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# The one-dimensional extended Bose–Hubbard model

Pai, Ramesh V and Pandit, Rahul (2003) The one-dimensional extended Bose–Hubbard model. In: Proceedings of the Indian Academy of Sciences: Chemical Sciences, 115 (5-6). pp. 721-726.

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We use the finite-size, density-matrix-renormalization-group(DMRG) method to obtain the zero-temperature phase diagram of the one-dimensional,extended Bose–Hubbard model, for mean boson density $\rho = 1$, in the U–V plane (U and V are respectively, onsite and nearest-neighbour repulsive interactions between bosons). The phase diagram includes superfluid (SF), bosonic-Mott-insulator(MI),and mass-density-wave (MDW) phases. We determine the natures of the quantum phase transitions between these phases.