Multiple- States and the Skyrmion Lattice of the Triangular-Lattice Heisenberg <?format ?>Antiferromagnet under Magnetic Fields

T Okubo, S Chung, H Kawamura - Physical review letters, 2012 - APS
Ordering of the frustrated classical Heisenberg model on the triangular lattice with an
incommensurate spiral structure is studied under magnetic fields by means of a mean-field …

Potts model with invisible states: a review

M Krasnytska, P Sarkanych, B Berche… - The European Physical …, 2023 - Springer
The Potts model with invisible states was introduced to explain discrepancies between
theoretical predictions and experimental observations of phase transitions in some systems …

Quadrupolar correlations and spin freezing in triangular lattice antiferromagnets

EM Stoudenmire, S Trebst, L Balents - Physical Review B—Condensed Matter …, 2009 - APS
Motivated by experiments on NiGa 2 S 4, we discuss characteristic (finite-temperature)
properties of spin S= 1 quantum antiferromagnets on the triangular lattice. Several recent …

Novel spin-liquid states in the frustrated Heisenberg antiferromagnet on the honeycomb lattice

S Okumura, H Kawamura, T Okubo… - Journal of the Physical …, 2010 - journals.jps.jp
Recent experiment on a honeycomb-lattice Heisenberg antiferromagnet (AF) Bi 3 Mn 4 O 12
(NO 3) revealed a novel spin-liquid-like behavior down to low temperature, which was …

Novel Geometrical Frustration Effects in the Two-Dimensional Triangular-Lattice Antiferromagnet NiGa2S4 and Related Compounds

S Nakatsuji, Y Nambu, S Onoda - Journal of the Physical Society of …, 2010 - journals.jps.jp
Geometrical frustration may suppress conventional magnetic long-range order and possibly
promote a novel type of ordering associated with a higher order degree of freedom than spin …

Phase transition in Potts model with invisible states

R Tamura, S Tanaka… - Progress of theoretical …, 2010 - academic.oup.com
We study phase transition in the ferromagnetic Potts model with invisible states that are
added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible …

Arc-shaped structure factor in the classical Heisenberg model on the triangular lattice

C Glittum, OF Syljuåsen - Physical Review B, 2021 - APS
We study the J 1-J 2-J 3 classical Heisenberg model with ferromagnetic J 1 on the triangular
lattice using the nematic bond theory. For parameters where the momentum space coupling …

Spin fluctuations from hertz to terahertz on a triangular lattice

Y Nambu, JS Gardner, DE MacLaughlin, C Stock… - Physical review …, 2015 - APS
The temporal magnetic correlations of the triangular-lattice antiferromagnet NiGa 2 S 4 are
examined through 13 decades (10-13-1 sec) using ultrahigh-resolution inelastic neutron …

Entropy-induced phase transitions in a hidden Potts model

CH Kim, DS Lee, B Kahng - Physical Review E, 2024 - APS
A hidden state in which a spin does not interact with any other spin contributes to the entropy
of an interacting spin system. We explore the q-state Potts model with extra r hidden states …