Classification of topological trivial matter with non-trivial defects.

Sci Bull (Beijing)

Department of Physics, University of California, Berkeley, CA 94720, USA; Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA. Electronic address:

Published: May 2019


Category Ranking

98%

Total Visits

921

Avg Visit Duration

2 minutes

Citations

20

Article Abstract

In this paper, we apply the K-theory to classify topological trivial fermionic phases which, nonetheless, host symmetry-protected non-trivial defects. An important implication of our work is that the existence of Majorana zero mode in the vortex core is neither a necessary nor a sufficient condition for the superconductor in question being topologically non-trivial.

Download full-text PDF

Source
http://dx.doi.org/10.1016/j.scib.2019.04.006DOI Listing

Publication Analysis

Top Keywords

topological trivial
8
non-trivial defects
8
classification topological
4
trivial matter
4
matter non-trivial
4
defects paper
4
paper apply
4
apply k-theory
4
k-theory classify
4
classify topological
4

Similar Publications

Continuous Quantum Phase Transitions in 2D Topological Insulators Driven by Strain.

J Phys Condens Matter

September 2025

physics, Jundi-Shapur University of Technology, Dezful, Dezful, 64615/334, Iran (the Islamic Republic of).

We develop a novel framework to study quantum phase transitions in two-dimensional topological insulators (TIs) driven by strain-induced perturbations. Using a new perturbation Hamiltonian that couples mechanical strain to topological edge states, we derive formulations for the continuous transition from topological to trivial insulator phases via an intermediate critical phase. Our model introduces critical exponents (v = 1, z = 1), a universal scaling law for the energy gap, and a real-space correlation function, validated through analytical and numerical methods.

View Article and Find Full Text PDF

Hydrophilicity and topology interplay determines positioning of guest molecules in lipid cubic phases.

J Colloid Interface Sci

August 2025

Department of Health Sciences and Technology, ETH Zurich, Zurich 8092, Switzerland; Department of Materials, ETH Zurich, Zurich 8092, Switzerland. Electronic address:

Lipid nanostructures with inverse bicontinuous cubic symmetries are of paramount importance as delivery structures of active compounds in the pharmaceutical, cosmetic and food science fields. By atomistic molecular dynamics, here we study the internalization of three molecules of varying hydrophilicity, fructose, caffeine and vitamin D, within a cubic phase with primitive symmetry, allowing us to assess how the incorporation of the guest molecule is affected by the interplay between its hydrophilicity and the topology of the host membrane. For lipophilic molecules our results reveal the details of molecular localization and orientation, which allow estimating the bending modulus of the membrane by means of a phenomenological model based on the physics of liquid crystals.

View Article and Find Full Text PDF

Magnetic kagome lattices have attracted much attention because the interplay of band topology with magnetism and electronic correlations give rise to various exotic quantum states. A common structural distortion in the kagome lattice is the breathing mode, which can significantly influence the magnetism and band characteristics. However, the control of breathing mode and the associated topological phenomena remain rarely explored.

View Article and Find Full Text PDF

We report the first, to the best of our knowledge, experimental observation of non-Hermiticity-induced topological bound states in the continuum in photonic trimer lattices. Using femtosecond laser direct writing technology, we fabricate a series of photonic trimer lattices with precisely tailored loss, enabling systematic investigation of the non-Hermiticity-driven topological phase transition from trivial to nontrivial states. Remarkably, these edge states embed but do not hybridize with bulk states, exhibiting counterintuitive localized properties akin to bound states in the continuum.

View Article and Find Full Text PDF

The photonic quantum Hall effect enables unidirectional wave propagation in artificial photonic structures. Corner states, induced by helical edge states at material interfaces, localize light in small volumes and exhibit strong compatibility with optical fiber guiding modes. However, existing corner states lack propagating characteristics due to their zero out-of-plane momentum () along the fiber axis.

View Article and Find Full Text PDF