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Correlated Electrons on Square Lattices
Progress of Theoretical Physics Supplement, 2003Using a few electrons interacting via a U/r Coulomb repulsion on two dimensional L x L square lattices with periodic boundary conditions and nearest neighbor hopping t, I review on results of systematic exact finite size numerical studies of the ground state as a function of the Coulomb energy to kinetic energy ratio r s = UL/(2t√πN).
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QRD Least-Squares Lattice Algorithms
2008This chapter presents a full derivation of the square-root-free square-root-free (SRF) QR-decomposition-based least-squares lattice (QRD-LSL) algorithms in complex form, based on linear interpolation (or two-sided prediction) theory as a generalization of linear prediction theory.
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Colouring Square Lattice Graphs
Bulletin of the London Mathematical Society, 1977openaire +1 more source
Square Lattice with Magnetic Field
2015Electrons moving in a periodic potential experience a quantized energy spectrum, where the discrete energy bands are known as Bloch bands. In a magnetic field the spectrum further splits into highly degenerate Landau levels. The interplay between both effects leads to a complex fractal energy spectrum known as Hofstadter’s butterfly.
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Emerging exciton physics in transition metal dichalcogenide heterobilayers
Nature Reviews Materials, 2022Emma C Regan, Yongxin Zeng, Long Zhang
exaly
General Square Lattice Vertex Models
2019AbstractVertex models more general than the ice model are possible and often have physical applications. The square lattice admits the general sixteen-vertex model of which the special cases, the eight- and the six-vertex model, are the most relevant and physically interesting, in particular through their connection to the one-dimensional integrable ...
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The Least Squares Lattice Algorithm
1986This chapter will examine the derivation of the least squares lattice (LSL) adaptive filter through the use of vector space concepts. As seen from Chapters 3 and 7, the lattice form is a specific implementation for the Nth order linear prediction filter.
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