A unified theory of quantum Hall effect and high temperature superconductivity

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Fujita, Shigeji^1 ; Suzuki, Akira^2

Department of Physics, University at Buffalo, State University of New York, Buffalo, NY 14260-1500, United States^1

Department of Physics, Faculty of Science, Tokyo University of Science, Shinjyuku-ku, Tokyo 162-8601, Japan^2

关键词: Composite bosons;    Composite particles;    Critical temperatures;    Fractional charges;    Hall conductivity;    High-temperature superconductivity;    Theoretical modeling;    Two Dimensional (2 D);   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012064/pdf
DOI  :  10.1088/1742-6596/490/1/012064

来源: IOP

【 摘 要 】

The quantum Hall effect (QHE) and high temperature superconductivity (HTSC) have remarkable common features. They occur only in two-dimensional (2D) solids. The critical temperature Tcof some HTSC exceeds 160K while the room temperature QHE is observed in graphene. The cause of both QHE and HTSC is the phonon exchange attraction. We develop a theoretical model for the QHE in terms of the composite bosons (fermions), each containing an electron and an odd (even) number of fluxons (magnetic flux quanta). The composite particles (boson, fermion) are bound by the phonon exchange attraction. If the Bose-Einstein condensation (BEC) of the composite (c)- bosons occurs, then the system exhibits zero resistivity and the associated Hall conductivity plateau. The Hall conductivity is calculated rigorously without averaging. The mystery of the fractional charge carried by the c-bosons is resolved in our model.