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BasuMallick,, B. and Finkel Morgenstern, Federico and González López, Artemio (2013) The exactly solvable spin Sutherland model of BN type and its related spin chain. Nuclear physics B, 866 (3). pp. 391413. ISSN 05503213

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Official URL: http://dx.doi.org/10.1016/j.nuclphysb.2012.09.008
URL  URL Type 

http://www.sciencedirect.com  Publisher 
http://arxiv.org/pdf/1207.5941v1  Organisation 
Abstract
We compute the spectrum of the su(m) spin Sutherland model of BN type, including the exact degeneracy of all energy levels. By studying the large coupling constant limit of this model and of its scalar counterpart, we evaluate the partition function of their associated spin chain of HaldaneShastry type in closed form. With the help of the formula for the partition function thus obtained we study the chain's spectrum, showing that it cannot be obtained as a limiting case of its BCN counterpart. The structure of the partition function also suggests that the spectrum of the HaldaneShastry spin chain of BN type is equivalent to that of a suitable vertex model, as is the case for its A(N1) counterpart, and that the density of its eigenvalues is normally distributed when the number of sites N tends to infinity. We analyze this last conjecture numerically using again the explicit formula for the partition function, and check its validity for several values of N and at.
Item Type:  Article 

Additional Information:  ©2012 Elsevier B.V. All rights reserved. 
Uncontrolled Keywords:  Calogero–sutherland spin models; Haldane–shastry spin chains; Dunkl operators 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  31228 
Deposited On:  02 Jul 2015 15:17 
Last Modified:  10 Dec 2018 15:09 
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