Abstract
We consider a phenomenological holographic model, inspired by the D3/D7 system with a (2+1)-dimensional intersection, at finite chemical potential and magnetic field. At large 't Hooft coupling the system is unstable and needs regularization; the UV cutoff can be decoupled by considering a certain double scaling limit. At finite chemical potential the model exhibits a phase transition between states with filling fractions plus and minus one-half as the magnetic field is varied. By varying the parameters of the model, this phase transition can be made to happen at arbitrary values of the magnetic field.
Highlights
Introduction and summaryIn condensed matter physics, the quantum Hall effect (QHE) is a general feature of (2 + 1)-dimensional, low-temperature electron systems subject to strong magnetic field B [1,2,3]
The IQHE is well explained by considering localization–delocalization processes for free electrons moving in a random potential, a complete understanding of the fractional case, which relies on the strong interaction between electrons, is still lacking
We study the consequences of having a finite chemical potential and a finite magnetic field in this system
Summary
The quantum Hall effect (QHE) is a general feature of (2 + 1)-dimensional, low-temperature electron systems subject to strong magnetic field B [1,2,3]. Other work on holographic quantum Hall physics includes [14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48] These attempts succeeded in explaining some of the features of QHE such as the presence of constant conductivity plateaux, the description of phase transitions between different quantum Hall plateaux remains elusive.
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