Tunable metallic and topological properties in two-dimensional ligand-functionalized antimonene films

Abstract We study the relationship between the winding number of magnetic merons and the Gaussian curvature of two-dimensional magnetic surfaces. We show that positive (negative) Gaussian curvatures privilege merons with positive (negative) winding number. As in the case of unidimensional domain walls, we found that chirality is connected to the polarity of the core. Both effects allow to predict the topological properties of metastable states knowing the geometry of the surface. These features are related with the recently predicted Dzyaloshinskii-Moriya emergent term of curved surfaces. The presented results are at our knowledge the first ones drawing attention about a direct relation between geometric properties of the surfaces and the topology of the hosted solitons.

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COMMON DYNAMICAL FEATURES OF PERIODICALLY DRIVEN STRICTLY DISSIPATIVE OSCILLATORS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127493000611 ◽

1993 ◽

Vol 03 (03) ◽

pp. 703-715 ◽

Cited By ~ 38

Author(s):

ULRICH PARLITZ

Keyword(s):

Periodic Orbits ◽

Parameter Space ◽

Nonlinear Oscillators ◽

Two Dimensional ◽

Topological Properties ◽

Basic Pattern ◽

Bifurcation Structure ◽

Periodically Driven ◽

Dynamical Features ◽

The Way

Periodically driven strictly dissipative nonlinear oscillators in general possess a recurring bifurcation structure in parameter space. It consists of slightly modified versions of a basic pattern of bifurcation curves that was found to be essentially the same for many different oscillators. The periodic orbits involved in these bifurcation scenarios also possess common topological properties characterized in terms of their torsion numbers and the way they are connected when parameters are varied. In this paper, this typical bifurcation structure of periodically driven strictly dissipative oscillators will be presented and discussed in terms of examples from Duffing’s equation. Furthermore a family of two-dimensional maps is given that models (strictly) dissipative oscillators and shows essential features of the bifurcation pattern found.

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Layer-dependent topological phase in a two-dimensional quasicrystal and approximant

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.2015164117 ◽

2020 ◽

Vol 117 (42) ◽

pp. 26135-26140

Author(s):

Jeffrey D. Cain ◽

Amin Azizi ◽

Matthias Conrad ◽

Sinéad M. Griffin ◽

Alex Zettl

Keyword(s):

Density Functional ◽

Density Functional Theory Calculations ◽

Transition Metal Dichalcogenide ◽

Material System ◽

Two Dimensional ◽

Topological Properties ◽

Scanning Transmission ◽

Layered Transition Metal ◽

Low Dimensional ◽

Physical Phenomena

The electronic and topological properties of materials are derived from the interplay between crystalline symmetry and dimensionality. Simultaneously introducing “forbidden” symmetries via quasiperiodic ordering with low dimensionality into a material system promises the emergence of new physical phenomena. Here, we isolate a two-dimensional (2D) chalcogenide quasicrystal and approximant, and investigate their electronic and topological properties. The 2D layers of the materials with a composition close to Ta1.6Te, derived from a layered transition metal dichalcogenide, are isolated with standard exfoliation techniques, and investigated with electron diffraction and atomic resolution scanning transmission electron microscopy. Density functional theory calculations and symmetry analysis of the large unit cell crystalline approximant of the quasicrystal, Ta21Te13, reveal the presence of symmetry-protected nodal crossings in the quasicrystalline and approximant phases, whose presence is tunable by layer number. Our study provides a platform for the exploration of physics in quasicrystalline, low-dimensional materials and the interconnected nature of topology, dimensionality, and symmetry in electronic systems.

