32 citations · 120 across the 14 of their papers we have counts for
10 papers · 1 filter
Laughlin-like states of few atomic excitations in small subwavelength atom arrays
Błażej Jaworowski, Darrick E. Chang
Atom arrays with sub-wavelength lattice constant can exhibit fascinating optical properties. For example, the combination of -type level structure and magnetic fields can yield…
Approximate Hofstadter- and Kapit-Mueller-like parent Hamiltonians for Laughlin states on fractals
Błażej Jaworowski, Michael Iversen, Anne E. B. Nielsen
Recently, it was shown that fractional quantum Hall states can be defined on fractal lattices. Proposed exact parent Hamiltonians for these states are nonlocal and contain three-si…
Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
Błażej Jaworowski, Anne E. B. Nielsen
We search for short-range Hamiltonians of finite spin-1 kagome systems, maximizing the overlaps with lattice Moore-Read states. Our starting point is an exact, long-range parent Ha…
Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
Michał Kupczyński, Błażej Jaworowski, Arkadiusz Wójs
We investigate an interaction-driven transition between crystalline and liquid states of strongly correlated spinless fermions within topological flat bands at low density (with fi…
Model wavefunctions for an interface between lattice Laughlin and Moore-Read states
Błażej Jaworowski, Anne E. B. Nielsen
We use conformal field theory to construct model wavefunctions for a gapless interface between lattice versions of a bosonic Laughlin state and a fermionic Moore-Read state, both a…
Model wavefunctions for interfaces between lattice Laughlin states
Błażej Jaworowski, Anne E. B. Nielsen
We study the interfaces between lattice Laughlin states at different fillings. We propose a class of model wavefunctions for such systems constructed using conformal field theory.…
Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in flat bands
Błażej Jaworowski, Nicolas Regnault, Zhao Liu
We perform an exact-diagonalization study of quasihole excitations for the two-component Halperin state in the lowest Landau level and for several bosonic fractiona…
Interband excitations in the 1D limit of two-band fractional Chern insulators
Błażej Jaworowski, Piotr Kaczmarkiewicz, Paweł Potasz +1
We investigate the stability of the one-dimensional limit of Laughlin-like fractional Chern insulator with respect to the interband interaction. We propose a construction f…
Wigner crystallization in topological flat bands
Błażej Jaworowski, Alev Devrim Güçlü, Piotr Kaczmarkiewicz +3
We study the Wigner crystallization on partially filled topological flat bands. We identify the Wigner crystals by analyzing the cartesian and angular Fourier transform of the pair…
Fractional Chern Insulator phase at the transition between checkerboard and Lieb lattice
Błażej Jaworowski, Paweł Potasz, Andrei Manolescu
The stability of Fractional Chern Insulator (FCI) phase is analysed on the example of checkerboard lattice undergoing a transition into Lieb lattice. The transition is perf…