Kosterlitz-Thouless and Gaussian criticalities in a mixed spin-(
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) Heisenberg branched chain with exchange anisotropy

Veríssimo, Luan M.; Pereira, Maria S. S.; Strečka, Jozef; Lyra, Marcelo L.

doi:10.1103/physrevb.99.134408

Cited by 25 publications

(10 citation statements)

References 37 publications

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“…This behavior is presented in the inset Fig. 11(b), where the gapped side (Y > Y c ) is similar to the finite-order Gaussian transition [45,46]. In this case, on one hand, there is still a point, where the rescaled energy gaps have minimal distances, that plays the same role as the crossing point in BKT transition.…”

Section: Now We Fit the Extrapolated Energy Gap With ∆E =mentioning

confidence: 73%

“…The level crossing can be between different types of excitations for different systems. After obtaining the results from LS, we test a universal method to detect quantum phase transitions: the scaling of the energy gap between the ground state and the first excited state [42][43][44][45][46]. The truncation effects in this energy gap that contains information on the divergent behavior of the correlation length, are also important indicators for different types of phase transitions.…”

Section: Introductionmentioning

confidence: 99%

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Truncation effects in the charge representation of the O(2) model

Zhang,

Meurice,

Tsai

2021

Preprint

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The O(2) model in Euclidean space-time is the zero-gauge-coupling limit of the compact scalar quantum electrodynamics. We obtain a dual representation of it called the charge representation. We study the quantum phase transition in the charge representation with a truncation to "spin S", where the quantum numbers have an absolute value less or equal to S. The charge representation preserves the gapless-to-gapped phase transition even for the smallest spin truncation S = 1. The phase transition for S = 1 is an infinite-order Gaussian transition with the same critical exponents δ and η as the Berezinskii-Kosterlitz-Thouless (BKT) transition, while there are true BKT transitions for S ≥ 2. The essential singularity in the correlation length for S = 1 is different from that for S ≥ 2. The exponential convergence of the phase transition point is studied in both Lagrangian and Hamiltonian formulations. We discuss the effects of replacing the truncated Û ± = exp(±i θ) operators by the spin ladder operators Ŝ± in the Hamiltonian. The marginal operators vanish at the Gaussian transition point for S = 1, which allows us to extract the η exponent with high accuracy.

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Section: Now We Fit the Extrapolated Energy Gap With ∆E =mentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Truncation effects in the charge representation of the O(2) model

Zhang,

Meurice,

Tsai

2021

Preprint

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“…From a theoretical perspective low-dimensional Heisenberg spin models seem to be a reasonable theoretical ground, which allows an exact study of the quantum and thermal entanglement depending on external stimuli such as the magnetic field and/or temperature [16][17][18][19][20][21][22][23][24][25][26][27][28]. Besides the most intensively analysed spin-1/2 case, a few theoretical works were focused on the entanglement of the mixed-spin Heisenberg systems .…”

Section: Introductionmentioning

confidence: 99%

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

Vargová

Strečka

2021

Nanomaterials

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The concept of negativity is adapted in order to explore the quantum and thermal entanglement of the mixed spin-(1/2,S) Heisenberg dimers in presence of an external magnetic field. The mutual interplay between the spin size S, XXZ exchange and uniaxial single-ion anisotropy is thoroughly examined with a goal to tune the degree and thermal stability of the pairwise entanglement. It turns out that the antiferromagnetic spin-(1/2,S) Heisenberg dimers exhibit higher degree of entanglement and higher threshold temperature in comparison with their ferromagnetic counterparts when assuming the same set of model parameters. The increasing spin magnitude S accompanied with an easy-plane uniaxial single-ion anisotropy can enhance not only the thermal stability but simultaneously the degree of entanglement. It is additionally shown that the further enhancement of a bipartite entanglement can be achieved in the mixed spin-(1/2,S) Heisenberg dimers, involving half-odd-integer spins S. Under this condition the thermal negativity saturates at low-enough temperatures in its maximal value regardless of the magnitude of half-odd-integer spin S. The magnetic field induces consecutive discontinuous phase transitions in the mixed spin-(1/2,S) Heisenberg dimers with S>1, which are manifested in a surprising oscillating magnetic-field dependence of the negativity observed at low enough temperature.

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“…Quantum Heisenberg spin chains provide an intriguing platform for an investigation of quantum magnetism using fully rigorous calculation methods being completely free of any uncontrolled approximation [1]. A few exactly solved Ising-Heisenberg and Heisenberg branched spin chains have recently attracted considerable attention, because they may exhibit striking quantum critical points of Kosterlitz-Thouless and Gaussian type [2][3][4]. Moreover, the Ising-Heisenberg and Heisenberg branched spin chains are not only purely theoretical models, but they are closely related to a few real-world experimental realizations from the family of polymeric coordination compounds [5,6].…”

Section: Introductionmentioning

confidence: 99%

Influence of a spatial anisotropy on presence of the intermediate one-half magnetization plateau of a spin-1/2 Ising-Heisenberg branched chain

Strecka,

Karlova,

Ghannadan

2021

Preprint

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A spin-1/2 Ising-Heisenberg branched chain constituted by regularly alternating Ising spins and Heisenberg dimers involving an additional side branching is exactly solved in a magnetic field by the transfer-matrix method. The spin-1/2 Ising-Heisenberg branched chain involves two different Ising and one Heisenberg coupling constants. The overall ground-state phase diagram is formed by three different ground states emergent depending on a mutual interplay between the magnetic field and three considered coupling constants: the modulated quantum antiferromagnetic phase, the quantum ferrimagnetic phase, and the classical ferromagnetic phase. It is shown that the interaction anisotropy connected to two different Ising coupling constants substantially influences a breakdown of the intermediate one-half magnetization plateau, which represents a macroscopic manifestation of the quantum ferrimagnetic phase.

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Kosterlitz-Thouless and Gaussian criticalities in a mixed spin-( 12, 52, 12 ) Heisenberg branched chain with exchange anisotropy

Cited by 25 publications

References 37 publications

Truncation effects in the charge representation of the O(2) model

Truncation effects in the charge representation of the O(2) model

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

Influence of a spatial anisotropy on presence of the intermediate one-half magnetization plateau of a spin-1/2 Ising-Heisenberg branched chain

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