The One-Dimensional Hubbard Model: Index

By F. Essler, H. Frahm, F. Göhmann, A. Klümper, V. Korepin. 2005

371 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4f9c04c90881b163480ab8c29b07d89717185ace

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Geometry and Topology

Citations in the corpus

On string S-matrix, bound states and TBA (2007, methodology): “roduced in [60], but with a very dierent motivation. Namely, as was shown in [60], the graded version of S(p 1;p 2) coincides with the Shastry Rmatrix [61] for the one-dimensional Hubbard model [62]-[64]. In section 4 we will give another interesting interpretation to our choice (3.22) which is base”
Quantum deformations of the one-dimensional Hubbard model (2008, background): “ have a similar but much more elaborate underlying symmetry algebra. A famous integrable spin chain model that has escaped this classiﬁcation for a long time is the one-dimensional Hubbard model, see [2]. It is amodel of electrons propagating on a chain of nuclei. Each nucleus site can either be uno”
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond (2006, methodology): “ns and correlations is particularly important in 1D. The theory of 1D systems is very well developed due to existence of exact methods such as Bethe ansatz and quantum inverse scattering theory (c.f. [45]), powerful approximate approaches, such as bosonisation, or conformal ﬁeld theory [46], and eﬃc”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, methodology): “It provides a framework to systematically construct and solve quantum many-body systems (Essler et al., 2005; Korepin et al., 1993; Takahashi, 1999; Thacker, 1981)).”
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm (2011, methodology): “D, we discuss 1D lattice models, such as the spin-1/2 XXZ model (which is equivalent to spinless fermions on a lattice), and 1D Hubbard model (Essler et al., 2005; Lieb and Wu, 1968).”
The analytic Bethe ansatz for a chain with centrally extended symmetry (2006, background): “est-neighbour models described above, but its Bethe equations, the so-called Lieb-Wu equations [25], take a non-standard trigonometric form. Its integrable structures are known to a large extent, cf. [26] for a review, but they also take an unusual form. For example, Shastry’s Rmatrix for the Hubbar”