Spin And Charge Ordering In The Quantum Hall Regime (springer Theses)
by Benedikt Frieß /
2016 / English / PDF
5.9 MB Download
The book presents a comprehensive yet concise introduction to the
physics of two-dimensional electron systems in the quantum Hall
regime, as well as an up-to-date overview of the current fields
of research concerning the integer and fractional quantum Hall
effect. The physics of two-dimensional electron systems at low
temperatures and high magnetic fields are governed by the
formation of discrete energy levels referred to as Landau levels.
These narrow energy bands not only form the basis of the
well-known quantum Hall effect but also promote strong
interactions between the electrons, giving rise to some of the
finest manifestations of many-body physics in solid state
science. Examples include skyrmionic spin textures, ferromagnetic
spin transitions, stripe and bubble phases, as well as fractional
quantum Hall states with potential non-abelian exchange
statistics.
The book presents a comprehensive yet concise introduction to the
physics of two-dimensional electron systems in the quantum Hall
regime, as well as an up-to-date overview of the current fields
of research concerning the integer and fractional quantum Hall
effect. The physics of two-dimensional electron systems at low
temperatures and high magnetic fields are governed by the
formation of discrete energy levels referred to as Landau levels.
These narrow energy bands not only form the basis of the
well-known quantum Hall effect but also promote strong
interactions between the electrons, giving rise to some of the
finest manifestations of many-body physics in solid state
science. Examples include skyrmionic spin textures, ferromagnetic
spin transitions, stripe and bubble phases, as well as fractional
quantum Hall states with potential non-abelian exchange
statistics.
The thesis succeeds in profoundly deepening our understanding of
these exotic states of matter, with a main focus on the
density-modulated phases in the quantum Hall regime. These phases
arise from the interplay of competing interactions and are
characterized by a self-organized ordering of electrons in
spatial patterns. Similar phases of matter are currently being
studied in other material systems as well, most notably in
high-temperature superconductors. The thesis stands out not only
in terms of its contribution to improving readers’ grasp of
physics, but also in the diversity and novelty of the measurement
techniques employed, which take advantage of the interaction
between the electrons and the surrounding crystal lattice.
The thesis succeeds in profoundly deepening our understanding of
these exotic states of matter, with a main focus on the
density-modulated phases in the quantum Hall regime. These phases
arise from the interplay of competing interactions and are
characterized by a self-organized ordering of electrons in
spatial patterns. Similar phases of matter are currently being
studied in other material systems as well, most notably in
high-temperature superconductors. The thesis stands out not only
in terms of its contribution to improving readers’ grasp of
physics, but also in the diversity and novelty of the measurement
techniques employed, which take advantage of the interaction
between the electrons and the surrounding crystal lattice.
