Exact parent Hamiltonian for the quantum Hall states in a lattice.

作者: Eliot Kapit , Erich Mueller

DOI: 10.1103/PHYSREVLETT.105.215303

关键词: Fractional quantum Hall effectGround stateQuantum Hall effectLaughlin wavefunctionQuantum spin Hall effectLandau quantizationCondensed matter physicsWave functionPhysicsQuantum stateQuantum mechanics

摘要: … particles in uniform magnetic fields. We show how longer range hopping can be engineered to … The hopping matrix elements in our model fall off as a Gaussian, and when the flux per …

参考文章(39)
Richard E. Prange, Steven M. Girvin, Patrick Lee, The Quantum Hall Effect Physics Today. ,vol. 40, pp. 93- 94 ,(1987) , 10.1063/1.2820275
Donald A. McQuarrie, Handbook of Mathematical Functions American Journal of Physics. ,vol. 34, pp. 177- 177 ,(1966) , 10.1119/1.1972842
Anders S. Sørensen, Eugene Demler, Mikhail D. Lukin, Fractional quantum Hall states of atoms in optical lattices. Physical Review Letters. ,vol. 94, pp. 086803- ,(2005) , 10.1103/PHYSREVLETT.94.086803
Rebecca N. Palmer, Alexander Klein, Dieter Jaksch, Optical lattice quantum Hall effect Physical Review A. ,vol. 78, pp. 013609- ,(2008) , 10.1103/PHYSREVA.78.013609
R. N. Palmer, D. Jaksch, High-field fractional quantum Hall effect in optical lattices. Physical Review Letters. ,vol. 96, pp. 180407- ,(2006) , 10.1103/PHYSREVLETT.96.180407
G. Möller, N. R. Cooper, Composite fermion theory for bosonic quantum Hall states on lattices. Physical Review Letters. ,vol. 103, pp. 105303- ,(2009) , 10.1103/PHYSREVLETT.103.105303
N.R. Cooper, Rapidly rotating atomic gases Advances in Physics. ,vol. 57, pp. 539- 616 ,(2008) , 10.1080/00018730802564122