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We study microstructure formation in two nonconvex singularly-perturbed variational problems from materials science, one modeling austenite-martensite interfaces in shape-memory alloys, the other one slip structures in the plastic…

Analysis of PDEs · Mathematics 2018-05-01 Sergio Conti , Barbara Zwicknagl

We conduct photoluminescence microscopy that is sensitive to both electron and nuclear spin polarization to investigate the changes that occur in the magnetic ordering in the vicinity of the first integer quantum Hall state in a GaAs 2D…

Strongly Correlated Electrons · Physics 2018-10-17 John N. Moore , Hikaru Iwata , Junichiro Hayakawa , Takaaki Mano , Takeshi Noda , Naokazu Shibata , Go Yusa

Using a self consistent approximation for the spin distribution of Skyrmions in the quantum Hall effect, we obtain an effective action for the Skyrmion coordinates. The energy functional is minimised for a periodic distribution of Skyrmions…

Condensed Matter · Physics 2019-08-15 A. G. Green , I. I. Kogan , A. M. Tsvelik

Multiple structure and symmetry types and their transformations are discovered in quasi-two-dimensional (quasi-2D) Cr2Ge2Te6 crystal in surprisingly very narrow temperature range of 2 K and magnetic field range of 0.07 T using a homebuilt…

Materials Science · Physics 2018-03-22 Tengfei Guo , Zongwei Ma , Gaoting Lin , Xuan Luo , Yubin Hou , Yuping Sun , Zhigao Sheng , Qingyou Lu

By combining two different techniques to construct multi-soliton solutions of the (3+1)-dimensional Skyrme model, the generalized hedgehog and the rational map ansatz, we find multi-Skyrmion configurations in $AdS_{2}\times S_{2}$. We…

High Energy Physics - Theory · Physics 2017-06-06 Gianni Tallarita , Fabrizio Canfora

The stability of two-dimensional chiral skyrmions in a tilted magnetic field is studied. It is shown that by changing the direction of the field and its magnitude, one can continuously transform chiral skyrmion into a skyrmion with opposite…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Vladyslav M. Kuchkin , Nikolai S. Kiselev

The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate…

Soft Condensed Matter · Physics 2015-11-04 Kai Jiang , Jiajun Tong , Pingwen Zhang , An-Chang Shi

We consider pairwise interaction energies and we investigate their minimizers among lattices with prescribed minimal vectors (length and coordination number), i.e. the one corresponding to the crystal's bonds. In particular, we show the…

Mathematical Physics · Physics 2021-09-20 Laurent Bétermin

The Skyrme model is a low-energy effective field theory for QCD, where the baryons emerge as soliton solutions. It is, however, not so easy within the standard Skyrme model to reproduce the almost exact linear growth of the nuclear masses…

High Energy Physics - Theory · Physics 2014-11-20 C. Adam , J. Sanchez-Guillen , A. Wereszczynski

Skyrmions are disk-like objects that typically form triangular crystals in two dimensional systems. This situation is analogous to the so-called "pancake vortices" of quasi-two dimensional superconductors. The way in which skyrmion disks or…

Materials Science · Physics 2018-02-15 Shi-Zeng Lin , Cristian D. Batista

In contrast to the previous reports that the divalent perovskite SrCrO$_3$ was believed to be cubic structure and nonmagnetic metal, recent measurements suggest coexistence of majority tetragonally distorted weak antiferromagnetic phase and…

Strongly Correlated Electrons · Physics 2009-10-01 K. -W. Lee , W. E. Pickett

We study the spherical collapse model in dark energy cosmologies, in which dark energy is modelled as a minimally coupled scalar field. We first follow the standard assumption that dark energy does not cluster on the scales of interest.…

Astrophysics · Physics 2009-11-10 D. F. Mota , C. van de Bruck

Skyrmions are stable topological textures that have garnered substantial attention within the ferroelectric community for their exotic functional properties. While previous studies have questioned the feasibility of [001]$_{\text{pc}}$…

Materials Science · Physics 2025-08-01 Fernando Gómez-Ortiz , Louis Bastogne , Sriram Anand , Miao Yu , Xu He , Philippe Ghosez

Changes in the nucleon shape are investigated by letting the nucleon deform under the strong interactions with another nucleon. The parameters of the axial deformations are obtained by minimizing the static energy of the two nucleon system…

Nuclear Theory · Physics 2009-10-30 A. Rahimov , T. Okazaki , M. M. Musakhanov , F. C. Khanna

We study the structure and elastic energy of the ground states of crystalline caps conforming to a spherical surface. These ground states consist of positive disclination defects in structures spanning from flat and weakly curved crystals…

Soft Condensed Matter · Physics 2019-10-09 Siyu Li , Roya Zandi , Alex Travesset , Gregory M. Grason

We study the color-spin interaction energy of a quark, a diquark and a baryon with their surrounding baryons and/or quark matter. This is accomplished by classifying all possible flavor and spin states of the resulting multiquark…

Nuclear Theory · Physics 2022-07-13 Aaron Park , Su Houng Lee

We theoretically study a stabilization mechanism of the skyrmion crystal in centrosymmetric magnets with a bilayer structure. We show that the interplay between a layer-dependent staggered Dzyaloshinskii-Moriya interaction that arises from…

Strongly Correlated Electrons · Physics 2022-01-10 Satoru Hayami

If a surface stabilized ferroelectric liquid crystal cell is cooled from the smectic-A to the smectic-C phase, its layers thin causing V-shaped (chevron like) defects to form. These create an energy barrier that can prevent switching…

Analysis of PDEs · Mathematics 2016-11-14 Lidia Mrad , Daniel Phillips

Substitution of nickel by copper in the heavy fermion system CeNi$_{9-x}$Cu$_x$Ge$_4$ alters the local crystal field environment of the Ce$^{3+}$-ions. This leads to a quantum phase transition near $x\approx0.4$, which is not only driven by…

Strongly Correlated Electrons · Physics 2010-03-23 L Peyker , C Gold , E-W Scheidt , H Michor , T Unruh , A Senyshyn , O Stockert , W Scherer

While the tetragonal antiferro-electrically distorted (AFD) phase with space group $I4/mcm$ is well known for SrTiO$_3$ to occur below 105 K, there are also some hints in literature of an orthorhombic phase, either at lower temperature at…

Materials Science · Physics 2018-09-27 Churna Bhandari , Walter R. L. Lambrecht
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