Corrigendum to “Generalized transformation for decorated spin models” [Physica A 388 (2009) 1419–1430]

Rojas, Onofre; Valverde, J. S.; Souza, S. M. de

doi:10.1016/j.physa.2009.04.034

Cited by 38 publications

(89 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is firmly established that several one-dimensional models, which can be viewed as the Ising chain decorated by arbitrary but finite lattice-statistical system (see Fig. 1 for a schematic representation), are exactly tractable by taking advantage of a generalized decoration-iteration transformation [24][25][26][27][28][29]. The decoration-iteration transformation furnishes a rigorous mapping correspondence between the decorated one-dimensional models and the effective Ising chain.…”

Section: Quasicritical Exponentsmentioning

confidence: 99%

Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures

et al. 2019

Self Cite

View full text Add to dashboard Cite

Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and magnetic susceptibility, which are reminiscent of divergences accompanying a continuous (second-order) phase transition. The question whether these robust finite peaks follow some power law around the quasicritical temperature is addressed. Although there is no actual divergence of these quantities at a quasicritical temperature, a power-law behavior fits precisely both ascending as well as descending part of the peaks in the vicinity but not too close to a quasicritical temperature. The specific values of the quasicritical exponents are rigorously calculated for a class of one-dimensional models (e.g. Ising-XYZ diamond chain, coupled spin-electron double-tetrahedral chain, Ising-XXZ two-leg ladder, and Ising-XXZ three-leg tube), whereas the same set of quasicritical exponents implies a certain "universality" of quasitransitions of one-dimensional models. Specifically, the values of the quasicritical exponents for one-dimensional models are: α = α ′ = 3 for the specific heat, γ = γ ′ = 3 for the susceptibility and ν = ν ′ = 1 for the correlation length.

show abstract

Section: Quasicritical Exponentsmentioning

confidence: 99%

Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…(1) allows to control the number of mobile electrons by their chemical potential µ. Due to the local character of all assumed interactions, the generalized decoration-iteration transformation [28,29,51] can be used to obtain an exact expression for the grandcanonical partition function Ξ factorized into a product of the partial bond partition functions Ξ k…”

Section: Model and Methodsmentioning

confidence: 99%

Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice

Čenčariková

Strečka

Gendiar

2020

Physica E: Low-dimensional Systems and Nanostructures

View full text Add to dashboard Cite

The combination of an exact and Corner Transfer Matrix Renormalization Group (CTMRG) methods is used to study an influence of external electric and magnetic fields on existence of intriguing reentrant magnetic transitions in a coupled spin-electron model on a decorated square lattice. The two-dimensional (2D) decorated square lattice with localized nodal spins and delocalized electrons is taken into account. It was found that the competition among all involved interactions (the electron hopping, spin-spin and spin-electron interaction, external electric and magnetic fields) in combination with thermal fluctuations can produce new type of reentrant magnetic transitions. Depending on the model parameters the non-zero fields can stabilize or destabilize magnetic reentrance. In addition, an alternative and more effective way, for modulating the magnetic reentrance is found. An origin of intriguing low-temperature round maximum in the specific heat was explained as a consequence of rapid changes in the sublattice magnetizations, which is induced through a competition of all presented interactions.

show abstract

“…Since it is just a function of the b-spins, it is available to transform the hexamer into an effective trimer, in which only contains the b-spins (see Fig.3). According to the general transformation method for the decorated spin systems [19,20], the Hamiltonian of the effective trimer can be assumed as…”

Section: Model and Methodsmentioning

confidence: 99%

“…As a result, the effective couplings can be expressed by the partition functions of each hexamer. To give their formulas, it is more convenient to take the logarithm of both sides of Eq.8 [19],…”

Section: Model and Methodsmentioning

confidence: 99%

See 1 more Smart Citation

XXZ -Ising model on the triangular kagome lattice with spin 1 on the decorated trimers

et al. 2018

View full text Add to dashboard Cite

We consider the triangular kagome XXZ-Ising model (TKL XXZ-Ising model) formed by inserting small triangles ("a-trimers") with XXZ spin-1 inside the triangles of the kagome lattice ("b-trimers"). It is a mixed spin system and can be solved exactly by transforming into the kagome lattice with the general transformation method for decorated spin systems. In the absence of an external field, we integrate out the quantum spins of the a-trimers and map the TKL model to the kagome Ising model exactly. We obtain the full phase diagram and their zero-temperature entropies (e.g., s_{max}=5.48895 per unit cell is given for the phase with the maximum entropy). When an external field is applied, 20 phases are found due to the quantum fluctuations of a-trimers. Moreover, the high spins in the a-trimers can lead to a stable quantized growth of the magnetization process in the Heisenberg limit.

show abstract

Corrigendum to “Generalized transformation for decorated spin models” [Physica A 388 (2009) 1419–1430]

Cited by 38 publications

References 0 publications

Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures

Universality and quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures

Influence of applied electric and magnetic fields on a thermally-induced reentrance of a coupled spin-electron model on a decorated square lattice

XXZ -Ising model on the triangular kagome lattice with spin 1 on the decorated trimers

Contact Info

Product

Resources

About