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- Gunther Gehlen
- 1992

We calculate the low-lying part of the spectrum of the Z3-symmetrical chiral Potts quantum chain in its self-dual and integrable versions, using numerical diagonalisation of the hamiltonian for N â‰¤â€¦ (More)

- Gunther Gehlen, S. Pakuliak, S. Sergeev
- 2003

We report progress in constructing Boltzmann weights for integrable 3dimensional lattice spin models. We show that a large class of vertex solutions to the modified tetrahedron equation can beâ€¦ (More)

- Gunther Gehlen
- 1994

Using finite-size-scaling methods, we study the quantum chain version of the spin-1-Blume-Capel model coupled to an imaginary field. The aim is to realize higher order nonunitary conformal fieldâ€¦ (More)

- Gunther Gehlen, N. Z. Iorgov, S Pakuliak, V Shadura
- 2008

The Baxter-Bazhanov-Stroganov model (also known as the Ï„ (2) model) has attracted much interest because it provides a tool for solving the integrable chiral ZN -Potts model. It can be formulated as aâ€¦ (More)

Finite-dimensional representations of Onsagerâ€™s algebra are characterized by the zeros of truncation polynomials. The ZN -chiral Potts quantum chain hamiltonians (of which the Ising chain hamiltonianâ€¦ (More)

We calculate the lowest translationally invariant levels of the Z Z 3-and Z Z 4-symmetrical chiral Potts quantum chains, using numerical diagonalization of the hamil-tonian for N â‰¤ 12 and N â‰¤ 10â€¦ (More)

We study the excitation spectrum and the correlation functions of the Z3-chiral Potts model in the massive high-temperature phase using perturbation expansions and numerical diagonalization. We areâ€¦ (More)

- Gunther Gehlen
- 1998

In the solution of the superintegrable chiral Potts model special polynomials related to the representation theory of the Onsager algebra play a central role. We derive approximate analytic formulaeâ€¦ (More)

- Gunther Gehlen, N. Z. Iorgov, S Pakuliak, V Shadura, Yu Tykhyy
- 2008

We continue our investigation of the ZN -Baxterâ€“Bazhanovâ€“Stroganov model using the method of separation of variables [1]. In this paper we calculate the norms and matrix elements of a local ZN -spinâ€¦ (More)

- Gunther Gehlen, S. Pakuliak, Sergey Sergeev
- 2003

A large class of 3-dimensional integrable lattice spin models is constructed. The starting point is an invertible canonical mapping operator R1,2,3 in the space of a triple Weyl algebra. R1,2,3 isâ€¦ (More)