Abstract High mechanical strength, toughness, and fatigue resistance are essential to improve the reliability of conductive hydrogels for self‐powered sensing. However, achieving mutually exclusive properties simultaneously remains challenging. Hence, a novel directed interlocking strategy based on topological network structure training is proposed construct tough by optimizing modulating orientation molecular chains. Combining Zn 2+ crosslinked cellulose nanofibers (CNFs)...

Robust fractional charge localized at disclination defects has been recently found as a topological response in $C_{6}$ symmetric 2D crystalline insulators (TCIs). In this article, we thoroughly investigate the on disclinations $C_n$ TCIs, with or without time reversal symmetry, and including spinless spin-$\frac{1}{2}$ cases. We compute charges from Wannier representations real space use band representation theory to construct indices of for all $2D$ TCIs that admit (generalized)...

We study the geometric response of three-dimensional non-Hermitian crystalline systems with nontrivial point-gap topology. For fourfold rotation symmetry, we show that in presence disclination lines a total Frank angle which is an integer multiple $2\pi$, there can be one-dimensional topology along direction lines. This results disclination-induced skin effects. By doubling Hamiltonian to Hermitian chiral topological insulator, modes are zero effective surface Dirac fermion(s) pseudomagnetic...

Higher order topological insulators (HOTIs) are a new class of materials which host protected states at the corners or hinges crystal. HOTIs provide an intriguing alternative platform for helical and chiral edge Majorana modes, but there very few known in this class. Recent studies have proposed Bi as potential HOTI, however, its classification is not yet well accepted. In work, we show that (110) facets BiSb alloys can be used to unequivocally establish topology these systems....

While chirality imbalances are forbidden in conventional lattice systems, non-Hermiticity can effectively avoid the chiral-doubling theorem to facilitate 1D chiral dynamics. Indeed, such systems support unbalanced unidirectional flows that lead localization of an extensive number states at boundary, known as non-Hermitian skin effect (NHSE). Recently, a generalized (rank-2) describing 2D robust gapless mode with dispersion $\omega=k_{x}k_{y}$ has been introduced crystalline systems. Here we...

The shuttle effect of lithium polysulfides on a positive electrode and the uncontrollable growth dendrites negative are two fundamental crucial problems lithium–sulfur batteries (LSBs). These have led to low actual specific capacity poor rate performance these batteries. In order resolve issues at both electrodes simultaneously, we used Fe Co bimetallic atoms dope three-dimensional dodecahedron material ZIF-8, which is as monomer construct functional modified separator. Owing porous...

We introduce a time-reversal-symmetric analog of the Hopf insulator that we call spin insulator. The harbors nontrivial Kane-Mele $\Z_2$ invariants on its surfaces, and is first example nonmagnetic delicate topological with spin-orbit coupling. show topology surface generically unstable, but can be stabilized by addition composition particle hole spatial inversion symmetry. Such symmetry not only protects invariant, also gapless helical hinge states Furthermore, in presence four-fold...

We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in antiferromagnetic Kitaev model externally applied magnetic field, sandwiched between well-known gapped chiral and partially polarized phase. that, moderate fields, π-fluxes nucleate ground state trap Majorana zero modes. As these fluxes proliferate with increasing modes overlap creating emergent $${{\mathbb{Z}}}_{2}$$ quantum metallic "Fermi surface" at energy. further show that spectral function...

Asymmetric energy exchange interactions, also known as Hatano-Nelson type couplings, enable the study of non-Hermitian physics and associated phenomena like skin effect exceptional points (EPs). Since these interactions are by definition nonreciprocal, there have been very few options for implementations in integrated photonics. In this work, we show that asymmetric couplings readily achievable photonic systems through time-domain dynamic modulation. We experimentally concept using a...

We study the entanglement spectrum (ES) of two-dimensional $C_{n}$-symmetric second-order topological insulators (TIs). show that some characteristic higher order observables, e.g., filling anomaly and its associated fractional corner charge, can be determined from ES atomic fragile TIs. By constructing relationship between configuration Wannier orbitals number protected in-gap states in for different symmetric cuts real space, we express charge terms ES. our formula is robust presence...

We identify topological aspects of the subextensive magnetic moment contributed by surfaces a three-dimensional crystallite -- assumed to be insulating in bulk as well on all surface facets, with trivial Chern invariants bulk. The geometric component this is given its derivative respect chemical potential, at zero temperature and field, per unit area, hence corresponds compressibility. sum compressibilities two opposite facets cube-shaped quantized an integer multiple fundamental constant...

Abstract Lithium (Li) metal has earned valuable status among the most auspicious anodes for assembly of next‐generation rechargeable batteries. However, dendritic growth and infinite change in volume metallic Li anode strongly hinder its use practical applications. Here, preparation atomically dispersed iron doped ZIF‐8 through pyrolysis (Fe@NC) to lower nucleation overpotential control deposition on specific positions is reported. Thermodynamic kinetic simulations show that single Fe atoms...

We study the scattering theory of delicate topological insulators (TIs), which are novel phases beyond paradigm tenfold way, quantum chemistry, and symmetry indicator method. demonstrate that phase reflection amplitude can probe topology by capturing a characteristic feature TI. This is returning Thouless pump, where an integer number charges pumped forward backward in first second half adiabatic cycle respectively. As byproduct our analysis we show requiring additional symmetries stable...

We investigate the signatures of fractionalization in quantum spin liquids by studying different phases Kitaev honeycomb model presence an out-of-plane magnetic field through which becomes non-integrable. Using infinite Projected Entangled Pair States (iPEPS) ansatz, along with analytical calculations and exact diagonalization, we calculate dynamical fractionalized particles spin-spin dimer-dimer correlations. Our analysis demonstrates ability these correlations to discern distinct sectors,...

We propose a novel mechanism to explain the emergence of an intermediate gapless spin liquid phase (IGP) in antiferromagnetic Kitaev model externally applied magnetic field, sandwiched between well-known gapped chiral (CSL) and partially polarized (PP) phase. moderate fields $\pi$-fluxes nucleate ground state can trap Majorana zero modes. As these fluxes proliferate with increasing modes overlap creating emergent metallic `Fermi surface' at energy. further show that spectral function...

To achieve logic operations via Majorana braiding, positional control of the bound states (MBSs) must be established. Here we report observation a striped surface charge order coexisting with superconductivity and its interaction MBS in topological superconductor 2M-WS2, using low-temperature scanning tunneling microscopy. By applying an out-of-plane magnetic field, observe that MBSs are absent vortices region stripe order. This is contrast to adjacent underlaying layers without order, where...

While chirality imbalances are forbidden in conventional lattice systems, non-Hermiticity can effectively avoid the chiral-doubling theorem to facilitate 1D chiral dynamics. Indeed, such systems support unbalanced unidirectional flows that lead localization of an extensive number states at boundary, known as non-Hermitian skin effect (NHSE). Recently, a generalized (rank-2) describing 2D robust gapless mode with dispersion $ω=k_{x}k_{y}$ has been introduced crystalline systems. Here we...