A5071561186- Quantum and electron transport phenomena
- Advanced Mathematical Physics Problems
- Topological Materials and Phenomena
- Cold Atom Physics and Bose-Einstein Condensates
- Polyoxometalates: Synthesis and Applications
- X-ray Diffraction in Crystallography
- Metal-Organic Frameworks: Synthesis and Applications
- Crystallization and Solubility Studies
- Physics of Superconductivity and Magnetism
- advanced mathematical theories
- Nonlinear Photonic Systems
- Quantum many-body systems
- Nonlinear Waves and Solitons
- Advanced Nanomaterials in Catalysis
- Black Holes and Theoretical Physics
- Chemical Synthesis and Reactions
- Advanced Photocatalysis Techniques
- Spectral Theory in Mathematical Physics
- Gas Dynamics and Kinetic Theory
- Algebraic structures and combinatorial models
- Numerical methods for differential equations
- Advanced Harmonic Analysis Research
- Advanced Mathematical Modeling in Engineering
- Mathematical Analysis and Transform Methods
- Quantum chaos and dynamical systems
Huazhong University of Science and Technology
2024
Princeton University
2022-2024
University of Oxford
2022-2023
Lanzhou University of Technology
2023
Georgia Southern University
2011-2022
University of Pennsylvania
2018-2020
Xi'an University of Technology
2019
Nanjing Normal University
2018
Fudan University
2012-2017
Collaborative Innovation Center of Chemistry for Energy Materials
2014-2017
In this work we consider a generalization of the symmetry classification topological insulators to non-Hermitian Hamiltonians which satisfy combined $PT$-symmetry (parity and time-reversal). We show via examples, explicit bulk boundary state proofs that typical paradigm forming insulator states from Dirac is not compatible with construction $PT$-symmetric Hamiltonians. The are $PT$-breaking phases have energy spectra complex (not real) thus such consistent quantum theories.
Abstract The use of surface-directing species and surface additives to alter nanoparticle morphology physicochemical properties particular exposed facets has recently been attracting significant attention. However, challenges in their chemical analysis, sometimes at trace levels, understanding roles elucidate structure–activity relationships optical (solar cells) or (photo)catalytic performance removal are issues that remain be solved. Here, we show a detailed analysis TiO 2 promoted with...
We uncover topological features of neutral particle-hole pair excitations correlated quantum anomalous Hall (QAH) insulators whose approximately flat conduction and valence bands have equal opposite non-zero Chern number. Using an exactly solvable model we show that the underlying band topology affects both center-of-mass relative motion bound states. This leads to formation exciton are robust nonuniformity dispersion Berry curvature. apply these ideas recently-reported broken-symmetry...
Sulfated titania solid superacids with different dominant facets were prepared and {001} facilitated the enhancement of acidic properties.
We introduce a model of interacting Majorana fermions that describes superconducting phase with topological order characterized by the Fibonacci field theory. Our theory, which is based on $SO(7)_1/(G_2)_1$ coset factorization, leads to solvable one dimensional extended two dimensions using network construction. In addition providing description without parafermions, our theory predicts closely related "anti-Fibonacci" phase, whose tricritical Ising model. show can split into pair anyons,...
Abstract The development of the highly active nanocatalysts for effective hydrogen (H 2 ) production is great significance its practical applications in fuel cells. Herein, we reported a facile and scale‐up synthetic methodology to grow situ remarkably ultrasmall Ru nanoclusters on nitrogen (N)‐enriched hierarchically macroporous‐mesoporous carbon supports (Ru@hPCN). resultant Ru@hPCN combines structural chemical merits well‐dispersed 0.7‐nm nanoclusters, N‐enriched functional surface 3D...
We present a novel proof on the discrete Fourier restriction. The recovers Bourgain's level set result for Strichartz estimates associated with Schrödinger equations torus. Some sharp L^{{2(d+2)}/{d}} norms of certain exponential sums in higher dimensional cases are established. As an application, we show that some multilinear maximal functions bounded L^2(\mathbb Z) .
