Level density distribution for one-dimensional vertex models related to Haldane-Shastry like spin chains
نویسندگان
چکیده
منابع مشابه
Level density of spin chains of Haldane-Shastry type.
We provide a rigorous proof of the fact that the level density of all known su(m) spin chains of Haldane-Shastry type associated with the A(N-1) root system approaches a Gaussian distribution as the number of spins N tends to infinity. Our approach is based on the study of the large-N limit of the characteristic function of the level density, using the description of the spectrum in terms of mo...
متن کاملHaldane – Shastry spin chains of BC N type
We introduce four types of SU(2M + 1) spin chains which can be regarded as the BC N versions of the celebrated Haldane–Shastry chain. These chains depend on two free parameters and, unlike the original Haldane–Shastry chain, their sites need not be equally spaced. We prove that all four chains are solvable by deriving an exact expression for their partition function using Polychronakos's " free...
متن کاملSpin chains of Haldane-Shastry type and a generalized central limit theorem.
We show that the density of energy levels of a wide class of finite-dimensional quantum systems tends to a Gaussian distribution as the number of degrees of freedom increases. Our result is based on a variant of the central limit theorem which is especially suited to models whose partition function is explicitly known. In particular, we provide a theoretical explanation of the fact that the lev...
متن کاملLattice integrable systems of Haldane-Shastry type.
We present a new lattice integrable system in one dimension of the Haldane-Shastry type. It consists of spins positioned at the static equilibrium positions of particles in a corresponding classical Calogero system and interacting through an exchange term with strength inversely proportional to the square of their distance. We achieve this by viewing the Haldane-Shastry system as a high-interac...
متن کاملA Haldane–Shastry spin chain of BCN type in a constant magnetic field
We compute the spectrum of the trigonometric Sutherland spin model of BCN type in the presence of a constant magnetic field. Using Polychronakos’s freezing trick, we derive an exact formula for the partition function of its associated Haldane–Shastry spin chain.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2012
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4742124