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

Rojas, Onofre; Strečka, Jozef; Lyra, Marcelo L.; Souza, S. M. de

doi:10.1103/physreve.99.042117

Cited by 34 publications

(49 citation statements)

References 29 publications

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“…The -CSSH ladder, when either J or J are zero, reduces to the orthogonal dimer chain [Fig. 2 (f)], a topological model that is usually studied as a chain of interacting spins [44][45][46][47][48][49][50][51][52]. The -CSSH ladder model connects the topological phases of the orthogonal dimer chain and of the π-flux Creutz ladder in an adiabatic way, without losing the topological protection of the edge states at any point 2 .…”

Section: The Cssh Ladder Modelsmentioning

confidence: 99%

Tunable zero modes and quantum interferences in flat-band topological insulators

Zurita

Creffield

Platero

2021

Quantum

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We investigate the interplay between Aharonov-Bohm (AB) caging and topological protection in a family of quasi-one-dimensional topological insulators, which we term CSSH ladders. Hybrids of the Creutz ladder and the SSH chain, they present a regime with completely flat bands, and a rich topological phase diagram, with several kinds of protected zero modes. These are reminiscent of the Creutz ladder edge states in some cases, and of the SSH chain edge states in others. Furthermore, their high degree of tunability, and the fact that they remain topologically protected even in small systems in the rungless case, due to AB caging, make them suitable for quantum information purposes. One of the ladders can belong to the BDI, AIII and D symmetry classes depending on its parameters, the latter being unusual in a non-superconducting model. Two of the models can also harbor topological end modes which do not follow the usual bulk-boundary correspondence, and are instead related to a Chern number. Finally, we propose some experimental setups to implement the CSSH ladders with current technology, focusing on the photonic lattice case.

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Section: The Cssh Ladder Modelsmentioning

confidence: 99%

Tunable zero modes and quantum interferences in flat-band topological insulators

Zurita

Creffield

Platero

2021

Quantum

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“…The general method for considering this issue was developed in Ref. [29]. For the one-dimensional Potts model, it is possible to find an explicit form of approximation of the free energy and other thermodynamic quantities near T p .…”

Section: B Entropy and Specific Heatmentioning

confidence: 99%

“…Using equations (24)(25)(26)(27)(28)(29) and leaving only the leading terms, we find an approximation for m 1 in the following form:…”

Section: Magnetization and Magnetic Susceptibilitymentioning

confidence: 99%

“…A bit different proposal to identify the pseudo-transition in onedimensional models [28] was explored in the framework of the phase boundary residual entropy relationship with the finite temperature pseudo-transition. Further investigation around the pseudo-transition was also focused on the universality and pseudo-critical exponents of onedimensional models [29].…”

Section: Introductionmentioning

confidence: 99%

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Unconventional low temperature features in the one-dimensional frustrated $q$-state Potts model

Panov,

Rojas

2021

Preprint

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Here we consider a one-dimensional q-state Potts model with an external magnetic field and an anisotropic interaction that selects neighboring sites that are in the spin state 1. The present model exhibits an unusual behavior in the low-temperature region, where we observe an anomalous vigorous change in the entropy for a given temperature. There is a steep behavior at a given temperature in entropy as a function of temperature, quite similar to first-order discontinuity, but there is no jump in the entropy. Similarly, second derivative quantities like specific heat and magnetic susceptibility also exhibit a strong acute peak rather similar to second-order phase transition divergence, but once again there is no singularity at this point. Correlation length also confirms this anomalous behavior at the same given temperature, showing a strong and sharp peak which easily one may confuse with a divergence. The temperature where occurs this anomalous feature we call pseudo-critical temperature. We have analyzed physical quantities, like correlation length, entropy, magnetization, specific heat, magnetic susceptibility, and distant pair correlation functions. Furthermore, we analyze the pseudo-critical exponent that satisfy a class of universality previously identified in the literature for other one-dimensional models, these pseudo-critical exponents are: for correlation length ν = 1, specific heat α = 3 and magnetic susceptibility µ = 3.

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“…Lately, different versions of the Ising-Heisenberg diamond chains have provided a useful playground full of intriguing features and unexpected findings such as the existence of intermediate magnetization plateaus [24][25][26], Lyapunov exponent and superstability [27], the non-conserved magnetization and "fire-and-ice" ground states [28], the enhanced magnetocaloric effect [29], the pseudo-critical behavior mimicking a temperature-driven phase transition [30][31][32][33] or the pseudo-universality [34]. Most importantly, Derzhko and co-workers [35] convincingly evidenced that the exact solution for the Ising-Heisenberg diamond chain may be used as a useful starting point for the perturbative treatment of the full Heisenberg counterpart model.…”

Section: Introductionmentioning

confidence: 99%

Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point

Ferreira¹,

Torrico²,

Souza³

et al. 2020

Condens. Matter Phys.

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We study magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain, whose elementary unit cell consists of two decorating Heisenberg spins and one nodal Ising spin. It is assumed that each couple of the decorating atoms including the Heisenberg spins harmonically vibrates perpendicularly to the chain axis, while the nodal atoms involving the Ising spins are placed at rigid positions when ignoring their lattice vibrations. An effect of the magnetoelastic coupling on a ground state and finite-temperature properties is particularly investigated close to a triple coexistence point depending on a spring-stiffness constant ascribed to the Heisenberg interaction. The magnetoelastic nature of the Heisenberg dimers is reflected through a non-null plateau of the entropy emergent in a low-temperature region, whereas the specific heat displays an anomalous peak slightly below the temperature region corresponding to the entropy plateau. The magnetization also exhibits a plateau in the same temperature region at almost saturated value before it gradually tends to zero upon increasing of temperature. The magnetic susceptibility displays within the plateau region an inverse temperature dependence, which slightly drops above this plateau, whereas an inverse temperature dependence is repeatedly recovered at high enough temperatures.

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

Cited by 34 publications

References 29 publications

Tunable zero modes and quantum interferences in flat-band topological insulators

Tunable zero modes and quantum interferences in flat-band topological insulators

Unconventional low temperature features in the one-dimensional frustrated $q$-state Potts model

Magnetoelastic properties of a spin-1/2 Ising-Heisenberg diamond chain in vicinity of a triple coexistence point

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