Quantum Phase Transitions in Strongly Correlated Quantum Hall States

Pubdate ：2023-05-29
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**Title:** Quantum Phase Transitions in Strongly Correlated Quantum Hall States

**Speaker:** Ying-Hai Wu, Huazhong University of Science and Technology

**Time&Location:** 12:00 pm, Jun. 6, Room B501, Tangzhongying Building

**Abstract: **

Quantum Hall states are prototypical examples of topological phases. They were initially discovered in two-dimensional electron gases and have generated widespread interest in many other areas. The advances in cold atoms create novel settings for studying topological states that would be quite difficult in solid state systems. One example is that the constituents of quantum gases can be different types of bosons, fermions, and their mixtures. We propose a variety of invertible topological states and symmetry-protected topological states in two-dimensional Bose-Fermi mixtures using the composite fermion theory. These states have no fractionalized excitations but possess gapless edge states. In certain continuum and lattice models, we can induce continuous quantum phase transitionsbetween these states and some fractional quantum Hall states by tuning the inter-species interaction. The critical theory of these transitions are Chern-Simons-Higgs field theory in which the condensation of a scalar boson field leads to “locking” of a pair of emergent gauge fields.

**Biography**:

Ying-Hai Wu obtained his bachelor degree from Department of Modern Physics of University of Science and Technology of Chain in 2009, he then studied at the Pennsylvania State University under the supervision of Prof. Jainendra Jain and obtained his Ph.D. degree in 2014. He was a postdoc research in the theory group of Max Planck Institute of Quantum Optics during 2014 and 2017. He has been an associate professor in School of Physics of Huazhong University of Science and Technology. His main research areas are strongly correlated topological states and quantum impurity systems. He has published about 30 papers in peer-reviewed journals.