Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.

APA

Zaletel, M. (2013). Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.. Perimeter Institute for Theoretical Physics. https://pirsa.org/13020129

MLA

Zaletel, Michael. Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.. Perimeter Institute for Theoretical Physics, Feb. 12, 2013, https://pirsa.org/13020129

BibTex

          @misc{ scivideos_PIRSA:13020129,
            doi = {10.48660/13020129},
            url = {https://pirsa.org/13020129},
            author = {Zaletel, Michael},
            keywords = {Quantum Matter},
            language = {en},
            title = {Fractional Quantum Hall States on an infinite cylinder: characterizing topological order and quasiparticle forces using infinite DMRG.},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2013},
            month = {feb},
            note = {PIRSA:13020129 see, \url{https://scivideos.org/pirsa/13020129}}
          }
          

Michael Zaletel University of California, Berkeley

Source Repository PIRSA
Collection

Abstract

The density matrix renormalization group (DMRG), which has proved so successful in one dimension, has been making the push into higher dimensions, with the fractional quantum Hall (FQH) effect an important target. I'll briefly explain how the infinite DMRG algorithm can be adapted to find the degenerate ground states of a microscopic FQH Hamiltonian on an infinitely long cylinder, then focus on two applications. To characterize the topological order of the phase, I'll show that the bipartite entanglement spectrum of the ground state is sufficient to determine the quasiparticle charges, topological spins, quantum dimensions, chiral central charge, and Hall viscosity of the phase. Then I will show how to introduce localized quasiparticles of fixed topological charge. By pinning a pair of quasiparticles and dragging them into contact, we can directly measure the force curve of their interaction.