Ising transition in a one-dimensional quarter-filled electron system with dimerization

Abstract

We examine critical properties of the quarter-filled one-dimensional Hubbard model with dimerization and with the onsite and nearest-neighbor Coulomb repulsion U and V. By utilizing the bosonization method, it is shown that the system exhibits an Ising quantum phase transition from the Mott insulating state to the charge-ordered insulating state. It is also shown that the dielectric permittivity exhibits a strong enhancement as decreasing temperature with power-law dependence at the Ising critical point.

8 pages, 1 figure, uses elsart.cls, Proc. Int. Symp. ISSP-Kashiwa 2001, submitted to J. Phys. Chem. Solids

References in corpus (1)

• Crossover from Quarter-Filling to Half-Filling in a One-Dimensional Electron System with a Dimerized and Quarter-Filled Band

Cited by in corpus (13)

• Theoretical Aspects of Charge Ordering in Molecular Conductors
• Collective Charge Excitation in a Dimer Mott Insulating System
• Charge-Ordered State versus Dimer-Mott Insulator at Finite Temperatures
• Ising tricriticality in the extended Hubbard model with bond dimerization
• Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
• Ab initio derivation of multi-orbital extended Hubbard model for molecular crystals
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Quantum phase transitions in the dimerized extended Bose-Hubbard model
• Z_3 Quantum Criticality in a spin-1/2 chain model
• Quantum phase transition in the one-dimensional extended Peierls-Hubbard model
• Quarter-filled extended Hubbard model with alternating transfer integral: Two-dimensional Ising transition in the ground state
• Competition of Dimerization and Charge Ordering in the Spin-Peierls State of Organic Conductors
• Critical behavior of the extended Hubbard model with bond dimerization