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We consider noninteracting fermions on the honeycomb lattice in the presence of a magnetic vortex superlattice. It is shown that depending on the superlattice periodicity, a gap may open at zero energy. We derive an expression of the gap in…

Strongly Correlated Electrons · Physics 2011-10-20 M. Kamfor , S. Dusuel , K. P. Schmidt , J. Vidal

Recent experiments on switching antiferromagnetic domains by electric current pulses have attracted a lot of attention to spin-orbit torques in antiferromagnets. In this work, we employ the tight-binding model solver, kwant, to compute…

Disordered Systems and Neural Networks · Physics 2019-12-11 R. J. Sokolewicz , S. Ghosh , D. Yudin , A. Manchon , M. Titov

The evolution of magnetic correlation in strongly correlated electron systems with altermagentic spin splitting remains largely unexplored. Here we investigate how spin splitting generated by spin-dependent next-nearest-neighbor hopping t'…

Strongly Correlated Electrons · Physics 2026-03-16 Yinlong Li , Rana Imran Mushtaq , Ji Liu , Wing Chi Yu , Xiaosen Yang , Cho-Tung Yip , Ho-Kin Tang

We model the dynamics of magnetization in an artificial analog of spin ice specializing to the case of a honeycomb network of connected magnetic nanowires. The inherently dissipative dynamics is mediated by the emission, propagation and…

Mesoscale and Nanoscale Physics · Physics 2012-04-16 Yichen Shen , Olga Petrova , Paula Mellado , Stephen Daunheimer , John Cumings , Oleg Tchernyshyov

We present a general classification of the perturbations to the Kitaev model on the basis of their effect on it's spin correlation functions. We derive a necessary and sufficient condition for the spin correlators to exhibit a long ranged…

Strongly Correlated Electrons · Physics 2015-05-20 S. Mandal , Subhro Bhattacharjee , K. Sengupta , R. Shankar , G. Baskaran

We consider a half-filled system of spin-1/2 fermions on a triangular ladder with spin-dependent hopping in the presence of spin-dependent flux. Using the Schrieffer-Wolff transformation, we derive an effective spin Hamiltonian describing…

Strongly Correlated Electrons · Physics 2026-03-11 Shota Garuchava , Bachana Beradze , Tatia Sharia , George I. Japaridze

Kitaev's model of spins interacting on a honeycomb lattice describes a quantum spin-liquid, where an emergent static $\mathbb{Z}_2$ gauge field is coupled to Majorana fermions. In the presence of an external magnetic field and for a range…

Strongly Correlated Electrons · Physics 2019-01-21 Daniel Otten , Ananda Roy , Fabian Hassler

Cu2(pymca)3(ClO4) (pymca: pyrimidine-2-carboxylate) consists of a slightly distorted honeycomb lattice of Cu2+ spins, which shows no long-range magnetic order down to 0.6 K. A magnetization study revealed 1/3 and 2/3 plateau phases [A.…

Strongly Correlated Electrons · Physics 2025-08-11 Masaaki Matsuda , Alexander I. Kolesnikov , Zentaro Honda , Tokuro Shimokawa , Sho Inoue , Yasuo Narumi , Masayuki Hagiwara

We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. V. Isakov , K. Gregor , R. Moessner , S. L. Sondhi

We systematically test a quasi-classical spin model of a large spin-lattice in energy space, with a tunable, reversible Hamiltonian and effective long-range interactions. The system is simulated by a weakly interacting Fermi gas undergoing…

Quantum Gases · Physics 2023-12-04 J. Huang , Camen A. Royse , I. Arakelyan , J. E. Thomas

Artificial magnetic honeycomb lattices are expected to exhibit a broad and tunable range of novel magnetic phenomena that would be difficult to achieve in natural materials, such as long-range spin ice, entropy-driven magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 B. Summers , L. Debeer-Schmitt , A. Dahal , A. Glavic , P. Kampschroeder , J. Gunasekera , D. K. Singh

We present a systematic derivation of effective lattice spin Hamiltonians derived from a rotationally invariant multi-orbital Hubbard model including a term ensuring Hund's rule coupling. The Hamiltonians are derived down-folding the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Markus Hoffmann , Stefan Blügel

We consider the Cooper-problem on a two-dimensional, square lattice with a uniform, perpendicular magnetic field. Only rational flux fractions are considered. An extended (real-space) Hubbard model including nearest and next nearest…

Superconductivity · Physics 2009-11-07 S. Mo , A. Sudbo

We analyze the dynamical nearest-neighbor and next-nearest-neighbor spin correlations in the 4-site and 8-site dynamical cluster approximation to the two-dimensional Hubbard model. Focusing on the robustness of these correlations at long…

Strongly Correlated Electrons · Physics 2020-04-22 Philipp Werner , Xi Chen , Emanuel Gull

$\gamma$-${\rm Ba}_{3}{\rm CoNb}_{2}{\rm O}_{9}$ realizes a disordered simple-cubic spin-$1/2$ lattice in which Co$^{2+}$ ions randomly occupy one third of the sites, placing the system close to the site-percolation threshold for magnetic…

Motivated by the rapidly growing possibilities for experiments with ultracold atoms in optical lattices we investigate the thermodynamic properties of correlated lattice fermions in the presence of an external spin-dependent random…

Strongly Correlated Electrons · Physics 2015-06-15 K. Makuch , J. Skolimowski , P. B. Chakraborty , K. Byczuk , D. Vollhardt

A theory for spin and lattice couplings to the electronic states in high-T$_C$ oxides is presented, with HgBa$_2$CuO$_4$ as an example. A simple analytical model suggests that the barrel band is sensitive to potential perturbations with…

Superconductivity · Physics 2007-05-23 T. Jarlborg

Quantum spin liquids are materials that feature quantum entangled spin correlations and avoid magnetic long-range order at T = 0 K. Particularly interesting are two-dimensional honeycomb spin lattices where a plethora of exotic quantum spin…

Strongly Correlated Electrons · Physics 2020-11-20 C. Wessler , B. Roessli , K. W. Krämer , B. Delley , O. Waldmann , L. Keller , D. Cheptiakov , H. B. Braun , M. Kenzelmann

We study how ferromagnetism breaks down in the spin-$\tfrac12$ nearest-neighbor Heisenberg model on the maple-leaf lattice with ferromagnetic $J_t,J_d$ and antiferromagnetic $J_h$, motivated by the mixed ferro-antiferromagnetic interactions…

Strongly Correlated Electrons · Physics 2026-05-14 Paul L. Ebert , Yasir Iqbal , Alexander Wietek

We compute the momentum- and frequency-dependent longitudinal spin structure factor for the one-dimensional spin-1/2 $XXZ$ Heisenberg spin chain in a magnetic field, using exact determinant representations for form factors on the lattice.…

Strongly Correlated Electrons · Physics 2009-11-11 J. -S. Caux , J. -M. Maillet