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The classical bilinear-biquadratic nearest-neighbor Heisenberg antiferromagnet on the pyrochlore lattice does not exhibit conventional Neel-type magnetic order at any temperature or magnetic field. Instead spin correlations decay…

Strongly Correlated Electrons · Physics 2010-05-18 Nic Shannon , Karlo Penc , Yukitoshi Motome

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice in the vortex regime. Within this regime, the spin system cannot overcome the energetic barrier of chirality…

Mathematical Physics · Physics 2020-11-23 Annika Bach , Marco Cicalese , Leonard Kreutz , Gianluca Orlando

We study the spin ordering within the 3-leg ladders present in the oxyborate Fe(3)O(2)BO(3) consisting of localized classical spins interacting with conduction electrons (one electron per rung). We also consider the competition with…

Strongly Correlated Electrons · Physics 2015-06-18 E. Vallejo , M. Avignon

We study the spin-1/2 XX model extended with three-spin interactions of the XZX+YZY and XZY-YZX types. We solve the model exactly and obtain the ground state phase diagram as a function of the two three-spin coupling strengths. We show that…

Strongly Correlated Electrons · Physics 2023-05-17 Pradeep Thakur , P. Durganandini

Here by combining a symmetry-based analysis with numerical computations we predict a new kind of magnetic ordering - antichiral ferromagnetism. The relationship between chiral and antichiral magnetic order is conceptually similar to the…

Strongly Correlated Electrons · Physics 2021-07-21 Filipp N. Rybakov , Anastasiia Pervishko , Olle Eriksson , Egor Babaev

By introducing a chiral term into the Hamiltonian of the 3-state Potts model on a triangular lattice additional symmetries are achieved between the clockwise and anticlockwise states and the ferromagnetic state. This model is investigated…

Statistical Mechanics · Physics 2009-11-07 Z. F. Wang , B. W. Southern , D. A. Lavis

We study effects of higher-order antinematic interactions on the critical behavior of the antiferromagnetic (AFM) $XY$ model on a triangular lattice, using Monte Carlo simulations. The parameter $q$ of the generalized antinematic (ANq)…

Statistical Mechanics · Physics 2021-09-01 M. Lach , M. Žukovič

We study the effect of introducing a weak antiferromagnetic interplanar exchange coupling in the two dimensional frustrated Heisenberg model. We show that a ferromagnetic(FM) ordering of chirality - {\it i.e.}, same chirality on adjacent…

Condensed Matter · Physics 2009-10-22 D. M. Gaitonde , Dileep P. Jatkar , Sumathi Rao

We investigate the phase diagram of the anisotropic spin-1/2 triangular lattice antiferromagnet, with interchain diagonal exchange J' much weaker than the intrachain exchange J. We find that fluctuations lead to a competition between…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg A. Starykh , Leon Balents

We study frustrated spin-1/2 dimer systems in two dimensions with a bilayer structure, where spins are ferromagnetically coupled in dimers. Our model includes frustrated two-spin exchange interactions as well as four-spin interaction. We…

Strongly Correlated Electrons · Physics 2019-12-17 Toshiya Hikihara , Takahiro Misawa , Tsutomu Momoi

Chiral three-spin interactions can suppress long-range magnetic order and stabilize quantum spin liquid states in frustrated lattices. We study a spin-1/2 model on the kagome lattice involving a staggered three-spin interaction $J_\chi$ in…

Strongly Correlated Electrons · Physics 2022-09-07 Fabrizio Oliviero , João Augusto Sobral , Eric C. Andrade , Rodrigo G. Pereira

Motivated by the co-existing charge and spin order found in strongly correlated ladder systems, we study an effective pseudospin model on a coupled two-leg ladder. A bosonisation analysis yields a rich phase diagram showing Wigner/Peierls…

Strongly Correlated Electrons · Physics 2007-05-23 Siddhartha Lal , Mukul S. Laad

We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the…

Statistical Mechanics · Physics 2015-06-24 R. Moessner , Oleg Tchernyshyov , S. L. Sondhi

We show that the S=1/2 pyrochlore lattice with both Heisenberg and antisymmetric, Dzyaloshinsky-Moriya (DM) interactions, can order antiferromagnetically into a state with chiral symmetry, dictated by the distribution of the DM…

Strongly Correlated Electrons · Physics 2009-11-10 Valeri N. Kotov , Maged Elhajal , Michael E. Zhitomirsky , Frederic Mila

Based on Monte-Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assumed to decrease exponentially with the distance between…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. Y. Vedmedenko , U. Grimm , R. Wiesendanger

We present a new scenario for the breakdown of ferromagnetic order in a two-dimensional quantum magnet with competing ferromagnetic and antiferromagnetic interactions. In this, dynamical effects lead to the formation of two-magnon bound…

Strongly Correlated Electrons · Physics 2009-11-11 Nic Shannon , Tsutomu Momoi , Philippe Sindzingre

Effect of biquadratic exchange on phase transitions of a planar classical Heisenberg (or XY) ferromagnet on a stacked triangular lattice is investigated by Standard Monte Carlo and Histogram Monte Carlo simulations in the region of a…

Statistical Mechanics · Physics 2013-01-09 M. Žukovič , T. Idogaki , K. Takeda

Phase diagram of an Ising-spin Kondo lattice model on a triangular lattice near 1/3-filling is investigated by Monte Carlo simulation. We identify a partially disordered phase with coexistence of magnetic order and paramagnetic moments,…

Strongly Correlated Electrons · Physics 2012-10-23 Hiroaki Ishizuka , Yukitoshi Motome

In a previous paper [Phys. Rev. E 90, 022506 (2014)], we had studied thermodynamic and structural properties of a three-dimensional simple-cubic lattice model with dipolar-like interaction, truncated at nearest-neighbor separation, for…

Statistical Mechanics · Physics 2016-06-07 Hassan Chamati , Silvano Romano