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19952023
most citedHow instanton combinatorics solves Painlevé VI, V and III's

102 citations · 621 across the 36 of their papers we have counts for

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cond-mat.stat-mech2020★ 18 cited

Effective free-fermionic form factors and the XY spin chain

O. Gamayun, N. Iorgov, Yu. Zhuravlev

We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one han…

cond-mat.stat-mech2011★ 12 cited

Finite-lattice form factors in free-fermion models

N. Iorgov, O. Lisovyy

We consider the general -symmetric free-fermion model on the finite periodic lattice, which includes as special cases the Ising model on the square and triangular lat…

cond-mat.stat-mech2010★ 22 cited

Spin operator matrix elements in the quantum Ising chain: fermion approach

N. Iorgov, V. Shadura, Yu. Tykhyy

Using some modification of the standard fermion technique we derive factorized formula for spin operator matrix elements (form-factors) between general eigenstates of the Hamiltoni…

cond-mat.stat-mech2009★ 13 cited

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…

cond-mat.stat-mech2009★ 18 cited

Form-factors of the finite quantum XY-chain

Nikolai Iorgov

Explicit factorized formulas for the matrix elements (form-factors) of the spin operators σ^x and σ^y between the eigenvectors of the Hamiltonian of the finite quantum periodic XY-…