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- Quantum distance and anomalous Landau levels of flat bands
We show that there is a universal and simple relationship between the total Landau level spread of a flat band and the maximum Hilbert–Schmidt quantum distance, which can be verified in
- Bulk-interface correspondence from quantum distance in flat band . . .
We show that the quantum distance can be used to predict the existence and band structures of interface modes in two-dimensional flat-band systems Although the quantum distance is
- [2505. 03024] Interplay of quantum and real-space geometry in the . . .
An interesting recent study [Nature 584, 59-63 (2020)] has numerically solved a 2-band effective Hamiltonian to show the anomalous Landau level (ALL) spreading Δ of a singular flat band (SFB), such as hosted in a kagome lattice, in relation to the maximal quantum distance d of the SFB, Δ(d), which enables a direct measure of quantum geometry
- Quantum distance and anomalous Landau levels of flat . . .
We show that there is a universal and simple relationship between the total Landau level spread of a flat band and the maximum Hilbert–Schmidt quantum distance, which can be verified in various candidate materials
- Quantum Geometry and Flat Band Bose-Einstein Condensation
We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat band lattice system by using the multiband Bogoliubov theory and discover fundamental connections to the underlying quantum geometry
- Full article: Singular flat bands - Taylor Francis Online
In the case of flat band systems, we consider the quantum distance between Bloch eigenstates in momentum space The quantum distance between two different Bloch states at momenta k 1 and k 2 is usually becomes zero when | k 1 − k 2 | → 0 because the two states take the identical form in this limit
- Flat-band FFLO State from Quantum Geometric Discrepancy
To model both QGD and the anomalous quantum distance, we examine a flat-band electronic Hamiltonian with tunable spin-dependent quantum metrics Utilizing the band-projection method, we analyze the QGD-induced FFLO instability from pair susceptibility near the superconducting critical temperature
- Quantum distance and anomalous Landau levels of flat bands
We show that there is a universal and simple relationship between the total Landau level spread of a flat band and the maximum Hilbert–Schmidt quantum distance, which can be verified in
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