Exactly Solvable Fermion Chain Describing a ν=1/3 Fractional Quantum Hall State
- Date
- Mar 3, 2016
- Time
- 12:30 PM - 2:00 PM
- Speaker
- Masaaki Nakamura
- Language
- en
- Main Topic
- Physik
- Other Topics
- Physik
- Host
- CMT seminars
- Description
- We introduce an exactly solvable fermion chain that describes a ν=1/3 fractional quantum Hall (FQH) state beyond the thin-torus limit. The ground state of our model is shown to be unique for each center of mass sector, and it has a matrix product representation that enables us to exactly calculate order parameters, correlation functions, and entanglement spectra. The ground state of our model shows striking similarities with the BCS wave functions and quantum spin-1 chains. Using the variational method with matrix product ansatz, we analytically calculate excitation gaps and vanishing of the compressibility expected in the FQH state. We also show that the above results can be related to a ν=1/2 bosonic FQH state.
Last modified: Mar 3, 2016, 8:59:04 AM
Location
Max-Planck-Institut für Physik komplexer Systeme (Room 1D1)Nöthnitzer Straße3801187Dresden
- Phone
- + 49 (0)351 871 0
- MPI-PKS
- Homepage
- http://www.mpipks-dresden.mpg.de
Organizer
Max-Planck-Institut für Physik komplexer SystemeNöthnitzer Straße3801187Dresden
- Phone
- + 49 (0)351 871 0
- MPI-PKS
- Homepage
- http://www.mpipks-dresden.mpg.de
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