Recently, Co-based honeycomb magnets have been proposed as promising candidate materials to host the Kitaev spin liquid state. One of front-runners is BaCo$_2$(AsO$_4$)$_2$ (BCAO), where it was suggested that exchange processes between Co$^{2+}$ ions via surrounding edge-sharing oxygen octahedra could give rise bond-dependent interactions. In this work, we present and analyze comprehensive inelastic neutron scattering studies BCAO with fields in plane. Combining constraints from magnon...

A comprehensive theoretical study of octupolar quantum spin ice shows that the dynamical structure factor is characterized by a broad continuum with three distinctive peaks which could be confirmed inelastic neutron scattering measurements.

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be used to classify different symmetry-enriched topological phases and reveal some their unique experimental signatures. Despite its vast popularity, there currently no available framework study symmetry quantum spin ice (QSI)---a $\text{U}(1)$ liquid (QSL) on the pyrochlore lattice supporting emergent photons---within most widely theoretical describe it, gauge mean-field theory (GMFT). In this work,...

Quantum spin ice (QSI) is an emblematic three-dimensional $U(1)$ quantum liquid (QSL) on the pyrochlore lattice that hosts gapless photon-like modes and spinon excitations. Despite its notable status current rise of strong material candidates ${\mathrm{Ce}}_{2}$(Zr, Sn, ${\mathrm{Hf})}_{2}{\mathrm{O}}_{7}$, there are still only a few analytical approaches to model low-energy physics QSI. These methods essential gain insight into physical interpretation measurements. We here introduce...

Motivated by recent experiments on <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:msub><a:mi>Ce</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi>Zr</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi mathvariant="normal">O</a:mi><a:mn>7</a:mn></a:msub></a:mrow></a:math> that reveal a dynamic, liquidlike ground state, we study the nearest-neighbor XYZ Hamiltonian of dipolar-octupolar pyrochlore magnets with pseudofermion functional renormalization group (PFFRG), which is numerically...

Recent experiments on the dipolar-octupolar pyrochlore compound ${\mathrm{Ce}}_{2}{\mathrm{Zr}}_{2}{\mathrm{O}}_{7}$ indicate that it may realize a three-dimensional quantum spin liquid (QSL). In particular, analyses of available data suggest system is in region parameter space, where so-called $\ensuremath{\pi}$-flux $U(1)$ octupolar ice (QSI) with an emergent photon could be realized. However, because far from perturbative classical regime, unclear whether ground state primarily coherent...

The triangular lattice Hubbard model at strong coupling, whose effective spin contains both Heisenberg and ring exchange interactions, exhibits a rich phase diagram as the ratio of hopping $t$ to on-site Coulomb repulsion $U$ is tuned. This includes chiral liquid (CSL) phase. Nevertheless, this exotic remains challenging realize experimentally because given material has fixed value $t/U$, which difficult tune with external stimuli. One approach address problem applying dc electric field,...

Electronic spins can form long-range entangled phases of condensed matter named quantum spin liquids. Their existence is conceptualized in models two- or three-dimensional frustrated magnets that evade symmetry-breaking order down to zero temperature. Quantum ice (QSI) a theoretically well-established example described by an emergent electrodynamics, with excitations behaving like photon and quasiparticles. The latter are fractionally charged equivalent the `spinons' emerging from coherent...

Understanding non-Fermi liquids in dimensions higher than one remains of the most formidable challenges modern condensed matter physics. These systems, characterized by an abundance gapless degrees freedom and absence well-defined quasiparticles, defy conventional analytical frameworks. Inspired recent work on bosonization Fermi surfaces [Delacretaz, Du, Mehta, Son, Physical Review Research, 4, 033131 (2022)], we present a procedure for bosonizing liquids, which provides holistic approach...

Motivated by recent experiments on Ce$_2$Zr$_2$O$_7$ that reveal a dynamic, liquid-like ground state, we study the nearest neighbor XYZ Hamiltonian of dipolar-octupolar pyrochlore magnets with pseudofermion functional renormalization group (PFFRG), which is numerically implemented SpinParser software. Taking interaction between octupolar components to be dominant and antiferromagnetic, map out phase diagram demarcating quantum disordered magnetically ordered states. We identify four distinct...

Quantum spin ice (QSI) is an emblematic three-dimensional $U(1)$ quantum liquid (QSL) on the pyrochlore lattice that hosts gapless photon-like modes and spinon excitations. Despite its notable status current rise of strong material candidates Ce$_2$(Zr, Sn, Hf)$_2$O$_7$, there are still only a few analytical approaches to model low-energy behavior QSI. These methods essential gain insight into physical interpretation measurements. We here introduce self-consistent exclusive boson...