We argue that a correlated fluid of electrons and holes can exhibit fractional quantum Hall effect at zero magnetic field analogous to the Laughlin state filling $1/m$. introduce variant wavefunction for show $m=1$ it is exact ground free fermion model describes $p_x + i p_y$ excitonic pairing. For $m>1$ we develop simple composite mean theory, present evidence our correctly this phase. derive an interacting Hamiltonian which state, physical arguments $m=3$ be realized in system energy bands...
The lithium metal batteries coupled with nickel-rich LiNi
In this paper, we consider a discrete restriction associated with KdV equations.Some new Strichartz estimates are obtained.We also establish the local well-posedness for periodic generalized Kortewegde Vries equation nonlinear term F(u)∂ x u provided F ∈ C 5 and initial data φ H s > 1/2.
Abstract Introduction Citri Reticulatae Pericarpium (CRP) is a commonly‐used traditional Chinese medicine with flavonoids as the major bioactive components. Nevertheless, contents of in CRP different sources may significantly vary affecting their therapeutic effects. Thus, setting up reliable and comprehensive quality assessment method for necessary. Objective To set rapid sensitive ultra‐fast liquid chromatography coupled tandem mass spectrometry (UFLC‐MS/MS) simultaneous quantification...
We consider fractional quantum Hall states in systems where two flat Chern number $C=\ifmmode\pm\else\textpm\fi{}1$ bands are labeled by an approximately conserved valley index and interchanged time reversal symmetry. At filling factor $\ensuremath{\nu}=1$ this setting admits unusual hierarchy of correlated phases excitons, neutral particle-hole pair excitations a fully valley-polarized orbital ferromagnet parent state all electrons occupy single valley. Excitons experience effective...
We consider fractional quantum Hall states in systems where two flat Chern number $C=\pm 1$ bands are labeled by an approximately conserved 'valley' index and interchanged time reversal symmetry. At filling factor $ν=1$ this setting admits unusual hierarchy of correlated phases excitons, neutral particle-hole pair excitations a fully valley-polarized `orbital ferromagnet' parent state all electrons occupy single valley. Excitons experience effective magnetic field due to the numbers...
Recent experiments in twisted bilayer WTe$_2$ revealed the existence of anisotropic Luttinger liquid behavior. To generically characterize such systems, we study a model two-dimensional (2D) arrays coupled wires, which effectively form an array moir\'e wires. We solve by transfer matrix method, and identify quasi-1D electron bands system at small twist angles. With interactions added, show that wires have effective parameter $g_\text{eff}$ much lower than microscopic This leads to sliding...
We construct and study a chiral Sachdev-Ye (SY) model consisting of $N$ $\mathrm{SU}{(M)}_{1}$ Wess-Zumino-Witten (WZW) models with current-current interactions among each other, which generalizes the $0+1\mathrm{d}$ quantum chaotic SY spin into $1+1\mathrm{d}$ system anyon excitations. Each WZW hosts Abelian anyons as charge excitations, may arise edge theory $2+1\mathrm{d}$ gapped topological phases. solve in two limits show distinct dynamics. The first limit is case uniform at any...
We construct a coupled wire model for sequence of non-Abelian quantum Hall states occurring at filling factors $\ensuremath{\nu}=2/(2M+q)$ with integers $M$ and even (odd) $q$ fermionic (bosonic) states. They are termed ${Z}_{2}\ifmmode\times\else\texttimes\fi{}{Z}_{2}$ orbifold states, which have topological order neutral sector described by the $c=1$ conformal field theory (CFT) radius ${R}_{\mathrm{orbifold}}=\sqrt{p/2}$ $p$. When $p=2$, state can be viewed as two decoupled layers...
Hecke operators relate characters of rational conformal field theories (RCFTs) with different central charges, and extend the previously studied Galois symmetry modular representations fusion algebras. We show that conductor N an RCFT quadratic residues modulo play important role in computation classification permutations. establish a correspondence through picture effective charge, which combines inner automorphisms structure simple currents. then make first attempt to full data tensor...