Ground state of a quantum mixed spin-––1–1 chain with uniaxial single-ion-type anisotropy

The ground-state properties of the spin-(1/2, 1) mixed-spin XXZ chain with single-ion anisotropy (D) are investigated by the infinite time-evolving block decimation (iTEBD) method. A ground-state phase diagram including three phases, i.e., a fully polarized phase, an XY phase and a ferrimagnetic phase, is obtained. The ferrimagnetic phase is found to extend to the regions with (Δ > 1, D > 0) and (Δ < 1, D < 0), where Δ denotes the coupling anisotropy between the localized spins. By the discontinuous behavior of bipartite entanglement, quantum phase transitions (QPTs) between the XY phase and the other two phases are verified to be of the first-order. Furthermore, two constant spontaneous magnetization values (Mz = 3/2 and 1/2) are observed in the fully polarized and the ferrimagnetic phases, respectively. In both cases of Δ → +∞ and D → -∞, the ground state tends to the Ising limit. In addition, both the long-range ferromagnetic and antiferromagnetic orders are found to coexist in the whole ferrimagnetic phase.

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New pinch-porphyrin complexes with quantum mixed spin ground state S=, of iron (III) and their catalytic activity as peroxidase

Biophysical Chemistry ◽

10.1016/s0301-4622(03)00186-8 ◽

2003 ◽

Vol 106 (3) ◽

pp. 253-265 ◽

Cited By ~ 9

Author(s):

Amparo Sánchez-Sandoval ◽

Daniel Ramı́rez-Rosales ◽

Rafael Zamorano-Ulloa ◽

Cecilio Álvarez-Toledano ◽

Mónica Moya-Cabrera ◽

...

Keyword(s):

Catalytic Activity ◽

Ground State ◽

Mixed Spin ◽

Spin Ground State

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Ground-State and Thermodynamic Properties of the Quantum Mixed Spin-1/2-1/2-1-1 Chain

Journal of the Physical Society of Japan ◽

10.1143/jpsj.67.1000 ◽

1998 ◽

Vol 67 (3) ◽

pp. 1000-1013 ◽

Cited By ~ 26

Author(s):

Takashi Tonegawa ◽

Toshiya Hikihara ◽

Makoto Kaburagi ◽

Tomotoshi Nishino ◽

Seiji Miyashita ◽

...

Keyword(s):

Thermodynamic Properties ◽

Ground State ◽

Mixed Spin

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Exact ground-state phase diagrams of mixed-spin ANNNI model

Physica B Condensed Matter ◽

10.1016/s0921-4526(99)02791-x ◽

2000 ◽

Vol 284-288 ◽

pp. 1553-1554 ◽

Cited By ~ 1

Author(s):

Y Muraoka ◽

K Oda ◽

T Idogaki

Keyword(s):

Phase Diagrams ◽

Ground State ◽

Annni Model ◽

Mixed Spin ◽

Exact Ground State

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EXACT RESULTS OF THE MIXED-SPIN ISING MODEL ON A DECORATED SQUARE LATTICE WITH TWO DIFFERENT DECORATING SPINS OF INTEGER MAGNITUDES

International Journal of Modern Physics B ◽

10.1142/s0217979208039526 ◽

2008 ◽

Vol 22 (15) ◽

pp. 2355-2372 ◽

Cited By ~ 9

Author(s):

LUCIA ČANOVÁ ◽

JOZEF STREČKA ◽

MICHAL JAŠČUR

Keyword(s):

Ising Model ◽

Spin System ◽

Critical Behavior ◽

Ground State ◽

Analytical Approach ◽

Spontaneous Order ◽

Square Lattice ◽

Exact Results ◽

Numerical Result ◽

Mixed Spin

The mixed-spin Ising model on a decorated square lattice with two different decorating spins of integer magnitudes S B = 1 and S C = 2 placed on horizontal and vertical bonds of the lattice, respectively, is examined within an exact analytical approach based on the generalized decoration–iteration mapping transformation. Besides the ground-state analysis, finite-temperature properties of the system are investigated in detail. The most interesting numerical result to emerge from our study relates to a striking critical behavior of the spontaneously ordered "quasi-1D" spin system. It was found that this quite remarkable spontaneous order arises when one sublattice of the decorating spins (either S B or S C ) tends toward their "nonmagnetic" spin state S = 0, and the system becomes disordered only upon further single-ion anisotropy strengthening. In particular, the effect of single-ion anisotropy upon the temperature dependence of the total and sublattice magnetization is investigated.

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Ground State, Magnetization Process and Bipartite Quantum Entanglement of a Spin-1/2 Ising–Heisenberg Model on Planar Lattices of Interconnected Trigonal Bipyramids

Entropy ◽

10.3390/e23121671 ◽

2021 ◽

Vol 23 (12) ◽

pp. 1671

Author(s):

Lucia Gálisová ◽

Michał Kaczor

Keyword(s):

Quantum Entanglement ◽

Ground State ◽

Heisenberg Model ◽

Degrees Of Freedom ◽

Heisenberg Spin ◽

Mixed Spin ◽

Field Independent ◽

Spin Arrangement ◽

State Spin ◽

Planar Lattices

The ground state, magnetization scenario and the local bipartite quantum entanglement of a mixed spin-1/2 Ising–Heisenberg model in a magnetic field on planar lattices formed by identical corner-sharing bipyramidal plaquettes is examined by combining the exact analytical concept of generalized decoration-iteration mapping transformations with Monte Carlo simulations utilizing the Metropolis algorithm. The ground-state phase diagram of the model involves six different phases, namely, the standard ferrimagnetic phase, fully saturated phase, two unique quantum ferrimagnetic phases, and two macroscopically degenerate quantum ferrimagnetic phases with two chiral degrees of freedom of the Heisenberg triangular clusters. The diversity of ground-state spin arrangement is manifested themselves in seven different magnetization scenarios with one, two or three fractional plateaus whose values are determined by the number of corner-sharing plaquettes. The low-temperature values of the concurrence demonstrate that the bipartite quantum entanglement of the Heisenberg spins in quantum ferrimagnetic phases is field independent, but twice as strong if the Heisenberg spin arrangement is unique as it is two-fold degenerate.

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