Short-range interactions and scaling near integer quantum Hall transitions

摘要: We study the influence of short-range electron-electron interactions on scaling behavior near integer quantum Hall plateau transitions. Short-range are known to be irrelevant at renormalization group fixed point which represents transition in noninteracting system. find, nevertheless, that transport properties change discontinuously when introduced. Most importantly, thermodynamic limit conductivity finite temperature is zero without interactions, but nonzero presence arbitrarily weak interactions. In addition, as a function frequency $\ensuremath{\omega}$ and T determined by variable $\ensuremath{\omega}{/T}^{p}$ (where p exponent for dependence inelastic scattering rate) not $\ensuremath{\omega}/T,$ it would conventional phase described an interacting point. express thermal ${z}_{T}$ terms dimension $\ensuremath{-}\ensuremath{\alpha}l0$ interaction strength dynamical z (which has value $z=2),$ obtaining $p=1+2\ensuremath{\alpha}/z$ ${z}_{T}=2/p.$