Angkun Wu - LANL

US/Eastern
IAMM

IAMM

2641 Osprey Vista Way, Knoxville, TN 37920
Description

Abstract: The quantum metric of single-particle wave functions in topological flat bands plays a crucial role in determining the stability of fractional Chern insulating (FCI) states for |C|=1 flatbands. I will discuss how the quantum metric can lead to significant deviations of the many-body Chern number of FCI states from the expected value, which is associated with the partial filling of the single-particle topological flat band. Furthermore, variations of the quantum metric in momentum space induce band dispersion through interactions, affecting the stability of the FCI states. This causes a reentrant transition into the Fermi liquid from the FCI phase as the interaction strength increases. Additionally, I will discuss scenarios involving higher Chern number bands, specifically C=2, where the range of interaction is a key factor. To advance beyond the local curvature description of the quantum metric, I will introduce machine-learning approaches for analyzing quantum geometry of flatbands.

<Speaker Bio>

<Speaker Webpage>:

https://laro.lanl.gov/esploro/profile/angkun_wu/overview

    • 8:30 AM 9:00 AM
      Pick up at hotel 30m

      Travel to IAMM.

    • 9:00 AM 10:00 AM
      Research Meeting 1h 321

      321

      IAMM

      Speaker: Cristian Batista
    • 10:00 AM 10:20 AM
      Talk Prep 20m
    • 10:20 AM 11:20 AM
      Seminar: Quantum Metric and Long-Range Correlations in Topological Flatlands for Fractional Chern Insulators 1h 310

      310

      IAMM

      Abstract: The quantum metric of single-particle wave functions in topological flat bands plays a crucial role in determining the stability of fractional Chern insulating (FCI) states for |C|=1 flatbands. I will discuss how the quantum metric can lead to significant deviations of the many-body Chern number of FCI states from the expected value, which is associated with the partial filling of the single-particle topological flat band. Furthermore, variations of the quantum metric in momentum space induce band dispersion through interactions, affecting the stability of the FCI states. This causes a reentrant transition into the Fermi liquid from the FCI phase as the interaction strength increases. Additionally, I will discuss scenarios involving higher Chern number bands, specifically C=2, where the range of interaction is a key factor. To advance beyond the local curvature description of the quantum metric, I will introduce machine-learning approaches for analyzing quantum geometry of flatbands.

    • 11:30 AM 12:00 PM
      Research Meeting 30m
    • 12:00 PM 1:30 PM
      Lunch 1h 30m
    • 1:30 PM 2:00 PM
      Research Meeting 30m 257

      257

      IAMM

      Speaker: Yang Zhang
    • 2:00 PM 2:30 PM
      Research Meeting 30m 233

      233

      IAMM

      Speaker: Wonhee Ko (University of Tennessee, Knoxville)
    • 2:30 PM 3:00 PM
      Research Meeting 30m 321

      321

      IAMM

      Speaker: Prof. Adrian Del Maestro (University of Tennessee, Knoxville)
    • 3:00 PM 3:30 PM
      Research Meeting 30m
      Speaker: Dr Songyang Pu
    • 3:30 PM 4:00 PM
      Research Meeting 30m 260

      260

      IAMM

      Speaker: Harini Radhakrishnan (University of Tennessee)
    • 4:00 PM 4:30 PM
      Research Meeting 30m 323

      323

      IAMM

      Speaker: Ruixing Zhang (Department of Physics and Astronomy, University of Tennessee Knoxville)
    • 4:30 PM 5:00 PM
      Research Meeting 30m 262

      262

      IAMM

      Speaker: Nianlong Zou
    • 5:00 PM 5:30 PM
      Research Meeting 30m
    • 5:45 PM 7:15 PM
      Dinner 1h 30m