Study of supersolidity in the two-dimensional Hubbard–Holstein model

Amrita Ghosh, Satyaki Kar and Sudhakar Yarlagadda ()
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Amrita Ghosh: CMP Division, Saha Institute of Nuclear Physics, HBNI
Satyaki Kar: Theoretical Physics Department, Indian Association for the Cultivation of Science
Sudhakar Yarlagadda: CMP Division, Saha Institute of Nuclear Physics, HBNI

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 9, 1-12

Abstract: Abstract We derive an effective Hamiltonian for the two-dimensional Hubbard–Holstein model in the regimes of strong electron–electron and strong electron–phonon interactions by using a nonperturbative approach. In the parameter region where the system manifests the existence of a correlated singlet phase, the effective Hamiltonian transforms to a t1 − V 1 − V 2 − V 3 Hamiltonian for hard-core-bosons on a checkerboard lattice. We employ quantum Monte Carlo simulations, involving stochastic-series-expansion technique, to obtain the ground state phase diagram. At filling 1∕8, as the strength of off-site repulsion increases, the system undergoes a first-order transition from a superfluid to a diagonal striped solid with ordering wavevector $\vec{Q}$ Q ⃗ = (π∕4, 3π∕4) or (π∕4, 5π∕4). Unlike the one-dimensional situation, our results in the two-dimensional case reveal a supersolid phase (corresponding to the diagonal striped solid) around filling 1∕8 and at large off-site repulsions. Furthermore, for small off-site repulsions, we witness a valence bond solid at one-fourth filling and tiny phase-separated regions at slightly higher fillings.

Date: 2018
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DOI: 10.1140/epjb/e2018-90350-y

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