Journal ArticleDOI
"Spinon gas" description of the S=1/2 Heisenberg chain with inverse-square exchange: Exact spectrum and thermodynamics.
TLDR
The exact spectrum and thermodynamics of the S=1/2 Heisenberg chain with inverse-square exchange are explicitly obtained in closed form, and a description in terms of semionic spin- 1/2 «spinon» excitations is developed.Abstract:
The exact spectrum and thermodynamics of the S=1/2 Heisenberg chain with inverse-square exchange are explicitly obtained in closed form, and a description in terms of semionic spin-1/2 ``spinon'' excitations is developed. The unexpected degeneracies of the spectrum lead to a new representation of the k=1 SU(2) Wess-Zumino-Witten conformal field theory that exposes an infinite set of SU(2) symmetries of that model.read more
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Journal ArticleDOI
Non-linear kinetics underlying generalized statistics
TL;DR: In this paper, it is shown that there exists a kinetical interaction principle (KIP) underlying the non-linear kinetics in particle systems, independently on the picture (Kramers, Boltzmann) used to describe their time evolution.
Journal ArticleDOI
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
TL;DR: In this article, the Luttinger liquid theory has been used for the description of one-dimensional (1D) quantum fluids beyond the low-energy limit, where the nonlinearity of the dispersion relation becomes essential.
Journal ArticleDOI
The physics and mathematics of Calogero particles
TL;DR: A review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains can be found in this article, with a focus on spin chains.
Book
Quantum Monte Carlo Approaches for Correlated Systems
TL;DR: In this paper, a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems is provided, providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics.
Journal ArticleDOI
Fractional statistics in one dimension: view from an exactly solvable model
TL;DR: In this article, the Calogero-Sutherland model was used to construct a low-energy one-dimensional anyon model, and its correlation functions were found to be in agreement with those in the CSM, and this agreement provided an evidence for the equivalence of the first-and second-quantized construction of the 1D anyone model at least in the longwavelength limit.