Phase diagram of the $J$-$J_d$ Heisenberg Model on the Maple-Leaf Lattice: Neural networks and density matrix renormalization group

arXiv (Cornell University), Journal Year: 2024, Volume and Issue: unknown

Published: Jan. 1, 2024

We microscopically analyze the nearest neighbor Heisenberg model on maple-leaf lattice through neural quantum states (NQS) and infinite density matrix renormalization group (iDMRG). Embarking to parameter regimes beyond exact dimer singlet ground state with a bond spin exchange coupling $J_d$ varied against strength $J$ of all other bonds, iDMRG finds paramagnetic phase for $J_d/J > 1.464$ ($J_d/J 1.39$) canted $120^\circ$ magnetic order < 1.419$ 1.23$). Assessing training convergence inaccuracies NQS influence finite cylindric circumference iDMRG, we discuss possible existence an intermediate between magnet paramagnet.

Language: Английский

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Phase diagram of the J1−J2 quantum Heisenberg model for arbitrary spin

Physical review. B./Physical review. B, Journal Year: 2024, Volume and Issue: 109(18)

Published: May 6, 2024

We use the spin functional renormalization group to investigate ${J}_{1}\text{\ensuremath{-}}{J}_{2}$ quantum Heisenberg model on a square lattice. By incorporating sum rules associated with fixed length of operators as well nontrivial dynamics implied by algebra, we are able compute ground state phase diagram for arbitrary $S$, including paramagnetic at strong frustration. Our prediction extent this region $S=1/2$ agrees other approaches that computationally more expensive. find disappears $S\ensuremath{\gtrsim}5$ due suppression fluctuations increasing $S$.

Language: Английский

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Candidate quantum spin liquids on the maple-leaf lattice

Physical review. B./Physical review. B, Journal Year: 2024, Volume and Issue: 110(1)

Published: July 10, 2024

Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin-1/2 Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field Ansätze of fully symmetric U (1) and Z2 spin liquids within framework projective symmetry groups.We obtain a total 17 12 algebraic PSGs, and, upon restricting their realization via with nearestneighbor amplitudes (relevant to studied models), only 8 distinct phases are obtained.We present both singlet triplet fields for all up third nearest-neighbor bonds discuss spinon dispersions as well dynamical structure factors.We further assess effects Gutzwiller projection equal-time factors, identify Fermi surface liquid whose factor most closely reproduces one obtained from pseudo-fermion functional renormalization group calculations.

Language: Английский

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Renormalization group model of turbulent bioconvection of gyrotactic microorganisms

Waves in Random and Complex Media, Journal Year: 2024, Volume and Issue: unknown, P. 1 - 19

Published: July 15, 2024

The problems connected with processes of turbulent bioconvection are considered. These typical for technologies microbiological and other industries. concept using renormalization groups in the theory turbulence is shown. A step-by-step algorithm applying methodology to deriving equation mass transfer bioconvective processes, which includes diffusion coefficient, presented. dependence Schmidt number was obtained. It has been shown that function six parameters: molecular number, viscosity, parameter geometric shape microorganisms, average velocity motion microorganisms relative fluid, orientation parameter. enables closing equation. effect on development a flow presence gyrotactic analyzed. Analysis shows spherical symmetry make small contribution formation processes. results analysis good agreement data from studies nonlinear hydrodynamic stability based Lorentz model.

Language: Английский

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Interacting Floquet topological magnons in laser-irradiated Heisenberg honeycomb ferromagnets

Physics Letters A, Journal Year: 2024, Volume and Issue: 528, P. 130054 - 130054

Published: Nov. 10, 2024

Language: Английский

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