Correlation effects for semiconducting single wall carbon nanotube: a density matrix renormalization group study

Abstract

In this paper, we report the applicability of the density matrix renormalization group(DMRG) approach to the cylindrical single wall carbon nanotube (SWCN) for purpose of its correlation effect. By applying the DMRG approach to the $t$+$U$+$V$ model, with $t$ and $V$ being the hopping and Coulomb energies between the nearest neighboring sites, respectively, and $U$ the onsite Coulomb energy, we calculate the phase diagram for the SWCN with chiral numbers ($n_1=3,n_2=2$), which reflects the competition between the correlation energy $U$ and $V$. Within reasonable parameter ranges, we investigate possible correlated groundstates, the lowest excitations and the corresponding correlation functions in which the connection with the excitonic insulator is particularly addressed.

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Cited by in corpus (3)

• New Trends in Density Matrix Renormalization
• Excitation Spectrum of One-dimensional Extended Ionic Hubbard Model
• Universality in the Photophysics of pi-Conjugated Polymers and Single-Walled Carbon Nanotubes