Modular Arithmetic with Nodal Lines: Drumhead Surface States in ZrSiTe
ORAL
Abstract
We study the electronic structure of the nodal line semimetal ZrSiTe both experimentally and theoretically.
We find two different surface states in ZrSiTe - topological drumhead surface states and trivial floating band surface states, which can be easily distinguished in ARPES experiments. Using the spectra of Wilson loops, we show that a non-trivial Berry phase that exist in a confined region within the Brillouin Zone gives rise to the topological drumhead-type surface states. The Z2 structure of the Berry phase induces a Z2 'modular arithmetic' of the surface states, allowing surface states deriving from different nodal lines to hybridize and gap out, which can be probed by a set of Wilson loops. Our findings are confirmed by ab-initio calculations and angle-resolved photoemission experiments, which are in excellent agreement with each other and the topological analysis.
We find two different surface states in ZrSiTe - topological drumhead surface states and trivial floating band surface states, which can be easily distinguished in ARPES experiments. Using the spectra of Wilson loops, we show that a non-trivial Berry phase that exist in a confined region within the Brillouin Zone gives rise to the topological drumhead-type surface states. The Z2 structure of the Berry phase induces a Z2 'modular arithmetic' of the surface states, allowing surface states deriving from different nodal lines to hybridize and gap out, which can be probed by a set of Wilson loops. Our findings are confirmed by ab-initio calculations and angle-resolved photoemission experiments, which are in excellent agreement with each other and the topological analysis.
*Supported by NSF through the Princeton Center for Complex Materials, a Materials Research Science and Engineering Center DMR-1420541 and DFG proposal no. SCHO 1730/1-1 and Max Planck Society. We thank HZB for the allocation of synchrotron radiation beamtime. The Flatiron Institute is a division of the Simons Foundation.
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Presenters
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Lukas Muechler
- Center for Computational Quantum Physics, Flatiron Institute