Early efforts to realize exotic quantum ground states in frustrated magnets focused on frustration arising from the lattice geometry alone. Attention has shifted bond-dependent anisotropic interactions, as well further-neighbor non-geometrically-frustrated lattices due their greater versatility. The honeycomb magnet BaCo$_2$(AsO$_4$)$_2$ recently emerged a candidate host for both (e.g. Kitaev) and third-neighbor ($J_3$) become model experimental system its relatively low levels of disorder....

A quantum spin liquid (QSL) arises from a highly entangled superposition of many degenerate classical ground states in frustrated magnet, and is characterized by emergent gauge fields deconfined fractionalized excitations (spinons). Because such novel phase matter relevant to high-transition-temperature superconductivity computation, the microscopic understanding QSL long-sought goal condensed physics. The 3D pyrochlore lattice corner-sharing tetrahedra can host with U(1) called ice (QSI),...

Dipolar-octupolar (DO) pyrochlore systems Ce$_2$(Zr,Sn,Hf)$_2$O$_7$ have garnered much attention as recent investigations suggest that they may stabilize a novel quantum spin ice (QSI), liquid (QSL) with an emergent $U(1)$ gauge field. In particular, the experimentally estimated microscopic exchange parameters place Ce$_2$Zr$_2$O$_7$ in $\pi$-flux QSI regime, and neutron scattering experiments corroborated some key theoretical predictions. On other hand, to make definitive conclusion, more...

<title>Abstract</title> A quantum spin liquid (QSL) arises from a highly entangled superposition of many degenerate classical ground states in frustrated magnet, and is characterized by emergent gauge fields deconfined fractionalized excitations (e.g., spinons)^1-5. Because such novel phase matter relevant to high-transition-temperature superconductivity^6,7 computation^8,9, the microscopic understanding QSL long-sought goal condensed physics. The 3D pyrochlore...

Dipolar-octupolar (DO) pyrochlore systems ${\mathrm{Ce}}_{2}$(Zr,${\mathrm{Sn},\mathrm{Hf})}_{2}{\mathrm{O}}_{7}$ have garnered much attention as recent investigations suggest that they may stabilize a novel quantum spin ice (QSI), liquid (QSL) with an emergent $U(1)$ gauge field. In particular, the experimentally estimated microscopic exchange parameters place ${\mathrm{Ce}}_{2}{\mathrm{Zr}}_{2}{\mathrm{O}}_{7}$ in $\ensuremath{\pi}$-flux QSI regime, and neutron scattering experiments...

Recent investigations on the dipolar-octupolar compounds Ce$_2$Zr$_2$O$_7$ and Ce$_2$Sn$_2$O$_7$ suggest that they may stabilize so-called $\pi$-flux octupolar quantum spin ice ($\pi$-O-QSI), a novel three-dimensional liquid hosting emergent photons. Confirmation of such an exotic phase would require prediction distinctive signature its subsequent experimental observation. So far, however, theoretical predictions for any sharp smoking-gun signatures are lacking. In this Letter, we thoroughly...

The triangular lattice Hubbard model at strong coupling, whose effective spin contains both Heisenberg and ring exchange interactions, exhibits a rich phase diagram as the ratio of hopping $t$ to onsite Coulomb repulsion $U$ is tuned. This includes chiral liquid (CSL) phase. Nevertheless, this exotic remains challenging realize experimentally because given material has fixed value $t/U$ that can difficultly be tuned with external stimuli. One approach address problem applying DC electric...

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be used to classify different symmetry-enriched topological phases and reveal some their unique experimental signatures. Despite its vast popularity, there currently no available framework study symmetry quantum spin ice (QSI) -- $U(1)$ liquid (QSL) on the pyrochlore lattice supporting emergent photons within most widely theoretical describe it, gauge mean-field theory (GMFT). In this work, we provide...

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be used to classify different symmetry-enriched topological phases and reveal some their unique experimental signatures. Despite its vast popularity, there currently no available framework study symmetry quantum spin ice (QSI) -- $U(1)$ liquid (QSL) on the pyrochlore lattice supporting emergent photons within most widely theoretical describe it, gauge mean-field theory (GMFT). In this work, we provide...

Recent experiments on the dipolar-octupolar pyrochlore compound Ce$_2$Zr$_2$O$_7$ indicate that it may realize a three-dimensional quantum spin liquid (QSL). In particular, analyses of available data suggest system is in region parameter space, where so-called $\pi$-flux $U(1)$ octupolar ice (QSI) with an emergent photon could be realized. On other hand, because far from perturbative classical regime, unclear whether ground state primarily coherent superposition 2-in-2-out configurations as...