Nontrivial topology in condensed matter systems enriches quantum states of matter, to go beyond either the classification into metals and insulators terms conventional band theory or that symmetry broken phases by Landau's order parameter framework. So far, focus has been on weakly interacting systems, little is known about limit strong electron correlations. Heavy fermion are a highly versatile platform explore this regime. Here we report discovery giant spontaneous Hall effect Kondo...

Insulating states can be topologically nontrivial, a well-established notion that is exemplified by the quantum Hall effect and topological insulators. By contrast, metals have not been experimentally evidenced until recently. In systems with strong correlations, they yet to identified. Heavy fermion semimetals are prototype of strongly correlated and, given their spin-orbit coupling, present natural setting make progress. Here we advance Weyl-Kondo semimetal phase in periodic Anderson model...

We demonstrate that the entanglement entropy area law for free fermion ground states and corresponding volume highly excited are related by a position-momentum duality, thus of same origin. For typical state in thermodynamic limit, we further show reduced density matrix subsystem approaches thermal matrix, provided subsystem's linear size is small compared to whole system all directions, property dub eigenstate typicality. This provides an explicit example thermalization via entanglement,...

We study the long-range Coulomb interaction effects on double-Weyl fermion system, which is possibly realized in three-dimensional semimetal ${\mathrm{HgCr}}_{2}{\mathrm{Se}}_{4}$ ferromagnetic phase. Within one-loop renormalization-group analysis, we find that there exists a stable fixed point at screened anisotropically. At point, renormalized induces nontrivial logarithmic corrections to physical quantities, such as specific heat, compressibility, electrical conductivity, and diamagnetic...

There is considerable current interest to explore electronic topology in strongly correlated metals, with heavy fermion systems providing a promising setting. Recently, Weyl-Kondo semimetal phase has been concurrently discovered theoretical and experimental studies. The work was carried out Kondo lattice model that time-reversal invariant but inversion-symmetry breaking. In this paper, we show some detail how nonsymmorphic space-group symmetry strong correlations cooperate form Weyl nodal...

We show the violation of entanglement area law for bosonic systems with Bose surfaces. For gapless factorized energy dispersions on an ${N}^{d}$ Cartesian lattice in $d$ dimensions, e.g., exciton liquid two we explicitly that a belt subsystem width $L$ preserving translational symmetry along $d\ensuremath{-}1$ axes has leading entropy $({N}^{d\ensuremath{-}1}/3)\mathrm{ln}L$. Using this result, strong subadditivity inequality, and symmetries, bound rectangular from below above showing...

Complex and correlated quantum systems with promise for new functionality often involve entwined electronic degrees of freedom. In such materials, highly unusual properties emerge could be the result electron localization. Here, a cubic heavy fermion metal governed by spins orbitals is chosen as model system this physics. Its are found to originate from surprisingly simple low-energy behavior, 2 distinct localization transitions driven single degree freedom at time. This unexpected, but we...

The distribution network reconfiguration is a process that consists of changing the status switches for re-routing power after fault occurrence, or to optimize some given criteria. Traditionally, feeder complex combinatorial and constrained optimization problem because numerous combinations candidate switches. A multi-agent based system proposed. load agents switch located at loads in global agent substation. objective supply critical while maintaining an acceptable voltage profile....

We construct an exactly solvable spin-orbital model on a decorated square lattice that realizes SU(2)-invariant Majorana spin liquid with parton Fermi surfaces, of the kind discussed recently by Biswas et al. [Phys. Rev. B. 83, 245131 (2011)]. find power-law correlations as well spin-nematic same dominant $1/{|\mathbf{r}|}^{3}$ envelope. The is also in presence Zeeman magnetic field. One fermion species carries ${S}^{z}=0$ quantum number and its surface not altered field, while surfaces...

The FeCrAlRE (where RE is reactive element) alloy Kanthal AF was exposed isothermally at 600 and for 72 h in dry with 10 vol % . mass gains were 3–5 times higher the temperature. presence of water vapor increased oxidation rate , while no significant effect observed A thin two-layered oxide formed : an outer corundum-type oxide, containing some Al, inner, probably amorphous, Al-rich oxide. At a both environments. inner layer consisted inward grown In originally outward had transformed to...

Oxidation and corrosion properties at 900°C of two coatings, one containing platinum the other platinum-free, on IN792 were investigated. During exposures, sodium sulfate salt was situated in furnace together with coated specimens. The temperature kept above its melting point but lower than coating i.e. 900°C. exposure times ranged from 100 to 1000 h. formed oxide scales studied by X-ray diffraction, scanning electron microscopy, energy-dispersive spectroscopy, transmission microscopy...

We realize a gapless Majorana orbital liquid (MOL) using degrees of freedom and an SU(2)-invariant spin (MSL) both in Kitaev-type models on two-leg ladder. The are exactly solvable by Kitaev's parton approach, we obtain long-wavelength descriptions for liquids. MOL has one mode power-law correlations energy at incommensuate wave vectors, while the SU(2) MSL three modes spin, spin-nematic, local observables. study stability such states to perturbations away from points. find that can be...

