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Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice

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Richter,  Johannes
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1902.01179.pdf
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Citation

Ghosh, P., Mueller, T., Toldin, F. P., Richter, J., Narayanan, R., Thomale, R., et al. (2019). Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice. Physical Review B, 100(1): 014420. doi:10.1103/PhysRevB.100.014420.


Cite as: http://hdl.handle.net/21.11116/0000-0004-C78F-B
Abstract
We investigate the spin S = 1/2 Heisenberg model on the body centered cubic lattice in the presence of ferromagnetic and antiferromagnetic nearest-neighbor J(1), second-neighbor J(2), and third-neighbor J(3) exchange interactions. The classical ground state phase diagram obtained by a Luttinger-Tisza analysis is shown to host six different (noncollinear) helimagnetic orders in addition to ferromagnetic, Ned, stripe, and planar antiferromagnetic orders. Employing the pseudofermion functional renormalization group (PFFRG) method for quantum spins (S = 1/2) we find an extended nonmagnetic region, and significant shifts to the classical phase boundaries and helimagnetic pitch vectors caused by quantum fluctuations, while no new long-range dipolar magnetic orders are stabilized. The nonmagnetic phase is found to disappear for S = 1. We calculate the magnetic ordering temperatures from PFFRG and quantum Monte Carlo methods, and make comparisons to available data.