Braid Groups, Anyons and Gauge Invariance : On Topologically Nontrivial Surfaces

スポンサーリンク

概要

• 論文の詳細を見る

• The structure of braid groups on topologically nontrivial surfaces is reviewed. The physical meaning of the braid relations and their implications on quantum mechanical properties of anyonic quasiparticles are discussed. These include not only the restrictions on statistics of anyons but also the Aharonov-Bohm effect for the anyons on a surface with holes. Several results on the novel properties of anyons or their states, which were previously derived by microscopic considerations, are reproduced by this seemingly kinematic but topology dependent braid group analysis. It is suggested that in the thermodynamic limit, the global excitations in a system on a surface of nontrivial topology do not interfere with properties of local anyonic quasiparticles.

• 理論物理学刊行会の論文
• 1992-05-25

著者

• HATSUGAI Yasuhiro

  Institute for Solid State Physics,University of Tokyo

• Wu Yong-Shi

  Department of Physics, University of Ttah

• Hatsugai Yasuhiro

  Institute For Solid State Physics University Of Tokyo:(present Address)department Of Applied Physics

• Hatsugai Yasuhiro

  Institute For Solid State Physics University Of Tokyo

• Wu Yong-shi

  Department Of Physics. University Of Utah

• Wu Yong-shi

  Department Of Phyiscs University Of Utah

• Wu Y‐s

  Department Of Physics. University Of Utah

• Kohmoto M

  Univ. Tokyo Tokyo

• Kohmoto Mahito

  Institute for Solid State Physics, University of Tokyo

• Kohmoto Mahito

  Institute For Solid State Physics The University Of Tokyo

• WU Yong-Shi

  Physics Department, University of Utah

• HATSUGAI Yasuhiro

  Institute for Solid State Physics, University of Tokyo

関連論文

• String Correlation of Quantum Antiferromagnetic Spin Chains with S=1 and 2
• ネコヘルベスウイルス1型ICP4はネコ免疫不全ウイルスlong terminal repeat由来の遺伝子発現をC/EBP結合部位を介して抑制する
• シリンダー及びトーラス上の分数量子統計 : くみひも群およびゲージ不変性
• 29p-ZL-4 くみひも群、エニオンとゲージ不変性
• Mutual Exclusion Statistics in Exactly Solvable Models in One and Higher Dimensions
• Berry's Phase of Bloch Electrons in Electromagnetic Fields
• Braid Groups, Anyons and Gauge Invariance : On Topologically Nontrivial Surfaces
• Pseudogap due to Antiferromagnetic Fluctuations and the Phase Diagram of High-Temperature Oxide Superconductors : Condensed Matter: Electronic Properties etc.
• Quantum-Wire Networks and the Quantized Hall Effect
• Singularities in the Thermodynamic Formalism of Multifractals
• Integer-Quantized Hall Effect in Spin-Wave Phases of Two-Dimensional Conductors
• Energy Spectrum and the Critical Wavefunctions of the Quasiperiodic Harper Equation : the Silver Mean Case
• Topological Aspects of the Spin Hall Effect(Topological Aspects of Solid State Physics)
• Superconductivity from an Insulator
• Mechanism of Spin-Triplet Superconductivity in Sr_2RuO_4 : Condensed Matter: Electronic Properties, etc.
• Quasiperiodic Modulated-Spring Model
• Conductivity of 2D Lattice Electrons in an Incommensurate Magnetic Field
• Exactly Solvable Model of Correlated Lattice Electrons in Any Dimensions
• Stochastic Quantization of Topological Field Theory
• Topological Meaning of Z_2 Numbers in Time Reversal Invariant Systems(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
• Wave Packet Dynamics in the Spin Torque Transfer
• Time-Reversal Symmetry in Non-Hermitian Systems(General and Mathematical Physics)
• Topological Meaning of Z_2 Numbers in Time Reversal Invariant Systems
• Symmetry Protected Weak Topological Phases in a Superlattice

もっと見る 閉じる

スポンサーリンク