Energy spectrum of extended Hubbard model with spin-dependent hopping and related spin ladder model

Cheranovskii, VO
Ezerskaya, EV
Özkan, İlker
We studied the energy spectrum of the 1-D extended Hubbard model with spin-dependent hopping and related spin ladder system formed by two coupled XXZ spin 1/2 chains with the interchain interaction of Ising type. It was proved that the model excitation spectrum has no gap excepting some special values of z-projection of the ground-state total spin. The thorough analytic consideration of two-magnon states was given. The existence tip to five bound states at specified value of quasimomentum of the pair of inverted spins was shown. We also present the results of density matrix renormalization group calculations that showed nonadequacy of the pair approximation for n-magnon bound states of the extended model with the strong electron-electron interactions. (C) 2002 Wiley Periodicals, Inc.


Energy spectrum and thermodynamics of anisotropic spin-1/2 two-leg ladder
Cheranovskii, V. O.; Chovpan, A. A.; Ezerskaya, E. V.; Özkan, İlker (2006-08-15)
We studied the energy spectrum and some finite temperature properties of two-leg spin-1/2 ladder with XXZ interactions in legs and rungs. It is shown that for a strong ferromagnetic interchain interaction, there is a first-order transition between ferromagnetic and nonmagnetic phases. The anisotropic ladder in the magnetic field may have up to four low-temperature maxima in the temperature dependence of specific heat. (c) 2006 Wiley Periodicals, Inc.
Equivariant fields in an SU(N) gauge theory with new spontaneously generated fuzzy extra dimensions
Kürkcüoğlu, Seçkin (2016-05-11)
We find new spontaneously generated fuzzy extra dimensions emerging from a certain deformation of N = 4 supersymmetric Yang-Mills theory with cubic soft supersymmetry breaking and mass deformation terms. First, we determine a particular four-dimensional fuzzy vacuum that may be expressed in terms of a direct sum of product of two fuzzy spheres, and denote it in short as S-F(2Int) x S-F(2Int) . The direct sum structure of the vacuum is clearly revealed by a suitable splitting of the scalar fields in the mode...
Energy spectrum of a 2D Dirac oscillator in the presence of a constant magnetic field and an antidot potential
Akçay, Hüseyin; Sever, Ramazan (2016-07-04)
We investigate the energy spectrum and the corresponding eigenfunctions of a 2D Dirac oscillator confined by an antidot potential in the presence of a magnetic field and Aharonov-Bohm flux field. Analytical solutions are obtained and compared with the results of the Schrodinger equation found in the literature. Further, the dependence of the spectrum on the magnetic quantum number and on the repulsive potential is discussed.
Balachandran, A. P.; Kürkcüoğlu, Seçkin; De Queiroz, A. R. (World Scientific Pub Co Pte Lt, 2013-03-14)
We first review the spontaneous Lorentz symmetry breaking in the presence of mass-less gauge fields and infraparticles. This result was obtained long time ago in the context of rigorous quantum field theory (QFT) by Frohlich, Morchio and Strocchi [Ann. Phys. 119, 241 (1979); Phys. Lett. B 89, 61 (1979)] and reformulated by Balachandran and Vaidya (arXiv:1302.3406) using the notion of superselection sectors and directiondependent test functions at spatial infinity for gauge transformations. Inspired by these...
Chern-Simons modified general relativity: Conserved charges
Tekin, Bayram (American Physical Society (APS), 2008-01-01)
We construct the conserved charges (mass and angular momentum) of the Chern-Simons modified general relativity in asymptotically flat and anti-de Sitter (AdS) spacetimes. Our definition is based on background Killing symmetries and reduces to the known expressions in the proper limits.
Citation Formats
V. Cheranovskii, E. Ezerskaya, and İ. Özkan, “Energy spectrum of extended Hubbard model with spin-dependent hopping and related spin ladder model,” INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, pp. 398–402, 2002, Accessed: 00, 2020. [Online]. Available: