Polyelectrolyte Blends and Nontrivial Behavior in Effective Flory–Huggins Parameters

2014 ◽  
Vol 3 (8) ◽  
pp. 698-702 ◽  
Author(s):  
Charles E. Sing ◽  
Monica Olvera de la Cruz
Keyword(s):  
Nontrivial Behavior

scholarly journals Topology and Broken Symmetry in Floquet Systems

2020 ◽  
Vol 11 (1) ◽  
pp. 345-368 ◽  
Author(s):  
Fenner Harper ◽  
Rahul Roy ◽  
Mark S. Rudner ◽  
S.L. Sondhi
Keyword(s):  
Prima Facie ◽  
Particle Systems ◽  
Many Body ◽  
Nontrivial Behavior ◽  
Interacting Systems ◽  
State Of Affairs ◽  
Main Ideas ◽  
Nontrivial Topology ◽  
Infinite Temperature

Floquet systems are governed by periodic, time-dependent Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However, this unhappy state of affairs can be avoided in many ways. Instead, as has become clear from much recent work, Floquet systems can exhibit a variety of nontrivial behavior—some of which is impossible in undriven systems. In this review, we describe the main ideas and themes of this work: novel Floquet drives that exhibit nontrivial topology in single-particle systems, the existence and classification of exotic Floquet drives in interacting systems, and the attendant notion of many-body Floquet phases and arguments for their stability to heating.

scholarly journals Anisotropic Ferroelectric Distortion Effects on the RKKY Interaction in Topological Crystalline Insulators

2020 ◽  
Author(s):  
Hosein Cheraghchi ◽  
Mohsen Yarmohammadi
Keyword(s):  
Magnetic Properties ◽  
Symmetry Breaking ◽  
Mirror Symmetry ◽  
Magnetic Moments ◽  
Rkky Interaction ◽  
Dirac Materials ◽  
Nontrivial Behavior ◽  
Magnetic Orders ◽  
Mass Terms ◽  
Topological Crystalline Insulators

Abstract Manipulation of electronic and magnetic properties of topological materials is a topic of much interest in spintronic and valleytronic applications. Perturbation tuning of multiple Dirac cones on the (001) surface of topological crystalline insulators (TCIs) is also a related topic of growing interest. Here we show the numerical evidence for the ferroelectric structural distortion effects on the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two magnetic impurity moments on the SnTe (001) and related alloys. The mirror symmetry breaking between Dirac cones induced by the ferroelectric distortion could be divided into various possible configurations including the isotropically gapped, coexistence of gapless and gapped, and anisotropically gapped phases. Based on the retarded perturbed Green’s functions of the generalized gapped Dirac model, we numerically find the RKKY response for each phase. The distortion-induced symmetry breaking constitutes complex and interesting magnetic responses between magnetic moments compared to the pristine TCIs. In the specific case of coexisted gapless and gapped phases, a nontrivial behavior of the RKKY interaction is observed, which has not been seen in other Dirac materials up until now. For two impurities resided on the same sublattices, depending on the distortion strength, magnetic orders above of a critical impurity separation exhibit irregular ferromagnetic $ antiferromagnetic phase transitions. However, independent ofthe impurity separation and distortion strength, no phase transition emerges for two impurities resided on different sublattices. This essential study sheds light on magnetic properties of Dirac materials with anisotropic mass terms and also makes TCIs applications relatively easy to understand.

scholarly journals Energy exchange calculations in a simple mechanical system to investigate the origin of friction

2021 ◽  
Author(s):  
Maria Luján Iglesias ◽  
Mukesh Tiwari ◽  
V. M. Kenkre ◽  
Sebastian Gonçalves
Keyword(s):  
Ad Hoc ◽  
Classical Model ◽  
Free Particle ◽  
Analytic Solutions ◽  
Qualitative Description ◽  
Asymptotic State ◽  
Incoming Particle ◽  
Gaussian Potential ◽  
Theoretical Reasoning ◽  
Nontrivial Behavior

The microscopic origin of friction is an important topic in science and technology. To date, noteworthy aspects of it remain unsolved. In an effort to shed some light on the possible mechanisms that could give rise to the macroscopic emergence of friction, a very simple 1D system of two particles is considered, one of them is free but moving with an initial velocity, and the other confined by a harmonic potential. The two particles interact via a repulsive Gaussian potential. While it represents in a straightforward manner a tip substrate system in the real world, no analytic solutions can be found for its motion. Because of the interaction, the free particle (tip) may overcome the bound particle (substrate) losing part of its kinetic energy. We solve Newton’s equations of the two particles numerically and calculate the net exchange of energy in the asymptotic state in terms of the relevant parameters of the problem. The effective dissipation that emerges from this simple, classical model with no ad hoc terms shows, surprisingly, a range of rich, nontrivial, behavior. We give theoretical reasoning which provides a satisfactory qualitative description. The essential ingredient of that reasoning is that the transfer of energy from the incoming particle to the confined one can be regarded as the source of the emergent dissipation force the friction experienced by the incoming particle.

