Simon Steven H, Rezayi E H, Milovanovic Milica V
Lucent Technologies, Bell Labs, Murray Hill, New Jersey 07974, USA.
Phys Rev Lett. 2003 Jul 25;91(4):046803. doi: 10.1103/PhysRevLett.91.046803.
In bilayer quantum Hall systems at filling fractions near nu=1/2+1/2, as the spacing d between the layers is continuously decreased, intralayer correlations must be replaced by interlayer correlations, and the composite fermion (CF) Fermi seas at large d must eventually be replaced by a composite boson (CB) condensate or "111 state" at small d. We propose a scenario where CBs and CFs coexist in two interpenetrating fluids in the transition. Trial wave functions describing these mixed CB-CF states compare very favorably with exact diagonalization results. A Chern-Simons transport theory is constructed that is compatible with experiment.
在填充因子接近ν = 1/2 + 1/2的双层量子霍尔系统中,随着层间间距d不断减小,层内关联必须被层间关联所取代,大d时的复合费米子(CF)费米面最终在小d时必须被复合玻色子(CB)凝聚态或“111态”所取代。我们提出了一种在转变过程中CB和CF在两种相互渗透的流体中共存的情景。描述这些混合CB - CF态的试探波函数与精确对角化结果相比非常吻合。构建了一种与实验兼容的陈 - 西蒙斯输运理论。