态
DOI:
10.1103/physrevb.107.045132
复制
发表时间:
2022
影响因子:
3.7
通讯作者:
Inti Sodemann Villadiego
中科院分区:
文献类型:
--
作者:
N. Stefanidis;Inti Sodemann Villadiego
We study many-body ground states for the partial integer fillings of the $N=1$ Landau level in graphene, by constructing a model that accounts for the lattice scale corrections to the Coulomb interactions. Interestingly, in contrast to the $N=0$ Landau level, this model contains not only pure delta function interactions but also some of its derivatives. Due to this we find several important differences with respect to the $N=0$ Landau level. For example at quarter filling when only a single component is filled, there is a degeneracy lifting of the quantum hall ferromagnets and ground states with entangled spin and valley degrees of freedom can become favourable. Moreover at half-filling of the $N=1$ Landau level, we have found a new phase that is absent in the $N=0$ Landau level, that combines characteristics of the Kekul\'{e} state and an antiferromagnet. We also find that according to the parameters extracted in a recent experiment, at half-filling of the $N=1$ Landau level graphene is expected to be in a delicate competition between an AF and a CDW state, but we also discuss why the models for these recent experiments might be missing some important terms.
影响因子:
56.9
作者:
Liu, Xiaomeng;Farahi, Gelareh;Yazdani, Ali
通讯作者:
Yazdani, Ali