Finite-temperature ($T$) properties of a Kitaev model defined on honeycomb lattice are investigated by quantum Monte Carlo simulation, from the viewpoint fractionalization $S=1/2$ spins into two types Majorana fermions, itinerant and localized. In this system, entropy is released successively at well-separated $T$ scales, as clear indication thermal fractionalization. We show that high-$T$ crossover, which driven closely related with development nearest-neighbor spin correlations. On other...

The quantum spin liquid is an exotic state of matter in magnets. This a analog helium that does not solidify down to the lowest temperature due strong fluctuations. In conventional fluids, and gas possess same symmetry adiabatically connect each other by bypassing critical end point. We find situation qualitatively different liquids realized three-dimensional Kitaev model; both gapless gapped phases at low temperatures are always distinguished from high-temperature paramagnet (spin gas)...

Three-dimensional condensed matter incarnations of Weyl fermions generically have a tilted dispersion-in sharp contrast to their elusive high-energy relatives where tilt is forbidden by Lorentz invariance, and with the low-energy excitations two-dimensional graphene sheets either crystalline or particle-hole symmetry. Very recently, number materials (MoTe_{2}, LaAlGe, WTe_{2}) been identified as hosts so-called type-II whose dispersion so strongly that Fermi surface formed, whereby node...

We reveal the significance of kinetic-driven multiple-spin interactions hidden in geometrically-frustrated Kondo lattice models. Carefully examining perturbation terms spin-charge coupling up to fourth order, we find that a positive biquadratic interaction is critically enhanced and plays crucial role on stabilizing spin scalar chiral order near 1/4 filling triangular case. This generalized Kohn anomaly, appearing only when second-order inefficient because degeneracy under frustration. The...

We show that, quite generically, a [111] slab of spin-orbit coupled pyrochlore lattice exhibits surface states whose constant energy curves take the shape Fermi arcs, localized to different surfaces depending on their quasimomentum. Remarkably, these persist independently existence Weyl points in bulk. Considering interacting electrons slabs finite thickness, we find plethora known fractional Chern insulating phases, which add discovery new higher number state is likely generalization...

We investigate the effect of geometrical frustration on competition between Kondo coupling and Ruderman-Kittel-Kasuya-Yosida interaction in lattice systems. By variational Monte Carlo simulations, we reveal an emergent quantum phase with partial ordering which is relieved by forming a magnetic order sublattice leaving rest screening spin-singlet formation. The role fluctuations spin-charge interplay elucidated.

We report low-temperature thermal conductivity $\kappa$ of pyrochlore Yb$_2$Ti$_2$O$_7$, which contains frustrated spin-ice correlations with significant quantum fluctuations. In the disordered spin-liquid regime, $\kappa(H)$ exhibits a nonmonotonic magnetic field dependence, is well explained by strong spin-phonon scattering and monopole excitations. show that excitation energy monopoles strongly suppressed from dispersionless classical monopoles. Moreover, in stark contrast to diffusive...

In typical flat-band models, defined as nearest-neighbor tight-binding flat bands are usually pinned to the special energies, such top or bottom of dispersive bands, band-crossing points. this paper, we propose a simple method tune energy without losing exact flatness bands. The main idea is add farther-neighbor hoppings original in way that transfer integral depends only on Manhattan distance. We apply several lattice models including two-dimensional kagome and three-dimensional pyrochlore...

In this letter, we propose a local detection scheme for the Majorana zero mode (MZM) carried by vison in Kitaev's chiral spin liquid (CSL) using scanning tunneling microscopy (STM). The STM introduces single into system through hole/charge injection and interacts with MZM to form stable composite object. We derive exact analytical expression of single-hole Green's function Mott insulating limit model show that differential conductance has split peaks, as consequence resonant vison-hole...

Abstract It has become common knowledge that phonons can generate thermal Hall effect in a wide variety of materials, although the underlying mechanism is still controversial. We study longitudinal κ x and transverse y conductivity Pr 2 Ir O 7 , which metallic analog spin ice. Despite presence mobile charge carriers, we find both are dominated by phonons. A T / H scaling unambiguously reveals heat current substantially impeded resonant scattering on paramagnetic spins. Upon cooling, strongly...

The physics of skyrmions, and in particular the issue how to isolate manipulate them individually, is a subject major importance nowadays community magnetism. In this article we present an in-depth extension study on that was recently proposed by some authors [H. D. Rosales et al., Phys. Rev. Lett. 130, 106703 (2023)]. More precisely, analyze competition between skyrmions chiral spin liquid model kagome lattice. We first analytical overview low-energy states using Luttinger-Tisza...

In the Kitaev chiral spin liquid, Ising anyons are realized as Z_{2} fluxes binding Majorana zero modes, which, however, thermal excitations with finite decay rates. On other hand, a lattice vacancy traps flux even in ground state, resulting stable realization of mode vacancy. We demonstrate that spin-spin correlation functions between two sites exhibit long-range arising from fractionalized character spite strong bulk correlations. Remarkably, this nonlocal does not decrease distance...

