Mendoza-Coto, Stariolo, and Nicolao Reply:

Mendoza-Coto, Alejandro; Stariolo, Daniel A.; Nicolao, Lucas

doi:10.1103/physrevlett.117.239602

Cited by 12 publications

(25 citation statements)

References 9 publications

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“…The equivalence of both models at criticality can be rigorously shown by using a Hubbard-Stratonovich transformation to lift the constraint 52 . Very near the critical point, it can be shown that (r − r c )/r c ∼ (g (32). In this way, the parameter r in the linear model, controls the mean value of the vector modulus, in the same way that g 0 does in the non-linear sigma model.…”

Section: Nematic Order At Zero Temperature: Quantum Criticalitymentioning

confidence: 91%

“…Under such conditions some orientational phase transition is expected at intermediate values of T and ρ. This picture may change (and indeed changes) under the effects of topological excitations 32 . The previous qualitative picture changes at zero temperature, since in this case it is possible to have long-range positional order.…”

Section: A Stripe Fluctuations and Meltingmentioning

confidence: 99%

“…The simplest model to describe the effect of competing interactions at different scales in two spatial dimensions can be cast in the following coarse-grained Hamiltonian 32 :…”

Section: Quantum Theory Of Stripe Meltingmentioning

confidence: 99%

“…Nevertheless, for tilting angle Θ = 0, i.e. when all dipoles are oriented perpendicular to the xy plane, the system recovers rotation invariance on the plane, and then long range stripe order is forbidden at finite T 16,[31][32][33][34] . While longe range positional order is forbidden, orientational order of stripes survives to dislocations proliferation, leading to a nematic-like phase 30 .…”

Section: Introductionmentioning

confidence: 99%

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Quantum and thermal melting of stripe forming systems with competing long-range interactions

2017

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We study the quantum melting of stripe phases in models with competing short range and long range interactions decaying with distance as 1/r σ in two space dimensions. At zero temperature we find a two step disordering of the stripe phases with the growth of quantum fluctuations. A quantum critical point separating a phase with long range positional order from a phase with long range orientational order is found when σ ≤ 4/3, which includes the Coulomb interaction case σ = 1. For σ > 4/3 the transition is first order, which includes the dipolar case σ = 3. Another quantum critical point separates the orientationally ordered (nematic) phase from a quantum disordered phase for any value of σ. Critical exponents as a function of σ are computed at one loop order in an expansion and, whenever available, compared with known results. For finite temperatures it is found that for σ ≥ 2 orientational order decays algebraically with distance until a critical Kosterlitz-Thouless line. Nevertheless, for σ < 2 it is found that long range orientational order can exist at finite temperatures until a critical line which terminates at the quantum critical point at T = 0. The temperature dependence of the critical line near the quantum critical point is determined as a function of σ.

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Section: Nematic Order At Zero Temperature: Quantum Criticalitymentioning

confidence: 91%

Section: A Stripe Fluctuations and Meltingmentioning

confidence: 99%

“…The simplest model to describe the effect of competing interactions at different scales in two spatial dimensions can be cast in the following coarse-grained Hamiltonian 32 :…”

Section: Quantum Theory Of Stripe Meltingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum and thermal melting of stripe forming systems with competing long-range interactions

2017

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“…The existence of an ISB transition in such systems had been predicted in the pioneer work of Abanov et al [4], using a phenomenological approach. Subsequent theoretical work analyzed the existence of ISB from a scaling hypothesis [5,6]. Reentrant behavior was shown on a coarse-grained model of the Landau-Ginzburg type [7], although no attempt was made to explain the nature of the reentrance, mainly due to limitations in the very definition of the model, which was not able to capture the low temperature sector of the phase diagram.…”

Section: Introductionmentioning

confidence: 99%

Modulated systems in external fields: Conditions for the presence of reentrant phase diagrams

et al. 2016

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We introduce a new coarse grain model capable of describing the phase behavior of two dimensional ferromagnetic systems with competing exchange and dipolar interactions, as well as an external magnetic field. An improved expression for the mean field entropic contribution allows to compute the phase diagram in the whole temperature versus external field plane. We find that the topology of the phase diagram may be qualitatively different depending on the ratio between the strength of the competing interactions. In the regime relevant for ultrathin ferromagnetic films with perpendicular anisotropy we confirm the presence of inverse symmetry breaking from a modulated phase to a homogenous one as the temperature is lowered at constant magnetic field, as reported in experiments.For other values of the competing interactions we show that reentrance may be absent. Comparing thermodynamic quantities in both cases, as well as the evolution of magnetization profiles in the modulated phases, we conclude that the reentrant behavior is a consequence of the suppression of domain wall degrees of freedom at low temperatures at constant fields.

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Recent Advances in the Theory and Simulation of Model Colloidal Microphase Formers

Zhuang

Charbonneau

2016

J. Phys. Chem. B

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This mini-review synthesizes our understanding of the equilibrium behavior of particle-based models with short-range attractive and long-range repulsive (SALR) interactions. These models, which can form stable periodic microphases, aim to reproduce the essence of colloidal suspensions with competing interparticle interactions. Ordered structures, however, have yet to be obtained in experiments. In order to better understand the hurdles to periodic microphase assembly, marked theoretical and simulation advances have been made over the past few years. Here, we present recent progress in the study of microphases in models with SALR interactions using liquid-state theory and density-functional theory as well as numerical simulations. Combining these various approaches provides a description of periodic microphases, and gives insights into the rich phenomenology of the surrounding disordered regime. Ongoing research directions in the thermodynamics of models with SALR interactions are also presented.

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Mendoza-Coto, Stariolo, and Nicolao Reply:

Cited by 12 publications

References 9 publications

Quantum and thermal melting of stripe forming systems with competing long-range interactions

Quantum and thermal melting of stripe forming systems with competing long-range interactions

Modulated systems in external fields: Conditions for the presence of reentrant phase diagrams

Recent Advances in the Theory and Simulation of Model Colloidal Microphase Formers

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