1 Table of Contents: “...Introduction and Motivation -- The Quantum Hall Effect -- Two Subbands Quantum Hall System as a...”

2 Table of Contents: “...Symmetry and Topology -- Topology in One Dimensional (1D) tight binding Models -- Quantum Hall Eect...”

3 Table of Contents: “...Chapter 1 Introduction -- Chapter 2 The Quantum Hall Nematic Phase -- Chapter 3 Low Temperature...”

4 Table of Contents: “... Magnetic Field -- Statistical Mechanics of Anyons -- Anyons and the Fractional Quantum Hall Effect...”

5 Table of Contents: “... Voltage Standards -- SQUID Detectors of Magnetic Flux -- Quantum Hall Effect -- Quantization of Electrical...”

6 “... of special functions such as Schur functions and Hall–Littlewood polynomials and play important roles...”

7 “... physics. The first major part of this monograph studies the so-called `qubits' and `qudits', systems...”

8 “... (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle -- where the gauge...”

9 “... at which the path is formed is called the percolation threshold. Percolation theory also predicts that many...”

10