13 citations · 60 across the 35 of their papers we have counts for
22 papers · 1 filter
The competition between low-temperature kinks and magnons at the vicinity of the deconfinement transition point in 1D easy-axis XXZ ferromagnet
P. N. Bibikov
Studying the ordered phases and quantum supercritical low-temperature regime at the vicinity of the deconfinement transition point in 1D easy-axis XXZ ferromagnet, we suggest their…
Magnon peak lineshape in the transverse dynamical structure factor of a magnetically polarized easy-axis chain at low temperatures
P. N. Bibikov
The ferromagnetically polarized gapped XXZ spin chain is studied at low temperatures. Utilizing only the one- and two-magnon spectrums and focusing on the magnon-creation contribut…
Low-temperature asymptotics for transverse autocorrelator of the magnetically polarized Ising chain studied by ordinary and nested Dyson equations
P. N. Bibikov
Suggesting two versions for the Plakida-Tserkovnikov algorithm breakdown in the low-temperature regime, we derive ordinary and nested Dyson equations for the transverse autocorrela…
Thermodynamics of an Ising-like XXZ chain in a longitudinal magnetic field in the framework of the Quantum Transfer Matrix approach
P. N. Bibikov
Taking the Ising chain as a reference model we have derived a perturbative expression for the free energy density of the Heisenberg-Ising chain with strong easy-axis anisotropy. Al…
Low-temperature asymptotics for the transverse dynamical structure factor for a magnetically polarized chain at small and negative frequencies
P. N. Bibikov
Using the truncated form factor expansion the low-temperature asymptotics for the transverse dynamical structure factor of the magnetically polarized chain is studied. Unlike…
Low-temperature asymptotic of the transverse dynamical structure factor for a magnetically polarized XX chain
P. N. Bibikov
Dyson equation for the real two-time commutator retarded one-magnon Green function of the ferromagnetically polarized XX chain is suggested following the Plakida-Tserkovnikov algor…
Bethe Ansatz for two-magnon scattering states in 2D and 3D Heisenberg-Ising ferromagnets
P. N. Bibikov
Various versions of the Bethe ansatz are suggested for evaluation of scattering two-magnon states in 2D and 3D Heisenberg-Ising ferromagnets. It is shown that for 2D square (3D qub…
Three magnons in an isotropic ferromagnetic chain as an exactly solvable non-integrable system
P. N. Bibikov
It is shown that a generalization of Bethe Ansatz based on an utilization of {\it degenerative discrete-diffractive} wave functions solves the three-magnon problem for the is…
R-matrices for integrable axially symmetric S=1 spin chains
P. N. Bibikov, A. G. Nuramatov
The Reshetikhin condition for the general Hamiltonian density matrix of the axially symmetric spin chain is completely solved. 16 new integrable models and corresponding -…
Second cluster integral from the spectrum of an infinite XXZ spin chain
P. N. Bibikov
First and second terms of the low-temperature cluster expansion for the free energy density of a magnetically polarized spin chain is obtained within the propagator approach…
On the ground state energy scaling in quasi-rung-dimerized spin ladders
P. N. Bibikov
On the basis of periodic boundary conditions we study perturbatively a large N asymptotics (N is the number of rungs) for the ground state energy density and gas parameter of a spi…
Free from spurious solutions integral equation for three-magnon bound states in 1D XXZ ferromagnet
P. N. Bibikov
A new integral equation for three-magnon bound states in XXZ spin chain is suggested. Unlike the one presented by C. K. Majumdar about 40 years ago this equation does not have spur…
Three-magnon bound states in exactly rung-dimerized spin ladders
P. N. Bibikov
Three magnon bound states in all total spin sectors of general nonintegrable exactly rung-dimerized spin ladder are obtained by Bethe Ansatz. Basing on this result a dispersion law…
Ground state fluctuations in rung-dimerised spin ladders
P. N. Bibikov
Treating an exactly rung-dimerized spin ladder as a reference model we study perturbatively zero temperature quantum fluctuations in spin ladders with slightly destroyed rung-dimer…
Three-magnon problem for exactly rung-dimerized spin ladders: from general outlook to Bethe Ansatze
P. N. Bibikov
Three-magnon problem for exactly rung-dimerized spin ladder is brought up separately at all total spin sectors. At first a special duality transformation of the $\rm Schr\ddot odin…
Low- and high-field induced uniform and staggered magnetizations of a spin ladder with DM term
P. N. Bibikov
Analytic expressions for uniform and staggered magnetizations of a spin ladder with a staggered Dzyaloshinskii-Moriya interaction along rungs are obtained in the lowest perturbativ…
Magnon mode truncation in a rung-dimerized asymmetric spin ladder
P. N. Bibikov
An exactly solvable effective model is suggested for an asymmetric spin ladder with dimerized rungs. Magnon mode truncation originated from magnon decay (recently observed in the 1…
R-matrices for integrable -symmetric S=1/2 spin-orbital chains
P. N. Bibikov
The Yang-Baxter equation for a -symmetric spin-orbital chain was solved using the special computer algorithm developed by the author. The 8 new -matric…
Origin of the second coherent peak in the dynamical structure factor of an asymmetric spin-ladder
P. N. Bibikov, M. I. Vyazovsky
Appearance of the second coherent peak in the dynamical structure factor of an asymmetric spin ladder is suggested. The general arguments are confirmed by the first order (with res…
Zero-temperature magnetic-field-induced phase transition between two ordered gapped phases in spin-ladders with ferromagnetic legs
P. N. Bibikov
We suggest that under an increase of a magnetic field a spin-ladder with ferromagnetic legs does not pass without fail through an incommensurate phase but possibly in a straight wa…
One-magnon states and electron spin resonance in spin-ladders with singlet-rung ground statein a staggered magnetic field
P. N. Bibikov
One-magnon problem for spin-ladders with exact singlet-rung ground state in arbitrary oriented constant and staggered magnetic fields is studied. For two special configurations whe…
Two-magnon Raman scattering in spin-ladders with exact singlet-rung ground state
P. N. Bibikov
We suggest a family of spin-ladder models with exact singlet-rung vacuum. In addition to the terms describing interactions along legs and rungs the Hamiltonian has frustration and…