Results 31 to 40 of about 864 (140)
Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach [PDF]
LaTeX file, 14 ...
S. G. Elgendi, Nabil L. Youssef
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The Chern classes of Sobolev connections [PDF]
AssumeF is the curvature (field) of a connection (potential) onR 4 with finiteL 2 norm $$\left( {\int\limits_{R^4 } {\left| F \right|^2 dx< \infty } } \right)$$ . We show the chern number
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Chern connection of a pseudo-Finsler metric as a family of affine connections [PDF]
We consider the Chern connection of a (conic) pseudo-Finsler manifold $(M,L)$ as a linear connection $\nabla^V$ on any open subset $ \subset M$ associated to any vector field $V$ on $ $ which is non-zero everywhere. This connection is torsion-free and almost metric compatible with respect to the fundamental tensor $g$. Then we show some properties of
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Resurgence of Chern-Simons theory at the trivial flat connection
59 pages, 8 ...
Garoufalidis, S.+3 more
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A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian+6 more
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A note on the Gauss–Bonnet–Chern theorem for general connection
In this paper, we prove a local index theorem for the DeRham Hodge-laplacian which is defined by the connection compatible with metric. This connection need not be the Levi-Civita connection. When the connection is Levi-Civita connection, this is the classical local Gauss-Bonnet-Chern theorem.
Haoran Zhao, Haoran Zhao, Haoran Zhao
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From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang+8 more
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Orbital Topology of Chiral Crystals for Orbitronics
Chirality is ubiquitous in nature and constitutional for life. In chiral materials the intrinsic handedness, defined by their crystal structure, becomes a main driver for a novel electronic topology that is based on the orbital angular momentum rather than the electron spin.
Kenta Hagiwara+16 more
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Tailoring Robust Quantum Anomalous Hall Effect via Entropy‐Engineering
Bandstructure renormalization, without (w/o) spin‐orbit interaction (SOI) (left) and with SOI (right), in the low‐energy Dirac bands of zero‐entropy (purple) and entropic (green) VCl3 monolayer (ML) with long‐range ordering (LRO). Abstract The development of quantum materials and the tailoring of their functional properties is of fundamental interest ...
Syeda Amina Shabbir+3 more
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GENERALIZED ABELIAN CHERN-SIMONS THEORIES AND THEIR CONNECTION TO CONFORMAL FIELD THEORIES [PDF]
We discuss the generalization of Abelian Chern-Simons theories when θ-angles and magnetic monopoles are included. We map these three dimensional theories into sectors of two-dimensional conformal field theories. The introduction of θ-angles allows us to establish in a consistent fashion a connection between Abelian Chern-Simons and 2-d free scalar ...
Marco A.C. Kneipp, Marco A.C. Kneipp
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