Phantom Bethe roots in the integrable open spin- 12 XXZ chain
نویسندگان
چکیده
منابع مشابه
Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters which satisfy a certain constraint. We derive two sets of Bethe Ansatz equations, and find numerical evidence that together they give the complete set of (2s + 1)N eigenvalues of the transfer matrix. ...
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where σ , σ , σ are the standard Pauli matrices, η is the bulk anisotropy parameter, α± , β± , θ± are arbitrary boundary parameters, and N is the number of spins. Determining the energy eigenvalues in terms of solutions of a system of Bethe Ansatz equations is a fundamental problem, which has important applications in integrable quantum field theory as well as condensed matter physics and stati...
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We calculate the bulk and boundary parts of the free energy for an open spin-1/2 XXZ-chain in the critical regime by bosonisation. We identify the cutoff independent contributions and determine their amplitudes by comparing with Bethe ansatz calculations at zero temperature T . For the bulk part of the free energy we find agreement with Lukyanov’s result [Nucl. Phys. B 522, 533 (1998)]. In the ...
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We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value η = iπ p+1 , p = 1 , 2 , . . ., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies Bethe-Ansatz-like equations for the corresponding eigenvalues. The key observation is that the fused spin2 transfer matrix can be expressed in terms of a lower-spin transf...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2021
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.103.115435