Bo Xiao - ORNL

Wednesday 16 Apr 2025, 08:00 → 19:15 US/Eastern

IAMM

 

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08:30 → 09:00 Arrival at IAMM

09:00 → 09:30 Research Meeting

09:30 → 10:00 Research Meeting

Speaker: Prof. Adrian Del Maestro (University of Tennessee, Knoxville)

10:00 → 10:20 Talk Prep

10:20 → 11:20 Seminar: Advancing the Frontier in Quantum Many-Body Physics: Numerical Insights into the Hubbard and Kitaev Models

The development of advanced numerical algorithms has been instrumental in deepening our understanding of strongly correlated electron systems and topological phases of matter. In this talk, I will present recent progress enabled by such algorithmic innovations, focusing on two paradigmatic models: the doped two-dimensional Hubbard model and the Kitaev honeycomb model in a magnetic field. In the first part of the talk, I will discuss the interplay between spin and charge orders and their connection to the ground-state stripe phase in the doped Hubbard model. By introducing a new advance in the constrained-path auxiliary-field quantum Monte Carlo method to effectively control the fermionic sign problem, we identify a finite-temperature phase transition below which charge ordering emerges. I will also explore the implications of these findings for the nature of the transition. In the second half of my talk, I will present how non-magnetic vacancies can bind and stabilize non-Abelian anyons in the Kitaev model under a finite magnetic field, modeled via a Zeeman term. This analysis is based on large-scale density matrix renormalization group (DMRG) simulations. The identification and manipulation of non-Abelian anyons in quantum spin liquids is a key step toward realizing fault-tolerant topological quantum computation. To quantify the extremely small binding energy of an anyon excitation at a vacancy, we introduce a refined definition of this binding energy and develop an extrapolation scheme that enables its accurate extraction using solely ground-state properties obtained from DMRG.

11:30 → 12:00 Research Meeting

Speaker: Ruixing Zhang (Department of Physics and Astronomy, University of Tennessee Knoxville)

12:00 → 13:30 Lunch

13:30 → 14:00 Research Meeting

Speaker: Wonhee Ko (University of Tennessee, Knoxville)

14:00 → 14:30 Research Meeting

Speaker: Jonathan D'Emidio

14:30 → 15:00 Research Meeting

Speaker: Hatem Barghathi

15:00 → 15:30 Research Meeting

Speaker: Ben Cohen-Stead

15:30 → 16:00 Research Meeting

Speaker: Rahul Soni (University of Tennessee-Knoxville)

16:00 → 16:30 Research Meeting

Speaker: Yixin Zhang

16:30 → 17:00 Research Meeting

Speaker: Yang Zhang

17:00 → 17:30 Research Meeting

17:45 → 19:15 Dinner