Generalized algebraic transformations and exactly solvable classical-quantum models

Abstract

The rigorous approach aimed at providing exact analytical results for hybrid classical-quantum models is elaborated on the grounds of generalized algebraic mapping transformations. This conceptually simple method allows one to obtain novel interesting exact results for the hybrid classical-quantum models, which may for instance describe interacting many-particle systems composed of the classical Ising spins and quantum Heisenberg spins, the localized Ising spins and delocalized electrons, or many other hybrid systems of a mixed classical-quantum nature.

16 pages, 3 figures

References in corpus (10)

• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Thermodynamic properties of a tetramer ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg bond alternating chain as a model system for Cu(3-Clpy)${}_2$(N${}_3$)${}_2$
• Exactly solvable Ising--Heisenberg chain with triangular XXZ-Heisenberg plaquettes
• Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• XXZ and Ising Spins on the Triangular Kagome Lattice
• Magnetic properties of a mixed spin-1/2 and spin-3/2 Ising model with an uniaxial and biaxial crystal-field potential
• Spontaneous order in the highly frustrated spin-1/2 Ising-Heisenberg model on the triangulated Kagome lattice due to the Dzyaloshinskii-Moriya anisotropy
• Two dimensional XXZ-Ising model on square-hexagon lattice
• Multiple frustration-induced plateaus in a magnetization process of the mixed spin-1/2 and spin-3/2 Ising-Heisenberg diamond chain

Cited by in corpus (64)

• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Pairwise thermal entanglement in Ising-XYZ diamond chain structure in an external magnetic field
• Vigorous thermal excitations in a double-tetrahedral chain of localized Ising spins and mobile electrons mimic a temperature-driven first-order phase transition
• Dysprosium-based experimental representatives of an Ising-Heisenberg chain and a decorated Ising ring
• Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures
• Direct algebraic mapping transformation for decorated spin models
• Magnetic and magnetocaloric properties of the exactly solvable mixed-spin Ising model on a decorated triangular lattice in a magnetic field
• Zero temperature non-plateau magnetization and magnetocaloric effect in an Ising-XYZ diamond chain structure
• Correlation functions for a spin-$\frac{1}{2}$ Ising-XYZ diamond chain: Further evidence for quasi-phases and pseudo-transitions
• Frustrated Ising model on the Cairo pentagonal lattice
• Reentrant phase transitions and multicompensation points in the mixed-spin Ising ferrimagnet on a decorated Bethe lattice
• Entangled state teleportation through a couple of quantum channels composed of XXZ dimers in an Ising-XXZ diamond chain
• Correlation functions in one-dimensional spin lattices with Ising and Heisenberg bonds
• Exact results for a generalized spin-1/2 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
• Low-temperature thermodynamics of the two-leg ladder Ising model with trimer rungs: A mystery explained
• Geometrical frustration of an extended Hubbard diamond chain in the quasi-atomic limit
• Spinless fermion model on diamond chain
• Thermal entanglement in an orthogonal dimer-plaquette chain with alternating Ising-Heisenberg coupling
• Fractional magnetization plateaux of the spin-1/2 Heisenberg orthogonal-dimer chain revisited: strong-coupling approach developed from the exactly solved Ising-Heisenberg model
• Magnetic Gruneisen parameter and magnetocaloric properties of a coupled spin-electron double-tetrahedral chain
• Absence of a spontaneous long-range order in a mixed spin-(1/2, 3/2) Ising model on a decorated square lattice due to anomalous spin frustration driven by a magnetoelastic coupling
• Unconventional quantum ordered and disordered states in the highly frustrated spin-1/2 Ising-Heisenberg model on triangles-in-triangles lattices
• Ground-state phase diagram and magnetization process of the exactly solved mixed spin-(1,1/2) Ising diamond chain
• Is order-by-disorder present or absent in a highly frustrated region of the spin-1/2 Ising-Heisenberg model on triangulated Husimi lattices?
• Quantum phase transitions in the exactly solved spin-1/2 Heisenberg-Ising ladder
• Ground-state and magnetocaloric properties of a coupled spin-electron double-tetrahedral chain (exact study at the half filling)
• Exactly solved mixed spin-(1,1/2) Ising-Heisenberg distorted diamond chain
• Transforming Generalized Ising Model into Boltzmann Machine
• Modified strong-coupling treatment of a spin-1/2 Heisenberg trimerized chain developed from the exactly solved Ising-Heisenberg diamond chain
• Frustration phenomenon in the spin-1/2 Ising-Heisenberg planar model of inter-connected trigonal bipyramid structures
• Effective low-energy description of almost Ising-Heisenberg diamond chain
• Unusual field-induced transitions in exactly solved mixed spin-(1/2,1) Ising chain with axial and rhombic zero-field splitting parameters
• Thermal first-order phase transitions, Ising critical points, and reentrance in the Ising-Heisenberg model on the diamond-decorated square lattice in a magnetic field
• Enhanced magnetoelectric effect of exactly solved spin-electron model on a doubly decorated square lattice in vicinity of a continuous phase transition
• Geometrically frustrated Cairo pentagonal lattice stripe with Ising and Heisenberg exchange interactions
• Geometrically frustrated Ising-Heisenberg spin model on expanded Kagomé lattice
• Anomalous spin frustration enforced by a magnetoelastic coupling in the mixed-spin Ising model on decorated planar lattices
• On maximum-likelihood decoding with circuit-level errors
• Order-from-disorder effect in the exactly solved mixed spin-(1/2, 1) Ising model on fully frustrated triangles-in-triangles lattices
• Reentrant phenomenon and inverse magnetocaloric effect in a generalized spin-(1/2,s) Fisher's super-exchange antiferromagnet
• Spin-phonon coupling induced frustration in the exactly solved spin-1/2 Ising model on a decorated planar lattice
• Rise of pairwise thermal entanglement for an alternating Ising and Heisenberg spin chain in an arbitrarily oriented magnetic field
• Insights into nature of a magnetization plateau of 3$d$-4$f$ coordination polymer [Dy${}_2$Cu${}_2$]${}_n$ from a spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising-Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids
• Conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice
• Magnetization process in the exactly solved spin-1/2 Ising-Heisenberg model on decorated Bethe lattices
• Bipartite entanglement in the spin-1/2 Ising-Heisenberg planar lattice constituted of identical trigonal bipyramidal plaquettes
• Strong- and weak-universal critical behaviour of a mixed-spin Ising model with triplet interactions on the Union Jack (centered square) lattice
• Dual thermal pseudocritical features in a spin-1/2 Ising chain with twin-diamond geometry
• Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems
• Pseudo-critical behavior of spin-1/2 Ising diamond and tetrahedral chains
• Quantum decoration transformation for spin models
• Spontaneous distortion in the spin-1/2 Ising-Heisenberg model on decorated planar lattices with a magnetoelastic coupling
• XXZ-Ising model on the triangular kagome lattice with spin-1 on the decorated trimers
• Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point
• Ground-state magnetic properties of spin ladder-shaped quantum nanomagnet: Exact diagonalization study
• Chaotic spin-spin entanglement on a recursive lattice
• Finding and classifying an infinite number of cases of the marginal phase transition in one-dimensional Ising models
• Comparative Study of a Critical Behavior of a Coupled Spin-Electron Model on a Doubly Decorated Square Lattice in the Canonical and Grand-Canonical Ensemble
• Non-chiral spin frustration versus highly degenerate ferromagnetic state with local chiral degrees of freedom of an exactly solvable spin-electron planar model of inter-connected trigonal bipyramids
• Spin-1/2 Ising-Heisenberg distorted diamond chain with antiferromagnetic Ising and ferromagnetic Heisenberg interactions
• Insights into Magnetic Properties of a Mixed Spin-Electron Model on Decorated Planar Lattices Composed of Half-filled Trigonal Bipyramids
• Emergence of quantum spin frustration in spin-1/2 Ising-Heisenberg model on a decorated honeycomb lattice