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Using large-scale quantum Monte Carlo simulations, we determine the ground state phase diagram of the spin-1/2 antiferromagnetic Heisenberg model on the honeycomb lattice for the most generic case of three varying interaction strengths…

Strongly Correlated Electrons · Physics 2023-12-19 Alexander Sushchyev , Stefan Wessel

We use Monte Carlo techniques and analytical methods to study the phase diagram of multicomponent Widom-Rowlinson models on a square lattice: there are M species all with the same fugacity z and a nearest neighbor hard core exclusion…

Statistical Mechanics · Physics 2009-10-30 J. L. Lebowitz , A. Mazel , P. Nielaba , L. Samaj

Strongly correlated systems with geometric frustrations can host the emergent phases of matter with unconventional properties. Here, we study the spin $S = 1$ Heisenberg model on the honeycomb lattice with the antiferromagnetic first-…

Strongly Correlated Electrons · Physics 2015-11-10 Shou-Shu Gong , Wei Zhu , D. N. Sheng

We investigate the ground-state phase diagram of an anisotropic Heisenberg model on the honeycomb lattice with competing interactions. We use quantum Monte Carlo simulations, as well as linear spin-wave and Ising series expansions, to…

Strongly Correlated Electrons · Physics 2012-09-12 A. Kalz , M. Arlego , D. Cabra , A. Honecker , G. Rossini

We study a non linear sigma model $O(N)\otimes O(2)/O(N-2)\otimes O(2)$ describing the phase transition of N-components helimagnets up to two loop order in $D=2+\epsilon$ dimensions. It is shown that a stable fixed point exists as soon as…

Condensed Matter · Physics 2010-03-25 P. Azaria , B. Delamotte , F. Delduc , Th. Jolicoeur

In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a second-order, continuous phase transition and a…

Statistical Mechanics · Physics 2007-05-23 R. S. Ellis , P. Otto , H. Touchette

Motivated by the recently synthesized insulating nickelate Ni$_2$Mo$_3$O$_8$, which has been reported to have an unusual non-collinear magnetic order of Ni$^{2+}$ $S=1$ moments with a nontrivial angle between adjacent spins, we construct an…

Strongly Correlated Electrons · Physics 2021-08-17 Shuyi Li , Manh Duc Le , Vaideesh Loganathan , Andriy H. Nevidomskyy

We study the Ising model with competing ferromagnetic nearest- and antiferromagnetic next-nearest-neighbor interactions of strengths $J_1 > 0$ and $J_2 < 0$, respectively, on the honeycomb lattice. For $J_2 > - J_1 / 4$ it has a…

Statistical Mechanics · Physics 2026-03-30 Denis Gessert , Martin Weigel , Wolfhard Janke

The Kitaev-Heisenberg model defined on both honeycomb and triangular lattices has been studied intensively in recent years as a possible model to describe spin-orbital physics in iridium oxides. In the model, there are many phases…

Strongly Correlated Electrons · Physics 2018-08-15 Masanori Kishimoto , Katsuhiro Morita , Yukihiro Matsubayashi , Shigetoshi Sota , Seiji Yunoki , Takami Tohyama

Motivated by the recent numerical evidence[1] of a short-range resonating valence bond state in the honeycomb lattice Hubbard model, we consider Schwinger boson mean field theories of possible spin liquid states on honeycomb lattice. From…

Strongly Correlated Electrons · Physics 2017-06-20 Fa Wang

We introduce an order parameter for symmetry-protected phases in one dimension which allows to directly identify those phases. The order parameter consists of string-like operators and swaps, but differs from conventional string order…

Strongly Correlated Electrons · Physics 2012-08-17 Jutho Haegeman , David Perez-Garcia , Ignacio Cirac , Norbert Schuch

The static and dynamic critical properties of the ferromagnetic q-state Potts models on a square lattice with q = 2 and 3 are numerically studied via the nonequilibrium relaxation method. The relaxation behavior of both the order parameter…

Statistical Mechanics · Physics 2009-11-13 Keekwon Nam , Bongsoo Kim , Sung Jong Lee

We use numerical transfer-matrix methods, together with finite-size scaling and conformal invariance concepts, to discuss critical properties of two-dimensional honeycomb-lattice Ising spin-1/2 magnets, with couplings which are…

Statistical Mechanics · Physics 2013-02-18 S. L. A. de Queiroz

We investigate the classical phase diagram of the stuffed honeycomb Heisenberg lattice, which consists of a honeycomb lattice with a superimposed triangular lattice formed by sites at the center of each hexagon. This lattice encompasses and…

Strongly Correlated Electrons · Physics 2018-10-17 Jyotisman Sahoo , Dmitrii Kochkov , Bryan K. Clark , Rebecca Flint

Two-dimensional artificial magnetic honeycomb lattice is at the forefront of research on unconventional magnetic materials. Among the many emergent magnetic phases that are predicted to arise as a function of temperature, the low…

Mesoscale and Nanoscale Physics · Physics 2018-02-20 A. Dahal , B. Summers , D. K. Singh

The interplay between itinerant electrons and local magnetic moments in quantum materials brings about rich and fascinating phenomena and stimulates various developments in the theoretical framework. In this work, thermodynamic, electric…

Machine-learning (ML) models trained on Ising spin configurations have demonstrated surprising effectiveness in classifying phases of Potts models, even when processing severely reduced representations that retain only two spin states. To…

Statistical Mechanics · Physics 2026-01-16 Yi-Lun Du , Nan Su , Konrad Tywoniuk

We propose that the "hidden order parameter" in URu$_2$Si$_2$ is a helicity order which must arise, if the Pomeranchuk criteria for the spin-antisymmetric Landau parameters with respect to the stability of a Fermi liquid state are violated.…

Strongly Correlated Electrons · Physics 2009-11-11 C. M. Varma , Lijun Zhu

We obtain the most general forms of rank-2 and rank-3 tensors allowed by the crystal symmetries of the honeycomb lattice of edge-sharing octahedra for crystals belonging to different crystallographic point groups, including the monoclinic…

Strongly Correlated Electrons · Physics 2021-04-15 Franz G. Utermohlen , Nandini Trivedi

Within the linear flavor-wave theory, we show that, caused by quantum order-by-disorder mechanism, the spin-1 bilinear-biquadratic Heisenberg model defined on a honeycomb lattice can spontaneously develop a columnar dimer order with a…

Strongly Correlated Electrons · Physics 2012-03-12 Yu-Wen Lee , Min-Fong Yang