We study bond energy correlation functions in an exactly solvable quantum spin model of Kitaev type on the kagome lattice with stable Fermi surface partons proposed recently by Chua et al, Ref.\[arXiv:1010.1035]. Even though any correlations are ultra-short ranged, we find that have power law behavior a $1/|{\bm r}|^3$ envelope and oscillations at incommensurate wavevectors. determine corresponding singular surfaces momentum space, which provide gauge-invariant characterization this gapless liquid.

The magnetic and nematic properties of the iron chalcogenides have recently been subject intense interest. Motivated by proposed antiferroquadrupolar Ising-nematic orders for bulk FeSe, we study phase diagram an S=1 generalized bilinear-biquadratic model with multineighbor interactions. We find a large parameter regime (π, 0) phase, showing how quantum fluctuations stabilize it lifting infinite degeneracy certain semiclassical states. Evidence this C_{4}-symmetry-breaking quadrupolar is also...

We consider an electronic model for realizing the spin Bose-metal (SBM) phase on a two-leg triangular strip---a liquid found by Sheng et al. [Phys. Rev. B 79, 205112 (2009)] in spin-1/2 with ring exchanges. The SBM can be viewed as ``C1S2'' Mott insulator of electrons where overall charge transporting mode is gapped out. start from two-band ``C2S2'' metal and extended repulsion motivated recent ab initio derivation $\ensuremath{\kappa}\text{-ET}$ material [K. Nakamura al., J. Phys. Soc. Jpn....

In the presence of nonrelativistic supersymmetry, a sharp fermionic collective mode similar to Goldstino in high-energy physics was proposed be realized Bose-Fermi mixtures. The is relaxed (i.e., decays) if supersymmetry explicitly broken, which can revealed as broadening corresponding spectral function. We find that situation shares many similarities with electron-spin resonance magnetic systems and adopt well-known Kubo-Tomita theory perform general analysis spectral-function line-shape mode.

We study the effects of short-ranged interactions on ${Z}_{2}$ topological insulator phase, also known as quantum spin Hall in Kane-Mele model at half-filling with staggered potentials, which explicitly breaks discrete particle-hole symmetry. Within Hartree-Fock mean-field analysis, we conclude that on-site repulsive help stabilize phase (quantum Hall) against potentials by enlarging regime along axis ratio potential strength and spin-orbit coupling. In sharp contrast, attractive destabilize...

Frustration in quantum spin systems promote a variety of novel phases. An important example is the frustrated spin-1 model on square lattice with nearest-neighbor bilinear (${J}_{1}$) and biquadratic (${K}_{1}$) interactions. We provide strong evidence for nematic liquid phase range ${K}_{1}/{J}_{1}$ near SU(3)-symmetric point (${J}_{1}={K}_{1}$), based linear flavor-wave theory extensive density matrix renormalization group calculation. This displays no dipolar or quadrupolar order,...

A co-dimension one critical surface in the momentum space can be either a familiar Fermi surface, which separates occupied states from empty ones non-interacting fermion case, or novel Bose where gapless bosonic excitations are anchored. Their presence gives rise to logarithmic violation of entanglement entropy area law. When they convex, we show that shape these surfaces determined by inspecting leading term real entropy. The fundamental difference between and is revealed fact terms...

We study theoretically edge transport of a fractional quantum Hall liquid, in the presence dot inside bar with well controlled electron density and Landau level filling factor \nu, show that such studies can help reveal nature liquid. In our first example we \nu=1/3 \nu=2/3 liquids \nu=1 dot. When becomes large, its states join those to reconstruct configuration. Taking randomness around edges into account, find disorder-irrelevant phase two-terminal conductance original system vanishes at...

Fractionalized excitations develop in many unusual many-body states such as quantum spin liquids, disordered phases that cannot be described using any local order parameter. Because these exotic correspond to emergent degrees of freedom, how probe them and establish their existence is a long-standing challenge. We present general procedure reveal the fractionalized real-space entanglement entropy critical liquids are particularly relevant experiments. Moreover, we show use construct...

Nematic order is an exotic property observed in several strongly correlated systems, such as iron-based superconductors. Using large-scale density matrix renormalization group (DMRG) techniques, we study at zero temperature the nematic spin liquid that competes with dipolar and quadrupolar orders. We use these orders to characterize different quantum phases phase transitions. More specifically, a spin-1 bilinear-biquadratic Heisenberg model on square lattice couplings beyond nearest...

The authors address the physics of FeSe, a representative iron-based superconductor with enigmatic electronic orders. work uncovers sequence quantum phase transitions in frustrated spin-1 model on square lattice. It goes from non-magnetic antiferroquadrupolar to antiferromagnetic phases, all which are nematic fourfold breaking lattice rotational symmetry.