Conformal invariance and the spectrum of the XXZ chain.

作者: Francisco C. Alcaraz , Michael N. Barber , Murray T. Batchelor

DOI: 10.1103/PHYSREVLETT.58.771

关键词: Potts modelPeriodic boundary conditionsScalingPhysicsBoundary value problemAnsatzHamiltonian (quantum mechanics)Conformal symmetryQuantum electrodynamicsEigenvalues and eigenvectorsMathematical physics

摘要: Numerical solutions of the Belhe- Ansatz equations for eigenenergies XXZ Hamiltonian on very large chains are used to identify, via conformal invariance, scaling dimensions various two-dimensional models. With periodic boundary conditions, eight-vertex and Gaussian model operators found. The Ashkin-Teller Potts models obtained by exact relating eigenstates their quantum Hamiltonians those chain with modified conditions. irrelevant governing dominant finite-size corrections also identified. PACS numbers: 64.60.–i, 05.50.+q, 75.10.Hk, 75.10.Jm

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