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The classical Monte Carlo method is used to study the properties of the ground state and phase transitions of the spin-pseudospin model, which describes a two-dimensional Ising magnet with competing charge and spin interactions. This…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , Yu. D. Panov

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han

In the R$\_{3}$Ga$\_{5}$SiO$\_{14}$ compounds, the network R of rare earth cations form well separated planes of corner sharing triangles topologically equivalent to a kagom\'e lattice. Powder samples and single crystals with R = Nd and Pr…

Strongly Correlated Electrons · Physics 2007-05-23 P. Bordet , I. Gelard , K. Marty , A. Ibanez , J. Robert , V. Simonet , B. Canals , R. Ballou , P. Lejay

We have performed a detailed investigation of the new `breathing' pyrochlore compound LiInCr$_4$O$_8$ through Rh substitution with measurements of magnetic susceptibility, specific heat, and x-ray powder diffraction. The antiferromagnetic…

Strongly Correlated Electrons · Physics 2017-02-09 Dong-yi Wang , Cheng Tan , Kevin Huang , Lei Shu

Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral…

Strongly Correlated Electrons · Physics 2025-06-03 A. S. Gubina , T. Ziman , M. E. Zhitomirsky

High degeneracy in ground states leads to the generation of exotic zero-energy modes, a representative example of which is the formation of molecular spin liquid-like fluctuations in a frustrated magnet. Here we present single-crystal…

Strongly Correlated Electrons · Physics 2014-07-17 K. Tomiyasu , T. Yokobori , Y. Kousaka , R. I. Bewley , T. Guidi , T. Watanabe , J. Akimitsu , K. Yamada

New effects in the frustrated transverse Ising ring are predicted. The system is solved based on a mapping of Pauli spin operators to the Jordan-Wigner fermions. We group the low-lying energy levels into bands after imposing appropriate…

Statistical Mechanics · Physics 2016-01-12 Jian-Jun Dong , Peng Li , Qi-Hui Chen

The third law of thermodynamics dictates that the entropy of a system in thermal equilibrium goes to zero as its temperature approaches absolute zero. In ice, however, a "zero point" or residual entropy can be measured - attributable to a…

Strongly Correlated Electrons · Physics 2015-06-25 G. C. Lau , R. S. Freitas , B. G. Ueland , B. D. Muegge , E. L. Duncan , P. Schiffer , R. J. Cava

The emergence of complex modulated structures in the magnetization pattern of thin films is a well-established experimental phenomenology caused by the frustrating effects of competing interactions. Using a coarse-grained version of the…

The antiferromagnetic Ising model in a magnetic field is considered on the Husimi tree. Using iteration technique we draw the plots of magnetization versus external field for different temperatures and construct the resulting phase diagram.…

Condensed Matter · Physics 2009-10-30 A. Z. Akheyan , N. S. Ananikian , S. K. Dallakian

A geometrically frustrated (GF) magnet consists of localised magnetic moments, spins, whose orientation cannot be arranged to simultaneously minimise their interaction energies. Such materials may host novel fascinating phases of matter,…

Strongly Correlated Electrons · Physics 2022-06-08 S. V. Syzranov , A. P. Ramirez

Frustrated magnets with degenerate ground states exhibit exotic ground states and rich phase structures when perturbations and/or thermal fluctuations lift the degeneracy. In two-dimensional models with short-range interactions, continuous…

Statistical Mechanics · Physics 2024-03-20 Fumiya Kakizawa , Takahiro Misawa , Hiroshi Shinaoka

Geometrical frustration in strongly correlated systems can give rise to a plethora of novel ordered states and intriguing magnetic phases, such as quantum spin liquids. Promising candidate materials for such phases can be described by the…

The description and detection of unconventional magnetic states such as spin liquids is a recurring topic in condensed matter physics. While much of the efforts have traditionally been directed at geometrically frustrated antiferromagnets,…

Strongly Correlated Electrons · Physics 2018-05-25 L. Bovo , M. Twengström , O. A. Petrenko , T. Fennell , M. J. P. Gingras , S. T. Bramwell , P. Henelius

Geometrically frustrated spin-chain compounds such as Ca3Co2O6 exhibit extremely slow relaxation under a changing magnetic field. Consequently, both low-temperature laboratory experiments and Monte Carlo simulations have shown peculiar…

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 the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

Strongly Correlated Electrons · Physics 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter

We study the phase diagram of a frustrated spin-1/2 ferromagnetic chain with anisotropic exchange interactions in an external magnetic field, using the density matrix renormalization group method. We show that an easy-axis anisotropy…

Strongly Correlated Electrons · Physics 2009-10-29 F. Heidrich-Meisner , I. P. McCulloch , A. K. Kolezhuk

Quantum fluctuations endow spin systems with surprisingly enriched magnetic phase diagrams. In frustrated magnets, strong quantum fluctuations boosted by either geometrical incompatibility or competitive exchange interactions stabilize…

Motivated by recent experiments on BaCuSi2O6, we investigate magnetic excitations and quantum phase transitions of layered dimer magnets with inter-layer frustration. We consider two scenarios, (A) a lattice with one dimer per unit cell and…

Strongly Correlated Electrons · Physics 2007-12-13 Oliver Rösch , Matthias Vojta