Search arXivSearch

arXiv · 0907.5153

Domain walls, canted states and stripe width variation in ultrathin magnetic films with perpendicular anisotropy

Abstract

Stripe width variation in ultrathin magnetic films is a well known phenomenon still not well understood. We analyze this problem considering a 2D Heisenberg model with ferromagnetic exchange interactions, dipolar interactions and perpendicular anisotropy, relevant e.g. in Fe/Cu(001) films. By extending a classic result of Yafet & Gyorgy (YG) and using Monte Carlo simulations we calculate the complete zero temperature phase diagram of the model. Through this calculation we analyze the correlation between domain walls structure and stripe width variation, as the perpendicular anisotropy changes. In particular, we found evidences that the recently detected canted state becomes the ground state of the system close to the Spin Reorientation Transition (SRT) for any value of the exchange to dipolar couplings ratio. Far away of the SRT the canted ground state is replaced by a saturated stripes state, in which in--plane magnetization components are only present inside the walls. We find that the domain wall structure strongly depends on the perpendicular anisotropy: close to SRT it is well described by YG approximation, but a strong departure is observed in the large anisotropy limit. Moreover, we show that stripe width variation is directly related to domain wall width variation with the anisotropy.

Explore related subjects

Keep this discovery

BibTeXRIS

Santiago A. Pighin, Orlando V. Billoni, Daniel A. Stariolo, Sergio A. Cannas. 2009-07-29. Domain walls, canted states and stripe width variation in ultrathin magnetic films with perpendicular anisotropy. https://arxiv.org/abs/0907.5153

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Irrationality Measure Controls Long-Wavelength Charge Fluctuations in Quasiperiodic Systems

Quasiperiodic order is characterized by irrational frequencies whose rational approximability known as irrationality measure defines distinct arithmetic classes. We establish that this arithmetic classification has direct physical consequences for long-wavelength charge fluctuations. In translation-covariant quasiperiodic systems, the infrared scaling of charge fluctuation is governed by the interplay between the irrationality exponent of irrational frequency and the large-harmonic decay of the hull charge profile: the latter determines the available charge weight, while the former controls how efficiently that weight is transferred to the infrared. Consequently, all algebraic irrational frequencies share the same arithmetic scaling, whereas exceptionally well-approximable transcendental frequencies can exhibit strongly enhanced infrared fluctuation scaling. We further prove that occupied states separated from the Fermi level by a gap stable throughout the hull contribute only an analytic infrared background, leaving the nontrivial scaling to near-Fermi states. Our results extend to general translation-covariant multi-frequency quasiperiodic systems.

cond-mat.dis-nn

Curvature-Induced Geometric Universality in Non-Hermitian Anderson Transitions

In Euclidean space, universality classes of Anderson transitions are primarily determined by symmetry and spatial dimensionality. Here, we present evidence for a geometry-controlled universality class of non-Hermitian Anderson transitions on hyperbolic-like lattices. In this setting, critical behavior is influenced by the large-scale hyperbolic geometry, characterized by negative curvature, exponential volume growth, and a non-Euclidean notion of spatial scaling. Finite-size scaling of participation ratios across several distinct \( \{p,q\} \) tilings reveals one-parameter scaling collapses with a common critical exponent \( \nu\simeq1 \) within numerical accuracy. A complementary phenomenological coarse-grained Landau-Ginzburg analysis shows how exponential correlation-volume growth suppresses critical fluctuations, offering a rationale for the observed mean-field-like scaling. Our results suggest that spatial curvature can act as an additional organizing principle for Anderson-transition universality beyond the conventional dimensionality- and symmetry-based classification.

cond-mat.dis-nn

Finite-rank multiplicative perturbations of rotationally invariant non-Hermitian random matrices

We study finite-rank multiplicative deformations of rotationally invariant non-Hermitian random matrices. More precisely, we consider models of the form $\mathbf{A}(\mathbf{I}+\mathbf{T})$, where $\mathbf{A}$ is a large rotationally invariant non-Hermitian random matrix, $\mathbf{T}$ is a finite-rank normal perturbation, and $\mathbf{I}$ denotes the identity matrix. We characterize the emergence of outlier eigenvalues, their fluctuations, and the associated eigenvector overlaps. Our results provide a multiplicative non-Hermitian counterpart to the classical Baik--Ben Arous--P\'ech\'e framework.

cond-mat.dis-nn