TY - JOUR

T1 - Dynamical properties of the two-dimensional Holstein-Hubbard model in the normal state at zero temperature

T2 - A fluctuation-based effective cumulant approach

AU - Hakioğlu, T.

AU - Zhuravlev, M. Ye

PY - 1998/1/1

Y1 - 1998/1/1

N2 - The two-dimensional many-body Holstein-Hubbard model in the (Formula presented) normal state is examined within the framework of the self-consistent coupling of charge fluctuation correlations to the vibrational ones. The parameters of our model are the adiabaticity, the electron concentration, as well as the electron-phonon and the Coulomb interaction strengths. A fluctuation-based effective cumulant approach is introduced to examine the (Formula presented) normal-state fluctuations and an analytic approximation to the true dynamical entangled ground state is suggested. Our results for the effective charge-transfer amplitude, the ground state energy, the fluctuations in the phonon population, the phonon softening as well as the coupling constant renormalizations suggest that, the recent numerical calculations of de Mello and Ranninger (Ref. 5), Berger, Valášek, and von der Linden (Ref. 2), and Marsiglio (Refs. 4 and 8) on systems with finite degrees of freedom can be qualitatively extended to the systems with large degrees of freedom.

AB - The two-dimensional many-body Holstein-Hubbard model in the (Formula presented) normal state is examined within the framework of the self-consistent coupling of charge fluctuation correlations to the vibrational ones. The parameters of our model are the adiabaticity, the electron concentration, as well as the electron-phonon and the Coulomb interaction strengths. A fluctuation-based effective cumulant approach is introduced to examine the (Formula presented) normal-state fluctuations and an analytic approximation to the true dynamical entangled ground state is suggested. Our results for the effective charge-transfer amplitude, the ground state energy, the fluctuations in the phonon population, the phonon softening as well as the coupling constant renormalizations suggest that, the recent numerical calculations of de Mello and Ranninger (Ref. 5), Berger, Valášek, and von der Linden (Ref. 2), and Marsiglio (Refs. 4 and 8) on systems with finite degrees of freedom can be qualitatively extended to the systems with large degrees of freedom.

UR - http://www.scopus.com/inward/record.url?scp=0342578545&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.58.3777

DO - 10.1103/PhysRevB.58.3777

M3 - Article

AN - SCOPUS:0342578545

VL - 58

SP - 3777

EP - 3793

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 7

ER -