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Topologically distinct critical theories emerging from the bulk entanglement spectrum of integer quantum Hall states on a lattice.
- Source :
-
Physical Review B: Condensed Matter & Materials Physics . Dec2014, Vol. 90 Issue 23, p235134-1-235134-5. 5p. - Publication Year :
- 2014
-
Abstract
- The critical theories for the topological phase transitions of integer quantum Hall states to a trivial insulating state with the same symmetry can be obtained by calculating the ground state entanglement spectrum under a symmetric checkerboard bipartition. In contrast to the gapless edge excitations under the left-right bipartition, a quantum network with bulk gapless excitations naturally emerges at the Brillouin zone center without fine tuning. On a large finite lattice, the resulting critical theory for the v =1 state is the (2+1) dimensional relativistic quantum field theory characterized by a single Dirac cone spectrum and a pair of fractionalized zero-energy states, while for the v =2 state the critical theory exhibits a parabolic spectrum and no sign of fractionalization in the zero-energy states. A triangular correspondence is established among the bulk topological theory, gapless edge theory, and the critical theory via the ground state entanglement spectrum. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10980121
- Volume :
- 90
- Issue :
- 23
- Database :
- Academic Search Index
- Journal :
- Physical Review B: Condensed Matter & Materials Physics
- Publication Type :
- Academic Journal
- Accession number :
- 101082872
- Full Text :
- https://doi.org/10.1103/PhysRevB.90.235134