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Engineering long-range interacting spin systems with ultra cold atoms offers the possibility to explore exotic magnetically ordered phases in strongly-correlated scenarios. Quantum gases in optical cavities provide a versatile experimental…

We study the effect of long-range interactions in non-convex one-dimensional lattice systems in the simplified yet meaningful assumption that the relevant long-range interactions are between $M$-neighbours for some $M\ge 2$ and are convex.…

Analysis of PDEs · Mathematics 2024-05-13 Andrea Braides , Edoardo Voglino , Matteo Zanardini

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

We study the influence of atomic interactions on quantum simulations in momentum-space lattices (MSLs), where driven transitions between discrete momentum states mimic transport between sites of a synthetic lattice. Low energy atomic…

Quantum Gases · Physics 2018-01-31 Fangzhao Alex An , Eric J. Meier , Jackson Ang'ong'a , Bryce Gadway

We investigated domain growth in switching processes between the low-spin and high-spin phases in thermally induced hysteresis loops of spin-crossover (SC) solids. Elastic interactions among the molecules induce effective long-range…

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 introduce a simple lattice model with Ising spins to explain recent experimental results on spin freezing in a hollandite-type structure. We argue that geometrical frustration of the lattice in combination with nearest-neighbour…

Disordered Systems and Neural Networks · Physics 2012-12-27 Y. Crespo , A. Andreanov , N. Seriani

We examine the ordering behavior of the ferromagnetic Ising lattice model defined on a surface with a constant negative curvature. Small-sized ferromagnetic domains are observed to exist at temperatures far greater than the critical…

Statistical Mechanics · Physics 2009-07-01 Yasunori Sakaniwa , Hiroyuki Shima

A nonequilibrium system of locally interacting elements in a lattice with an absorbing order-disorder phase transition is studied under the effect of additional interacting fields. These fields are shown to produce interesting effects in…

Statistical Mechanics · Physics 2007-09-09 J. C. Gonzalez-Avella , V. M. Eguiluz , M. G. Cosenza , K. Klemm , J. L. Herrera , M. San Miguel

We consider spin systems with long-range interactions in nonadditive regime. When the non-additive scaling limit is employed, the energy and the entropy compete and the system exhibits some phase transitions. Such systems do not satisfy the…

Statistical Mechanics · Physics 2013-10-15 Takashi Mori

Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However these experiments are mostly limited to…

We investigate the effects of long-range interaction on the magnetic excitations and the competition between magnetic phases on a frustrated square lattice. Applying the spin wave theory and assisted with symmetry analysis, we obtain…

Strongly Correlated Electrons · Physics 2023-10-05 Yuting Tan , Dao-Xin Yao

We study the equilibrium properties of the nearest-neighbor Ising antiferromagnet on a triangular lattice in the presence of a staggered field conjugate to one of the degenerate ground states. Using a mapping of the ground states of the…

Statistical Mechanics · Physics 2009-10-31 Abhishek Dhar , Pinaki Chaudhuri , Chandan Dasgupta

The effect of electron-lattice interaction is studied for a strongly correlated electron system described by the two-band Hubbard model. A two-fold effect of electron-lattice interaction is taken into account: in non-diagonal terms, it…

Strongly Correlated Electrons · Physics 2011-06-06 A. O. Sboychakov , A. L. Rakhmanov , K. I. Kugel

Motivated by weak ferromagnetism (FM) in a $\tau$-type molecular conductor ($\tau$-MC), we examine its mechanism using a two-band extended Hubbard model. Applying the random phase approximation, we elucidate the uniform spin and charge…

Strongly Correlated Electrons · Physics 2020-11-24 Hirohito Aizawa

Correlated electron systems with competing interactions provide a valuable platform for examining exotic magnetic phases. Theoretical models often focus on nearest-neighbor interactions, although long-range interactions can have a…

Strongly Correlated Electrons · Physics 2025-03-28 Sudip Mandal , Sandip Halder , Kalpataru Pradhan

Alkaline-earth (AE) atoms have metastable clock states with minute-long optical lifetimes, high-spin nuclei, and SU($N$)-symmetric interactions that uniquely position them for advancing atomic clocks, quantum information processing, and…

We study critical and magnetic properties of a bilayer Ising system consisting of two triangular planes A and B, with the antiferromagnetic (AF) coupling $J_{\rm A}$ and the ferromagnetic (FM) one $J_{\rm B}$ for the respective layers,…

Statistical Mechanics · Physics 2017-09-07 Milan Žukovič , Yusuke Tomita , Y. Kamiya

Understanding how interparticle interactions govern phase behavior is central to controlling self-organization in multicomponent soft-matter systems. In particular, the role of cross-interactions between unlike components remains…

Soft Condensed Matter · Physics 2026-03-03 Umesh Dhumal

We extend Araki's well-known results on the equivalence of the KMS condition and the variational principle for equilibrium states of quantum lattice systems with short-range interactions, to a large class of models possibly containing…

Mathematical Physics · Physics 2021-03-02 J. -B. Bru , W. de Siqueira Pedra , R. S. Yamaguti Miada