13 citations · 13 across the 1 of their papers we have counts for
9 papers
Spin operator matrix elements in the superintegrable chiral Potts quantum chain
N. Iorgov, S. Pakuliak, V. Shadura +2
We derive spin operator matrix elements between general eigenstates of the superintegrable Z_N-symmetric chiral Potts quantum chain of finite length. Our starting point is the exte…
Factorized finite-size Ising model spin matrix elements from Separation of Variables
G von Gehlen, N Iorgov, S Pakuliak +1
Using the Sklyanin-Kharchev-Lebedev method of Separation of Variables adapted to the cyclic Baxter--Bazhanov--Stroganov or -model, we derive factorized formulae for genera…
Explicit Free Parameterization of the Modified Tetrahedron Equation
G. von Gehlen, S. Pakuliak, S. Sergeev
The Modified Tetrahedron Equation (MTE) with affine Weyl quantum variables at N-th root of unity is solved by a rational mapping operator which is obtained from the solution of a l…
Onsager's algebra and partially orthogonal polynomials
G. von Gehlen
The energy eigenvalues of the superintegrable chiral Potts model are determined by the zeros of special polynomials which define finite representations of Onsager's algebra. The po…
The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials
G. von Gehlen, Shi-shyr Roan
Finite-dimensional representations of Onsager's algebra are characterized by the zeros of truncation polynomials. The Z_N-chiral Potts quantum chain hamiltonians (of which the Isin…
Correlation Functions and Corner Transfer Matrix of the Chiral Potts Model
C. Ritter, G. von Gehlen
We use the Density Matrix Renormalization Group technique to compute correlation functions of the Z_3-chiral Potts quantum chain in the massive regimes. Chains of up to 70 sites ar…