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arXiv · 2503.21586

Exploring the magnetic states in the one-band Hubbard model: Impact of long-range hoppings

Sudip Mandal·Sandip Halder·Kalpataru Pradhan
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Abstract

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a considerable impact on the behavior of the system, creating distinct and complicated magnetic phases. We investigate the consequences of competing interactions in a half-filled one-band Hubbard model on a simple cubic lattice, incorporating hopping processes up to third-nearest-neighbors, to explore the underlying magnetotransport properties. Our magnetic phase diagrams at low temperatures, obtained using semi-classical Monte Carlo analysis, reveal that the long-range interactions can disrupt one form of magnetic phase while creating a new type of magnetic order. For the nonperturbative regime (on-site Hubbard repulsive strength $U \sim$ bandwidth) the C-type antiferromagnetic ground state is preferred over the G-type antiferromagnetic phase when the interaction between second-nearest neighbor sites becomes significant to the nearest-neighbor interactions. However, interactions beyond the second-nearest-neighbors are required to stabilize the A-type antiferromagnetic ground state. Remarkably, at low temperatures, a highly correlated paramagnetic insulating phase develops at the intersection between the antiferromagnetic phases, which might promote a three-dimensional spin-liquid state.

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Sudip Mandal, Sandip Halder, Kalpataru Pradhan. 2025-03-27. Exploring the magnetic states in the one-band Hubbard model: Impact of long-range hoppings. https://arxiv.org/abs/2503.21586

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