Wydarzenia

Seminarium "Coherence-Correlations-Complexity" (KFT, PWr)

Mean field approximation in quantum Hall systems - many body-interactions

Bartosz Kuśmierz

Katedra Fizyki Teoretycznej WPPT

In this talk we discuss many-body interactions in fractional quantum Hall effect. We examine three and four-body interactions and apply mean filed approximation, to obtain corresponding, lower order interactions. We analyze trial Hamiltonians that generate Moore-Read and Read-Rezai states (\nu = 1/2 and 3/5 respectively). Obtained results regarding contractions to two-body interactions coincide with our previous results (obtained with different method). We analyze spectra, correlation functions, overlaps and values of pseudopotentials. Also we examine particle-hole anti-/symmetrization of three and four-body Hamiltonians (that break particle-hole symmetry). We will discuss surprising fact that particle-hole symmetrization of three-body Hamiltonian coincides with its mean field approximation. Then we apply the same tools to four-body interactions. Results had been obtained in collaboration with Sreejith JG (IISER Pune, India).