Dynamics of Disordered Elastic Systems

Giamarchi, Thierry; Kolton, Alejandro B.; Rosso, Alberto

doi:10.1007/11581000_6

Cited by 15 publications

(39 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been shown that for a d-dimensional system, DWs can be treated as (d-1)-dimensional elastic manifolds that wander in the landscape of random disorder potential. [5][6][7] The static roughness of the DWs can be described by scaling behavior with a characteristic roughness exponent f. 5 When subject to a small driving force f, the propagation of the DWs follows the nonlinear creep behavior with the velocity given by / exp½À D k B T ð f c f Þ l , where D is a scaling energy constant and f c is the critical depinning force. 5 The DW roughness exponent f and creep exponent l can reveal information on the dimensionality and dominating disorder of the system.…”

mentioning

confidence: 99%

“…[5][6][7] The static roughness of the DWs can be described by scaling behavior with a characteristic roughness exponent f. 5 When subject to a small driving force f, the propagation of the DWs follows the nonlinear creep behavior with the velocity given by / exp½À D k B T ð f c f Þ l , where D is a scaling energy constant and f c is the critical depinning force. 5 The DW roughness exponent f and creep exponent l can reveal information on the dimensionality and dominating disorder of the system. [5][6][7] In previous studies, direct imaging of DWs using optical or scanning probe approaches have been intensively investigated in magnetic systems [8][9][10] and ferroelectric and multiferroic oxides.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Domain wall roughness and creep in nanoscale crystalline ferroelectric polymers

et al. 2013

View full text Add to dashboard Cite

show abstract

mentioning

confidence: 99%

mentioning

confidence: 99%

Domain wall roughness and creep in nanoscale crystalline ferroelectric polymers

et al. 2013

View full text Add to dashboard Cite

show abstract

“…Despite the similarities in the theoretical modeling, periodic systems show some important differences compared to interfaces, in particular, for weak disorder quasi-long-range positional order exists [18][19][20], at variance with the power-law roughening of interfaces. In most of the analyses on such systems the effect of temperature has been mostly disregarded since they are controlled by a zero temperature fixed point and thus low temperatures are not essentially affecting the asymptotic behavior of the correlation functions with distance.…”

Section: Introductionmentioning

confidence: 99%

Finite-temperature crossovers in periodic disordered systems

Foini¹,

Giamarchi²

2015

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

We consider the static properties of periodic structures in weak random disorder. We apply a functional renormalization group approach (FRG) and a Gaussian variational method (GVM) to study their displacement correlations. We focus in particular on the effects of temperature and we compute explicitly the crossover length scales separating different regimes in the displacement correlation function. We compare the FRG and GVM results and find excellent agreement. We show that the FRG predicts, in addition, the existence of a third length scale associated with the screening of the disorder by thermal fluctuations and discuss a protocol to observe it.

show abstract

“…[6]. Ferroelectric domain walls provide a useful model system in which many aspects of such glassy behavior can be readily accessed [7]. Previous studies of roughening, nonlinear dynamics, and aging have focused primarily on individual domain walls in uniaxial materials [8].…”

mentioning

confidence: 99%

“…The rich static and dynamic physics of pinned elastic interfaces can be understood in terms of the competition between the flattening effects of elasticity and fluctuations in the potential energy landscape, and describes phenomena as diverse as contact lines [1], imbibition fronts [2], vortices in type II superconductors [3], fracture propagation [4], magnetic domain walls [5], and surface growth [6]. Ferroelectric domain walls provide a useful model system in which many aspects of such glassy behavior can be readily accessed [7]. Previous studies of roughening, nonlinear dynamics, and aging have focused primarily on individual domain walls in uniaxial materials [8].…”

mentioning

confidence: 99%

Domain Wall Roughness in Stripe PhaseBiFeO3Thin Films

et al. 2013

Self Cite

View full text Add to dashboard Cite

Using the model system of ferroelectric domain walls, we explore the effects of long-range dipolar interactions and periodic ordering on the behavior of pinned elastic interfaces. In piezoresponse force microscopy studies of the characteristic roughening of intrinsic 71 • stripe domains in BiFeO3 thin films, we find unexpectedly high values of the roughness exponent ζ = 0.74 ± 0.10, significantly different from those obtained for artificially written domain walls in this and other ferroelectric materials. The large value of the exponent suggests that a random field-dominated pinning, combined with stronger disorder and strain effects due to the step-bunching morphology of the samples, could be the dominant source of pinning in the system. [6]. Ferroelectric domain walls provide a useful model system in which many aspects of such glassy behavior can be readily accessed [7]. Previous studies of roughening, nonlinear dynamics, and aging have focused primarily on individual domain walls in uniaxial materials [8]. However, a particularly interesting experimental and theoretical challenge is posed by systems where coupled ferroic orders (such as ferroelectricity and ferroelasticity, or ferroelectricity and (anti)ferromagnetism [9]), as well as long-range interactions could lead to morecomplex behavior.Room-temperature multiferroic BiFeO 3 is an excellent candidate for investigating such phenomena. In this perovskite, polarization orientation along the eight pseudocubic [111] axes gives rise to three domain wall types (180 • , purely ferroelectric, and 71 • , 109 • , also ferroelastic), with magnetoelectric coupling between the ferroelectric and antiferromagnetic orders [10]. In addition, unusual domain wall functionalities [11,12] hold promise for future nanoelectronic applications [13,14]. BiFeO 3 films with specific polarization orientations, and domain structures ranging from nanoscale, sometimes fractallike "bubbles" to well-defined stripes can be obtained by adapting the deposition conditions and substrate [15][16][17]. Artificial domains can also be written by a biased scanning probe microscopy (SPM) tip, although this procedure can introduce significant electrochemical changes [18]. Intrinsic stripe domains follow standard LandauLifshitz-Kittel scaling of domain period w ∼ h 1/2 with the sample thickness h [19], while in samples with fractal bubble domains, a modified 0.59 exponent and apparent one-dimensional roughening of artificial domains were observed [20].Previous studies considered the domain walls as individual interfaces weakly pinned by disorder, with monoaffine roughness scaling characterized by a singlevalued roughness exponent ζ, dependent only on the disorder universality class and the system dimensionality. However, the heterogeneous disorder of ferroelectric thin films, with local universality class fluctuations and strong pinning [21], has recently been shown to lead to a breakdown of monoaffinity [22]. Moreover, in periodic systems interactions between neighboring interfaces can limit roughen...

show abstract

Dynamics of Disordered Elastic Systems

Cited by 15 publications

References 54 publications

Domain wall roughness and creep in nanoscale crystalline ferroelectric polymers

Domain wall roughness and creep in nanoscale crystalline ferroelectric polymers

Finite-temperature crossovers in periodic disordered systems

Domain Wall Roughness in Stripe PhaseBiFeO3Thin Films

Contact Info

Product

Resources

About