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arXiv 0802.2387cond-mat.str-elcond-mat.mes-hall
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石墨烯中的NMR弛豫速率和静态自旋磁化率

NMR relaxation rate and static spin susceptibility in graphene

Tianxing Ma, Balázs Dóra

摘要:

在紧束缚描述下研究了石墨烯的核磁共振弛豫速率和静态自旋磁化率。在半填充时,NMR弛豫速率在粒子-空穴对称侧遵循$T^2$的幂律,而在有限化学势$μ$和次近邻$t'$的情况下,$(μ+3t')^2$项在低过量电荷$δ$处占主导地位。当$t'=0$处于半充满状态时,静态自旋磁化率与温度$T$呈线性关系,而当$μ$和$t'$有限时,在低能区,静态自旋磁化率主要由$(μ+3t')$项控制.这些不寻常的现象是石墨烯低能激发的直接结果,石墨烯表现为无质量的狄拉克费米子。此外,当$δ$足够高时,存在一个明显的交叉,将NMR弛豫速率和静态自旋磁化率的温度依赖性分为两个温度区域:在低温区域,NMR弛豫速率和静态自旋磁化率随着温度的升高而显著增加;在高温区域,在交叉之后,两者都随着温度的升高而降低。这种交叉是由于众所周知的对数范霍夫奇点的状态密度,其位置依赖性的温度是敏感的$δ$。

英文摘要:

The NMR relaxation rate and the static spin susceptibility in graphene are studied within a tight-binding description. At half filling, the NMR relaxation rate follows a power law as $T^2$ on the particle-hole symmetric side, while with a finite chemical potential $μ$ and next-nearest neighbor $t'$, the $(μ+3t')^2$ terms dominate at low excess charge $δ$. The static spin susceptibility is linearly dependent on temperature $T$ at half filling when $t'=0$, while with a finite $μ$ and $t'$, it should be dominated by $(μ+3t')$ terms in low energy regime. These unusual phenomena are direct results of the low energy excitations of graphene, which behave as massless Dirac fermions. Furthermore, when $δ$ is high enough, there is a pronounced crossover which divides the temperature dependence of the NMR relaxation rate and the static spin susceptibility into two temperature regimes: the NMR relaxation rate and the static spin susceptibility increase dramatically as temperature increases in the low temperature regime, and after the crossover, both decrease as temperature increases at high temperatures. This crossover is due to the well-known logarithmic Van Hove singularity in the density of states, and its position dependence of temperature is sensitive to $δ$.

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