Spontaneous ferromagnetism in a semiconductor

The magnetic properties of a dilute 2D electron system have long been a topic of theoretical speculation and controversy because physics here is governed by strong electron-electron interaction. It all started with Felix Bloch back in 1929. He predicted that as the electron density is…

Two-dimensional electron systems exposed to high magnetic fields generate emergent quasiparticles, the so-called composite fermions, whose physics is fundamentally different from electrons. They are intimately linked to different many-body phases, the most intriguing of which is the metallic phase in the half- or quarter-filled Landau levels.

Note that Landau levels…

The magnetic properties of the ground state of a low-density, two-dimensional (2D) electron system have been a topic of intense theoretical speculation and controversy. This is because the physics here is governed by strong correlations, where the conventional free-electron models hopelessly fall short. It started with Felix Bloch back in…

Composite fermions obey the Luttinger theorem and particle-hole symmetry precisely but show deviations from the Dirac theory.

When electrons confined to two dimensions get exposed to a perpendicular magnetic field, their kinetic energy is quenched. Consequently, a set of discrete energy levels, namely Landau levels form. Since there is no…

The enigmatic even-denominator fractional quantum Hall state in the first-excited Landau level of two-dimensional electron systems are among the unsolved mysteries in condensed matter physics. Quasiparticles of its excitation are neither fermion nor boson but Majoranas supporting non-Abelian braiding which has amazing prospects in topological quantum computation. However, this state…

Md. Shafayat Hossain

A PhD candidate pursuing research on experimental condensed matter physics. In this blog, I will discuss some of my research efforts and current physics topics.

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