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Condensed Matter Seminar - "Lattice-like models for protected edges with no symmetry."

Event Type
Seminar/Symposium
Sponsor
Physics - Condensed Matter
Virtual
wifi event
Date
Feb 12, 2021   1:00 pm  
Speaker
Sriram Ganeshan, The City University of New York
Contact
Stephen Bullwinkel
E-Mail
bullwink@illinois.edu
Phone
217-333-1652
Views
34
Originating Calendar
Physics - Condensed Matter Seminar

In this talk, I will outline our recent work on constructing “lattice" models with finite dimensional onsite Hilbert space for the edge of Fractional Quantum Hall states with of zero central charge ($n_L-n_R=0$) described by a $2 \times 2$ K-matrix $K = \bpm k_1 & 0 \\ 0 & - k_2 \epm$. Our lattice models contains both gapable and ungapable protected edges depending on the values of $k_{1,2}$. We derive our lattice models by strongly coupling the edge modes modeled by counter-propagating Luttinger liquids to an array of domain walls formed by alternating superconducting and ferromagnetic impurities. Contrary to the lattice constructions for SPT edges, the Hilbert space associated with our “lattice" models cannot be written as a local tensor product structure. 

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