378 citations · 1.5k across the 36 of their papers we have counts for
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Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2
Jan de Gier, Alexander Nichols, Pavel Pyatov +1
We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2 finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of certain XXZ quantum chains w…
The modified XXZ Heisenberg chain, conformal invariance, surface exponents of c<1 systems, and hidden symmetries of the finite chains
Uwe Grimm, Vladimir Rittenberg
The spin-1/2 XXZ Heisenberg chain with two types of boundary terms is considered. For the first type, the Hamiltonian is hermitian but not for the second type which includes the U_…
On the Two-Point Correlation Function for the Invariant Spin One-Half Heisenberg Chain at Roots of Unity
H. Hinrichsen, P. P. Martin, V. Rittenberg +1
Using tensor calculus we compute the two-point scalar operators (TPSO), their averages on the ground-state give the two-point correlation functions. The TPSOs are iden…
Finite Chains with Quantum Affine Symmetries
F. C. Alcaraz, D. Arnaudon, V. Rittenberg +1
We consider an extension of the (t-U) Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional ope…
Reaction-Diffusion Processes, Critical Dynamics and Quantum Chains
Francisco C. Alcaraz, Michel Droz, Malte Henkel +1
The master equation describing non-equilibrium one-dimensional problems like diffusion limited reactions or critical dynamics of classical spin systems can be written as a Schrödin…
Quantum Chains with U_q(SL(2)) Symmetry and Unrestricted Representations
Daniel Arnaudon, Vladimir Rittenberg
We consider two-state (q^2=-1) and three-state (q^3=1) one-dimensional quantum spin chains with U_q(SL(2)) symmetry. Taking unrestricted representations (periodic, semi-periodic an…