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Exact microscopic wave function for a topological quantum membrane | Shou-Cheng Zhang
; | Date: |
28 Oct 2002 | Journal: | Phys.Rev.Lett. 90 (2003) 196801 | Subject: | Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.mes-hall cond-mat.str-el hep-th | Abstract: | The higher dimensional quantum Hall liquid constructed recently supports stable topological membrane excitations. Here we introduce a microscopic interacting Hamiltonian and present its exact ground state wave function. We show that this microscopic ground state wave function describes a topological quantum membrane. We also construct variational wave functions for excited states using the non-commutative algebra on the four sphere. Our approach introduces a non-perturbative method to quantize topological membranes. | Source: | arXiv, cond-mat/0210604 | Other source: | [GID 600188] pmid12785968 | Services: | Forum | Review | PDF | Favorites |
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