Nontrivial Behavior of Water in the Vicinity and Inside Lipid Bilayers As Probed by Molecular Dynamics Simulations

ACS Nano ◽  
2013 ◽  
Vol 7 (10) ◽  
pp. 9428-9442 ◽  
Author(s):  
Nikolay A. Krylov ◽  
Vladimir M. Pentkovsky ◽  
Roman G. Efremov
Keyword(s):  
Molecular Dynamics ◽  
Molecular Dynamics Simulations ◽  
Lipid Bilayers ◽  
Nontrivial Behavior ◽  
Dynamics Simulations

scholarly journals YANG–LEE AND FISHER ZEROS GENERALIZED ON SOME FAR-FROM-EQUILIBRIUM SYSTEMS

2009 ◽  
Vol 23 (03) ◽  
pp. 375-381
Author(s):  
K. G. SARGSYAN
Keyword(s):  
Ising Model ◽  
Partition Function ◽  
Minimal Models ◽  
Partition Function Zeros ◽  
Nontrivial Behavior ◽  
Far From Equilibrium ◽  
Fisher Zeros ◽  
Function Zeros ◽  
Simple Models

A generalization of the Yang–Lee and Fisher zeros on far-from-equilibrium systems coupled with two thermal baths is proposed. The Yang–Lee zeros were obtained for minimal models which exhibit complicated behavior in the context of the partition function zeros and provide an analitycal treatment. This type of model may be considered as a simplest one and analogous to Ising model for equilibrium. The obtained distributions of generalized Yang–Lee zeros show nontrivial behavior for these simple models.

scholarly journals Nontrivial Behavior of the Fermi Arc in the Staggered-Flux Ordered Phase

2004 ◽  
Vol 73 (7) ◽  
pp. 1631-1634
Author(s):  
Koichi Hamada ◽  
Daijiro Yoshioka
Keyword(s):  
Fermi Arc ◽  
Nontrivial Behavior

Nontrivial behavior of the piezoelectric coefficients of 0–3 composites of the modified PbTiO3 ceramics-polymer type

2004 ◽  
Vol 30 (10) ◽  
pp. 874-876 ◽  
Author(s):  
S. V. Glushanin ◽  
V. Yu. Topolov ◽  
A. V. Krivoruchko
Keyword(s):  
Nontrivial Behavior ◽  
Pbtio3 Ceramics ◽  
Polymer Type

scholarly journals Test of the unitary coupled-cluster variational quantum eigensolver for a simple strongly correlated condensed-matter system

2020 ◽  
Vol 34 (19n20) ◽  
pp. 2040049
Author(s):  
Luogen Xu ◽  
J. T. Lee ◽  
J. K. Freericks
Keyword(s):  
Condensed Matter ◽  
Quantum Circuit ◽  
Coupled Cluster ◽  
Quantum Computers ◽  
Strongly Correlated ◽  
Intermediate Scale ◽  
Condensed Matter System ◽  
Matter System ◽  
Nontrivial Behavior ◽  
Half Filling

The variational quantum eigensolver has been proposed as a low-depth quantum circuit that can be employed to examine strongly correlated systems on today’s noisy intermediate-scale quantum computers. We examine details associated with the factorized form of the unitary coupled-cluster variant of this algorithm. We apply it to a simple strongly correlated condensed-matter system with nontrivial behavior — the four-site Hubbard model at half-filling. This work show some of the subtle issues one needs to take into account when applying this algorithm in practice, especially to condensed-matter systems.

scholarly journals Phase time and transmission probability in the traversal of a PT-symmetric potential: The case of an electromagnetic waveguide

2017 ◽  
Vol 31 (29) ◽  
pp. 1750213
Author(s):  
M. Di Mauro ◽  
S. Esposito ◽  
A. Naddeo
Keyword(s):  
Transmission Probability ◽  
Electromagnetic Signal ◽  
Potential Region ◽  
Symmetric Potential ◽  
Maximum Delay ◽  
Transit Times ◽  
Delay Times ◽  
Negative Delay ◽  
Nontrivial Behavior ◽  
Gain Loss

We study the unconventional transmission properties of a wave packet through a PT-symmetric potential region as describing the actual electromagnetic wave propagation along a waveguide filled with gain and loss media. The nontrivial behavior of the transmission probability manifests in the giant amplification of the incident electromagnetic signal of given wavelengths for well-defined configurations, depending on the gain/loss contrast. Maximum transmission peaks are related to spectral singularities and a strict correlation exists between the “resonant” wavelengths and the gain/loss contrast. The transit times are as well calculated, showing their surprising vanishing in the opaque barrier limit, independently of the gain/loss contrast, which is reminiscent of some sort of Hartman effect. Also, nonlocal effects manifest in the presence of negative delay times for given configurations, while a correlation is apparent between maximum delay times and transmission probability peaks, though appreciably depending on the gain/loss contrast.

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