TY - JOUR
T1 - Conformal invariance and the spectrum of the XXZ chain
AU - Alcaraz, Francisco C.
AU - Barber, Michael N.
AU - Batchelor, Murray T.
PY - 1987
Y1 - 1987
N2 - Numerical solutions of the Bethe-Ansatz equations for the eigenenergies of XXZ Hamiltonian on very large chains are used to identify, via conformal invariance, the scaling dimensions of various two-dimensional models. With periodic boundary conditions, eight-vertex and Gaussian model operators are found. The scaling dimensions of the Ashkin-Teller and Potts models are obtained by the exact relating of eigenstates of their quantum Hamiltonians to those of the XXZ chain with modified boundary conditions. The irrelevant operators governing the dominant finite-size corrections are also identified.
AB - Numerical solutions of the Bethe-Ansatz equations for the eigenenergies of XXZ Hamiltonian on very large chains are used to identify, via conformal invariance, the scaling dimensions of various two-dimensional models. With periodic boundary conditions, eight-vertex and Gaussian model operators are found. The scaling dimensions of the Ashkin-Teller and Potts models are obtained by the exact relating of eigenstates of their quantum Hamiltonians to those of the XXZ chain with modified boundary conditions. The irrelevant operators governing the dominant finite-size corrections are also identified.
UR - http://www.scopus.com/inward/record.url?scp=0001312328&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.58.771
DO - 10.1103/PhysRevLett.58.771
M3 - Article
AN - SCOPUS:0001312328
SN - 0031-9007
VL - 58
SP - 771
EP - 774
JO - Physical Review Letters
JF - Physical Review Letters
IS - 8
ER -