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Full-Text Articles in Physics
Interaction-Driven Phenomena And Wigner Transition In Two-Dimensional Systems, Talbot Anderson Knighton
Interaction-Driven Phenomena And Wigner Transition In Two-Dimensional Systems, Talbot Anderson Knighton
Wayne State University Dissertations
The formation of a quantum Wigner Cyrstal (WC) is one of the most anticipated predictions of electron-electron interaction. This is expected to occur in zero magnetic field when the Coulomb energy $E_C$ dominates over the Fermi energy $E_F$ (at a ratio $r_s \equiv E_C/E_F \sim 37$) for temperatures $T \ll E_F / k_B$. The extremely low $T$ and ultra dilute carrier concentrations necessary to meet these requirements are difficult to achieve. Alternatively, a perpendicular magnetic $B$-field can be used to quench the kinetic energy. As $B$ increases, various energies compete to produce the ground state. High purity systems with large …
Electronic Transport In Two-Dimensional Systems In The Quantum Hall Regime, Vinicio Tarquini
Electronic Transport In Two-Dimensional Systems In The Quantum Hall Regime, Vinicio Tarquini
Wayne State University Dissertations
The integer and the fractional quantum Hall effects are essential to the exploration of quantum matters characterized by topological phases. A quantum Hall system hosts one-dimensional (1D) chiral edge channels that manifest zero magnetoresistance, dissipationless due to the broken time reversal symmetry, and quantized Hall resistance v h e^2 with v being the topological invariant (or Chern number). The 1-1 correspondence between the conducting gapless edge channels to the gapped incompressible bulk states is a defining character of a topological insulator (TI). Understanding this correspondence in real systems, especially the origin of its robustness (in terms of the limit of …