分数量子霍尔态的洛仑兹剪切模量
Lorentz shear modulus of fractional quantum Hall states
摘要：
我们表明，在最低朗道水平的宏观均匀的电子态的洛伦兹剪切模量是成比例的相互作用的经典粒子在热力学极限的等效系统的体积模量。利用这种对应关系，我们计算了Laughlin分数量子霍尔态在填充因子$ν=1/m$（$m$为奇数）下的洛伦兹剪切模量，发现它等于$\pm \hbar mn/4$，其中$n$为粒子密度，符号与磁场方向有关.这与Read在arXiv：0805.2507中获得的最近结果一致，并且修正了我们在Phys. Rev. B { \bf 76}，161305（R）（2007）中发表的先前结果。
英文摘要：
We show that the Lorentz shear modulus of macroscopically homogeneous electronic states in the lowest Landau level is proportional to the bulk modulus of an equivalent system of interacting classical particles in the thermodynamic limit. Making use of this correspondence we calculate the Lorentz shear modulus of Laughlin's fractional quantum Hall states at filling factor $ν=1/m$ ($m$ an odd integer) and find that it is equal to $\pm \hbar mn/4$, where $n$ is the density of particles and the sign depends on the direction of magnetic field. This is in agreement with the recent result obtained by Read in arXiv:0805.2507 and corrects our previous result published in Phys. Rev. B {\bf 76}, 161305 (R) (2007).
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