Critical Properties of the Calogero-Sutherland Model with Boundaries

Abstract

Critical properties of the Calogero-Sutherland model of $B{C}_N$-type ($B{C}_N$-CS model) are studied. Using the asymptotic Bethe-ansatz spectrum of the $B{C}_N$-CS model, we calculate finite-size corrections in the energy spectrum. Since the $B{C}_N$-CS model does not possess translational invariance, the finite-size spectrum acquires the contributions coming from ``boundaries''. We show that the low-energy critical behavior of the model is described by $c=1$ boundary conformal field theory. Thus the universality class of the model is identified as a chiral Tomonaga-Luttinger liquid.

19 pages, REVTeX3

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Cited by in corpus (5)

• Non-intersecting Brownian Interfaces and Wishart Random Matrices
• Integrable $1/r^2$ Spin Chain with Reflecting End
• Exact Critical Properties of the Multi-Component Interacting Fermion Model with Boundaries
• Spin dependent extension of Calogero-Sutherland model through anyon like representations of permutation operators
• Correlation functions of the BC Calogero-Sutherland model