Towards a spin dual of the fractional quantum Hall effect
نویسندگان
چکیده
Electromagnetic duality between the Aharonov-Bohm and the Aharonov-Casher quantum mechanical phases predicts the existence of a new collective state of matter which can be regarded as a spin dual to the fractional quantum Hall effect. The state, induced by electric fields, is driven by effective spin-spin interactions. We derive experimental and materials conditions of spin-spin interactions and electric fields under which the new state may be observed. [email protected] [email protected]
منابع مشابه
Exotic Quantum Order in Low-Dimensional Systems
Strongly correlated quantum systems in low dimensions often exhibit novel quantum ordering. This ordering is sometimes hidden and can be revealed only by examining new ‘dual’ types of correlations. Such ordering leads to novel collective modes and fractional quantum numbers. Examples will be presented from quantum spin chains and the quantum Hall effect.
متن کاملOn the dual topological quantum numbers filling factors
We consider recent experimental results [W. Pan et al, Phys. Rev. Lett. 90, 016801 (2003)] for occurrence of the fractional quantum Hall effect-FQHE under the perspective of our formulation in terms of fractons. These objects carry rational or irrational values of spin and satisfy a fractal distribution function associated with a fractal von Newmann entropy. According to our approach the FQHE o...
متن کامل2 00 3 Entanglement measure for the universal classes of fractons
We introduce the notion of entanglement measure for the universal classes of fractons as an entanglement between ocuppation-numbers of fractons in the lowest Landau levels and the rest of the many-body system of particles. This definition came as an entropy of the probability distribution à la Shannon. Fractons are charge-flux systems classified in universal classes of particles or quasiparticl...
متن کاملua nt - p h / 03 10 06 4 v 4 1 5 O ct 2 00 3 Entanglement measure for the universal classes of fractons
We introduce the notion of entanglement measure for the universal classes of fractons as an entanglement between ocuppation-numbers of fractons in the lowest Landau levels and the rest of the many-body system of particles. This definition came as an entropy of the probability distribution à la Shannon. Fractons are charge-flux systems classified in universal classes of particles or quasiparticl...
متن کاملua nt - p h / 03 10 06 4 v 6 8 N ov 2 00 3 Entanglement measure for the universal classes of fractons
We introduce the notion of entanglement measure for the universal classes of fractons as an entanglement between ocuppation-numbers of fractons in the lowest Landau levels and the rest of the many-body system of particles. This definition came as an entropy of the probability distribution à la Shannon. Fractons are charge-flux systems classified in universal classes of particles or quasiparticl...
متن کامل