Ground-state entropy for an Ising pyrochlore lattice is calculated exactly under a certain range of magnetic field along the [111] axis, where ground-state shows plateau. The obtained 0.0808 k B per spin, which agrees with experimental value. Pauling's method estimating ice problem also applied to present case. Comparison result our exact that underestimates by about 10%.

We present a mechanism of resistivity minimum in conduction electron systems coupled with localized moments, which is distinguished from the Kondo effect. Instead spin-flip process effect, electrons are elastically scattered by local spin correlations evolve particular way under geometrical frustration as decreasing temperature. This demonstrated cellular dynamical mean-field theory for spin-ice-type lattice model on pyrochlore lattice. Peculiar temperature dependences resistivity, specific...

The quantum spin liquid is an enigmatic entity that often hard to characterize within the conventional framework of condensed matter physics. We here present theoretical and numerical evidence for characterization a phase extending from exact ground state finite critical temperature. investigate three-dimensional variant Kitaev model on hyperhoneycomb lattice in limit strong anisotropy; mapped onto effective Ising-type model, where elementary excitations consist closed loops flipped...

Recently, it was reported that $\ensuremath{\beta}$-rhombohedral boron has a negative defect formation energy, which explains the presence of macroscopic amount $(4\text{ }\text{at}\text{.}\text{ }\mathrm{%})$ intrinsic defects. In this work, is shown defects in have geometrical frustration described by an antiferromagnetic Ising model on expanded kagome lattice, responsible for residual entropy. We suggest anomalies transport properties $\ensuremath{\beta}$-boron are due to hopping atoms...

We study the anomalous Hall effect due to noncoplanar magnetism on a pyrochlore structure. focus frustration-induced spatial inhomogeneity of different magnetic low-temperature regimes, between which one can efficiently tune using an external field. incorporate nonmagnetic scattering phenomenological level so that we distinguish effects short-range correlations and coherence. obtain conductivity (σ(H)) as function field strength direction compares well experimental data Pr(2)Ir(2)O(7). In...

We study the interplay of topological bottlenecks and energetic barriers to equilibration in a Coulomb spin liquid where short-range coupling between defects charged under an emergent gauge field supplements their entropic long-range interaction. This work is motivated by prevalence memory effects observed across wide range geometrically frustrated magnetic materials, possibly including spontaneous Hall effect Pr2Ir2O7. Our model canonical spin-ice on pyrochlore lattice, farther-neighbour...

We study the formation of magnetic clusters in frustrated magnets their cooperative paramagnetic regime. For this purpose, we consider $J_1$-$J_2$-$J_3$ classical Heisenberg model on kagome and pyrochlore lattices with $J_2 = J_3=J$. In absence farther-neighbor couplings, $J=0$, system is Coulomb phase correlations well characterized by pinch-point singularities. Farther-neighbor couplings lead to clusters, which can be interpreted as a counterpart topological-charge Ising [T. Mizoguchi, L....

The non-monotonic temperature dependence and sign reversal of chirality-related anomalous Hall effect in highly conductive metals are studied. Through the analysis scattering rate, we find that non-monotonicity have two major origins: (1) competition between contribution from short-range long-range spin correlations (2) correlation high field. former mechanism gives rise to a wide range electron density and, some cases, resistivity as decreases. On other hand, latter is responsible for...

Fractionalization is a ubiquitous phenomenon in topological states of matter. In this work, we study the collective behavior fractionalized charges and their instabilities, through $J_1$-$J_2$-$J_3$ Ising model on kagome lattice, which can be mapped to interacting under constraint Gauss' law. We find that recombination gives rise yet unexplored classical spin liquid. This liquid characterized by an extensive residual entropy, as well formation hexamers same-sign charges. The emergence...

We present a scenario for the peculiar coexistence of charge fluctuations observed in quasi-2D $1/4$-filled organic conductors $\ensuremath{\theta}\mathrm{\text{\ensuremath{-}}}(\mathrm{BEDT}\mathrm{\text{\ensuremath{-}}}\mathrm{TTF}{)}_{2}X$ quantum critical regime where ordering is suppressed down to zero temperature. The explored extended Hubbard model including electron-phonon couplings on an anisotropic triangular lattice. find that coexisting emerge from two different instabilities,...

We investigate the quasiparticle-mass enhancement in Hubbard model on frustrated kagome lattice by using a cluster extension of dynamical mean-field theory. By analyzing density matrix, we find hierarchy energy scale among charge, spin, and chirality degrees freedom. A large amount entropy associated with is released at much lower temperature than other scales for spin charge fluctuations, leading to sharp peak specific heat single-particle spectrum. The results manifest generic mechanism...

We report our theoretical results on the emergence of a partially-disordered state at zero temperature and its detailed nature in periodic Anderson model triangular lattice half filling. The is characterized by coexistence collinear antiferromagnetic order an unfrustrated honeycomb subnetwork nonmagnetic remaining sites. This appears with opening charge gap between noncollinear metal Kondo insulator while changing hybridization Coulomb repulsion. also find characteristic crossover low-energy...