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Magnetic moments arranged at the corners of a honeycomb lattice are predicted to form a novel state of matter, Kitaev quantum spin liquid, under the influence of frustration effects between bond-dependent Ising interactions. Some layered…

Strongly Correlated Electrons · Physics 2022-03-09 Sean K. Takahashi , Jiaming Wang , Alexandre Arsenault , Mykola Abramchuk , Fazel Tafti , Philip M. Singer , Takashi Imai

The interplay between lattice topology, frustration, and spin quantum number, $s$, is explored for the Heisenberg antiferromagnet (HAFM) on the eleven two-dimensional Archimedean lattices (square, honeycomb, CaVO, SHD, SrCuBO, triangle,…

Strongly Correlated Electrons · Physics 2019-03-20 D. J. J. Farnell , O. Götze , J. Schulenburg , R. Zinke , R. F. Bishop , P. H. Y. Li

We consider a tight-binding model on the honeycomb lattice in a magnetic field. For special values of the hopping integrals, the dispersion relation is linear in one direction and quadratic in the other. We find that, in this case, the…

Mesoscale and Nanoscale Physics · Physics 2009-06-09 Petra Dietl , Frederic Piechon , Gilles Montambaux

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

Experiments and numerical data on the correlation length for large S disagree strongly with the theoretical prediction based on the effective field theory prescription of the magnon physics. The reason is that for large S, at any accessible…

Condensed Matter · Physics 2009-10-31 P. Hasenfratz

In this work, the order parameter and the two-site correlation functions are expressed properly using the decimation transformation process in the presence of an external field so that their applications lead to some significant physical…

Statistical Mechanics · Physics 2020-05-05 Tuncer Kaya

The spin Hall effect is investigated in a two-orbital tight-binding model on a honeycomb lattice. We show that the model exhibits three topologically-different insulating phases at half filling, which are distinguished by different…

Strongly Correlated Electrons · Physics 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

Optical lattice experiments with ultracold fermion atoms and quantum gas microscopy have recently realized direct measurements of magnetic correlations at the site-resolved level. We calculate the short-range spin correlation functions in…

Strongly Correlated Electrons · Physics 2017-08-28 Mingpu Qin , Hao Shi , Shiwei Zhang

We discuss the magnetic phases of the Hubbard model for the honeycomb lattice both in two and three spatial dimensions. A ground state phase diagram is obtained depending on the interaction strength U and electronic density n. We find a…

Strongly Correlated Electrons · Physics 2016-08-31 N. M. R. Peres , M. A. N. Araujo , Daniel Bozi

We consider fermions in one-dimensional superlattices (SL's), modeled by site-dependent Hubbard-U couplings arranged in a repeated pattern of repulsive (i.e., U>0) and free (U=0) sites. Density Matrix Renormalization Group (DMRG)…

Strongly Correlated Electrons · Physics 2009-11-07 Andre L Malvezzi , Thereza Paiva , Raimundo R dos Santos

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered…

Strongly Correlated Electrons · Physics 2009-11-13 P. Thalmeier , M. E. Zhitomirsky , B. Schmidt , N. Shannon

Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We…

Strongly Correlated Electrons · Physics 2015-05-27 Johannes Reuther , Dmitry Abanin , Ronny Thomale

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

Microscopic models of quantum antiferromagnets are investigated on the basis of a mapping onto effective low energy hamiltonians. Lattice effects are carefully taken into account and their role is discussed. We show that the presence of an…

Strongly Correlated Electrons · Physics 2009-11-07 A. S. Gliozzi , A. Parola

We show that for the half-filled Kondo lattice model on the honeycomb lattice a Kondo breakdown occurs at small Kondo couplings $J_k$ within the magnetically ordered phase. Our conclusions are based on auxiliary field quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2022-11-01 Marcin Raczkowski , Bimla Danu , Fakher F. Assaad

We study the gapped phase of the Kitaev model on the honeycomb lattice using perturbative continuous unitary transformations. The effective low-energy Hamiltonian is found to be an extended toric code with interacting anyons. High-energy…

Other Condensed Matter · Physics 2008-05-06 K. P. Schmidt , S. Dusuel , J. Vidal

High-frequency ESR results on the S=1/2 Heisenberg hexagonal antiferromagnet InCu2/3V1/3O3 are reported. This compound appears to be a rare model substance for the honeycomb lattice antiferromagnet with very weak interlayer couplings. The…

Strongly Correlated Electrons · Physics 2015-03-17 Susumu Okubo , Hideo Wada , Hitoshi Ohta , Takahiro Tomita , Masashi Fujisawa , Takahiro Sakurai , Eiji Ohmichi , Hikomitsu Kikuchi

The magnetic properties of a system of coexisting localized spins and conduction electrons are investigated within an extended version of the one dimensional Kondo lattice model in which effects stemming from the electron-lattice and…

Strongly Correlated Electrons · Physics 2009-11-10 M. Gulacsi , A. Bussmann-Holder , A. R. Bishop

Longitudinal magnons are a distinct type of multipolar excitations in magnetic materials with large spins $S\ge 1$ and strong easy-axis anisotropy. These excitations have angular momentum $S^z = \pm 2S$ and can be viewed as a propagating…

Strongly Correlated Electrons · Physics 2026-02-20 A. El Mendili , T. Ziman , M. E. Zhitomirsky

We study the phase diagram of the frustrated XY model on the honeycomb lattice by using accurate correlated wave functions and variational Monte Carlo simulations. Our results suggest that a spin-liquid state is energetically favorable in…

Strongly Correlated Electrons · Physics 2014-01-07 Juan Carrasquilla , Andrea Di Ciolo , Federico Becca , Victor Galitski , Marcos Rigol
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