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The Geometry of planar domain walls is studied. It is argued that the planar walls indeed have plane symmetry. In the Minkowski coordinates the walls are mapped into revolution paraboloids.

General Relativity and Quantum Cosmology · Physics 2009-07-07 F. M. Paiva , Anzhong Wang

We study supersymmetric domain walls in N=1 supergravity theories, including those with modular-invariant superpotentials arising in superstring compactifications. Such domain walls are shown to saturate the Bogomol'nyi bound of wall energy…

High Energy Physics - Theory · Physics 2009-09-17 Mirjam Cvetic , Stephen Griffies , Soo-Jong Rey

Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential…

Strongly Correlated Electrons · Physics 2025-04-02 R. Flores-Calderón , Elio J. König , Ashley M. Cook

Topological phases of matter are known to be unstable against strong onsite disorder in one dimension. In this work, however, we propose that in the case of a topological ladder, an onsite quasiperiodic disorder under proper conditions,…

Quantum Gases · Physics 2026-02-02 Sanchayan Banerjee , Rajashri Parida , Tapan Mishra

The geometry of fundamental domains of lattices was used by Han and Wang to construct multivariate Gabor frames for separable lattices. We build upon their results to obtain Gabor frames with smooth and compactly supported window functions.…

Functional Analysis · Mathematics 2010-11-01 Götz E. Pfander , Peter Rashkov , Yang Wang

Considering a planar gravitating thick domain wall of the $\lambda \phi^4$ theory, we demonstrate how the Darmois junction conditions written on the boundaries of the thick wall with the embedding spacetimes reproduce the Israel junction…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Ghassemi , S. Khakshournia , R. Mansouri

Domain walls are the transition regions between two magnetic domains. These objects have been very relevant during the last decade, not only due to their intrinsic interest in the development of novel spintronics devices but also because of…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Oscar Alejos , Víctor Raposo , Eduardo Martínez

For large coupled nonlinear systems, it is difficult to visualize the high-dimensional phase space, which has been thoroughly studied in smaller systems with regards to phenomena such as riddled basins. Here we propose a method to reduce…

Statistical Mechanics · Physics 2007-07-11 Gil Benkö , Henrik Jeldtoft Jensen

Dynamical quantum phase transitions occur when a dynamical free energy becomes non-analytic at critical \emph{times}. They have been shown to exist in, among other systems, topological insulators and superconductors. Additionally in both…

Statistical Mechanics · Physics 2025-08-18 Tomasz Masłowski , Jesko Sirker , Nicholas Sedlmayr

The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are investigated. The ribbon operators and the classification of…

Quantum Physics · Physics 2023-07-25 Zhian Jia , Dagomir Kaszlikowski , Sheng Tan

Despite multiple efforts, there exist many unsolved fundamental problems related with detection and analysis of internal polarization structure and related phase transitions in ferroelectric domain walls. Their solution can be very…

We consider a model with two real scalar fields which admits phantom domain wall solutions. We investigate the structure and evolution of these phantom domain walls in an expanding homogeneous and isotropic universe. In particular, we show…

General Relativity and Quantum Cosmology · Physics 2017-08-16 P. P. Avelino , V. M. C. Ferreira , J. Menezes , L. Sousa

There is considerable evidence, based on large $N_c$ chiral dynamics, holographic QCD, and Monte Carlo studies, that the QCD vacuum is permeated by discrete quasivacua separated by domain walls across which the local value of the…

High Energy Physics - Theory · Physics 2014-06-18 H. B. Thacker

We consider the broken phase of the n-vector model in n+1 dimensions with boundary conditions enforcing the presence of topological defect lines (Ising domain walls, XY vortex lines, and so on), and use field theory to argue an exact…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino

We classify the topology of quench dynamics by homotopy groups. A relation between the topological invariant of a post-quench order parameter and the topological invariant of a static Hamiltonian is shown in one, two and three dimensions.…

Mesoscale and Nanoscale Physics · Physics 2018-06-18 Po-Yao Chang

A phenomenological model for the interface between trivial and topological two-dimensional insulators possessing the same band gap is presented. The model depends on three measurable parameters, the energy gap $E_g$, the Fermi velocity of…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 F. L. Freitas

We introduce the Uhlmann geometric phase as a tool to characterize symmetry-protected topological phases in 1D fermion systems, such as topological insulators and superconductors. Since this phase is formulated for general mixed quantum…

Quantum Physics · Physics 2014-04-04 O. Viyuela , A. Rivas , M. A. Martin-Delgado

Topology and nonlinearity are deeply connected. However, whether topological effects can arise solely from the structure of nonlinear interaction terms, and the nature of the resulting topological phases, remain to large extent open…

Quantum Physics · Physics 2026-04-10 Alessandro Coppo , Alexandre Le Boité , Simone Felicetti , Valentina Brosco

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Heng Gao , Jörn W. F. Venderbos , Youngkuk Kim , Andrew M. Rappe

In this paper, we construct defects (domain walls) that connect different phases of two-dimensional gauged linear sigma models (GLSMs), as well as defects that embed those phases into the GLSMs. Via their action on boundary conditions these…

High Energy Physics - Theory · Physics 2021-05-19 Ilka Brunner , Fabian Klos , Daniel Roggenkamp
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