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Analysis the Performance of Interconnection Network Topology C2 Torus Based on Two Dimensional Torus

International Journal of Emerging Research in Management and Technology ◽

10.23956/ijermt.v6i6.264 ◽

2018 ◽

Vol 6 (6) ◽

pp. 169 ◽

Cited By ~ 1

Author(s):

Prachi Chauhan ◽

Manish Bhardwaj

Keyword(s):

Network Topology ◽

Interconnection Network ◽

Routing Algorithm ◽

Two Dimensional ◽

Topological Properties ◽

Interconnected Network ◽

Dimensional Torus ◽

Torus Network

Mesh and Torus are most popular interconnection topologies based on 2D-mesh.Comparison between Mesh and Torus will be considered and new interconnection topology will be proposed to provide better performance. The C2Mesh, is an enhanced mesh interconnected network. This paper enhances the torus network based on the theme of C2Mesh. Topological Properties of new network will be analyzed and implemented by simulation. The new routing Algorithm will be designed for new proposed network (C2Torus). This manuscript performs Comparison between C2Torus and C2Mesh.

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TWO-DIMENSIONAL VERTEX MODEL WITH LOCAL FRICTION COEFFICIENT

International Journal of Modern Physics B ◽

10.1142/s0217979289000142 ◽

1989 ◽

Vol 03 (01) ◽

pp. 163-169 ◽

Cited By ~ 7

Author(s):

YOSHIHISA ENOMOTO ◽

KYOZI KAWASAKI ◽

TATSUZO NAGAI

Keyword(s):

Cell Shape ◽

The Other ◽

Cellular Structures ◽

Two Dimensional ◽

Vertex Model ◽

Topological Properties ◽

Asymptotic Growth ◽

Shape Distribution ◽

Long Time ◽

Time Periods

Time evolution of two-dimensional cellular structures is studied in the context of a deterministic vertex model. Simulating this model for long time periods we discuss two typical aspects of cellular structures. One is the asymptotic growth law of cell size and the other is concerned with the topological properties such as the cell shape distribution.

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Study on topological properties in two-dimensional grain networks via large-scale Monte Carlo simulation

Computational Materials Science ◽

10.1016/j.commatsci.2015.03.044 ◽

2015 ◽

Vol 103 ◽

pp. 165-169 ◽

Cited By ~ 6

Author(s):

Li Meng ◽

Hao Wang ◽

Guoquan Liu ◽

Ying Chen

Keyword(s):

Monte Carlo Simulation ◽

Monte Carlo ◽

Large Scale ◽

Two Dimensional ◽

Topological Properties

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Topological properties of a two-dimensional polymer chain in the lattice of obstacles

Journal of Physics A General Physics ◽

10.1088/0305-4470/21/18/018 ◽

1988 ◽

Vol 21 (18) ◽

pp. 3659-3671 ◽

Cited By ~ 12

Author(s):

S K Nechaev

Keyword(s):

Polymer Chain ◽

Two Dimensional ◽

Topological Properties

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Local Berry curvature signatures in dichroic angle-resolved photoelectron spectroscopy from two-dimensional materials

Science Advances ◽

10.1126/sciadv.aay2730 ◽

2020 ◽

Vol 6 (9) ◽

pp. eaay2730 ◽

Cited By ~ 7

Author(s):

Michael Schüler ◽

Umberto De Giovannini ◽

Hannes Hübener ◽

Angel Rubio ◽

Michael A. Sentef ◽

...

Keyword(s):

Photoelectron Spectroscopy ◽

Great Promise ◽

Two Dimensional ◽

Topological Properties ◽

Time Resolved ◽

Berry Curvature ◽

Two Dimensional Materials ◽

Geometrical Character ◽

Chern Insulators ◽

Topological Character

Topologically nontrivial two-dimensional materials hold great promise for next-generation optoelectronic applications. However, measuring the Hall or spin-Hall response is often a challenge and practically limited to the ground state. An experimental technique for tracing the topological character in a differential fashion would provide useful insights. In this work, we show that circular dichroism angle-resolved photoelectron spectroscopy provides a powerful tool that can resolve the topological and quantum-geometrical character in momentum space. In particular, we investigate how to map out the signatures of the momentum-resolved Berry curvature in two-dimensional materials by exploiting its intimate connection to the orbital polarization. A spin-resolved detection of the photoelectrons allows one to extend the approach to spin-Chern insulators. The present proposal can be extended to address topological properties in materials out of equilibrium in a time-resolved fashion.

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