Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session D54: Construction and detection of topological orders
2:30 PM–5:30 PM,
Monday, March 2, 2020
Room: Mile High Ballroom 2A
Sponsoring
Unit:
DCMP
Chair: Daniel Bulmash, University of Maryland, College Park
Abstract: D54.00012 : Properties of the Dice-Lattice and its Ribbons
Presenter:
Rahul Soni
(University of Tennessee, Knoxville)
Authors:
Rahul Soni
(University of Tennessee, Knoxville)
Nitin Kaushal
(University of Tennessee, Knoxville)
Elbio Dagotto
(University of Tennessee, Knoxville)
Satoshi Okamoto
(University of Tennessee, Knoxville)
correlation effects via numerical methods here we explore if the main properties of the dice lattice survive in ribbons where one direction is made much shorter than the other [2]. Surprisingly, we find a rich eigenvalue spectrum that continues to display flat bands even for
the smallest ribbon such as the Nx2. Real-space charge currents moving along the edges clearly develop. We observed the presence of non-zero Hall-conductance (σHxy) and associated Quantum Anomalous Hall effect for all the ribbons investigated [3]. Time allowing, preliminary results for the effects of interaction (U) at half-filling on these ribbons will also be discussed using DMRG. In particular, for the Nx2 system when no magnetic field is present the ground state is ferri-magnetic increasing U. The evolution of the edge currents with increasing U will be presented.
[1] Wang et. al., PRB. 84, 241103 (2011)
[2] R. Soni, N. Kaushal, S. Okamoto, G. Alvarez, and E. Dagotto, submitted for publication.
[3] C. Chang et. al., Science 340, 6129 (2013)
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