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Identifying Instabilities with Quantum Geometry in Flat Band Systems
Jia-Xin Zhang, Wen O. Wang, Leon Balents +1
The absence of a well-defined Fermi surface in flat-band systems challenges the conventional understanding of instabilities toward Landau order based on nesting. We investigate the…
Analytic Formulas for the Anomalous Hall Effect in Itinerant Magnets
Lucile Savary
We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in…
Quantum kinetic equation and thermal conductivity tensor for bosons
Léo Mangeolle, Lucile Savary, Leon Balents
We systematically derive the quantum kinetic equation in full phase space for any quadratic hamiltonian of bosonic fields, including in the absence of translational invariance. Thi…
Phonon Thermal Hall Conductivity from Scattering with Collective Fluctuations
Léo Mangeolle, Leon Balents, Lucile Savary
Because electrons and ions form a coupled system, it is a priori clear that the dynamics of the lattice should reflect symmetry breaking within the electronic degrees of freedom. T…
Phase diagrams and excitations of anisotropic quantum magnets on the triangular lattice
Urban F. P. Seifert, Lucile Savary
The bilinear-biquadratic Heisenberg exchange model on the triangular lattice with a single-ion anisotropy has previously been shown to host a number of exotic magnetic and ne…
Thermal Conductivity and Theory of Inelastic Scattering of Phonons by Collective Fluctuations
Léo Mangeolle, Leon Balents, Lucile Savary
We study the intrinsic scattering of phonons by a general quantum degree of freedom, i.e. a fluctuating "field" , which may have completely general correlations, restricted only…
Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
Seydou-Samba Diop, George Jackeli, Lucile Savary
One of the signatures of the face-centered cubic (fcc) antiferromagnet as a typical example of a geometrically frustrated system is the large ground state degeneracy of the classic…
Phonon Hall Viscosity in Magnetic Insulators
Mengxing Ye, Lucile Savary, Leon Balents
The Phonon Hall Viscosity is the leading term evincing time-reversal symmetry breaking in the low energy description of lattice phonons. It may generate phonon Berry curvature, and…
Nematic insulator at charge neutrality in twisted bilayer graphene
Eric Brillaux, David Carpentier, Andrei A. Fedorenko +1
We investigate twisted bilayer graphene near charge neutrality using a generalized Bistritzer-MacDonald continuum model, accounting for corrugation effects. The Fermi velocity vani…
Dimer description of the SU(4) antiferromagnet on the triangular lattice
Anna Keselman, Lucile Savary, Leon Balents
In systems with many local degrees of freedom, high-symmetry points in the phase diagram can provide an important starting point for the investigation of their properties throughou…
Quantization of the thermal Hall conductivity at small Hall angles
Mengxing Ye, Gábor B. Halász, Lucile Savary +1
We consider the effect of coupling between phonons and a chiral Majorana edge in a gapped chiral spin liquid with Ising anyons (e.g., Kitaev's non-Abelian spin liquid on the honeyc…
Disorder-Induced Entanglement in Spin Ice Pyrochlores
Lucile Savary, Leon Balents
We propose that in a certain class of magnetic materials, known as non-Kramers 'spin ice,' disorder induces quantum entanglement. Instead of driving glassy behavior, disorder provo…
Quantum Spin Liquids
Lucile Savary, Leon Balents
Quantum spin liquids may be considered "quantum disordered" ground states of spin systems, in which zero point fluctuations are so strong that they prevent conventional magnetic lo…
Quantum Loop States in Spin-Orbital Models on the Honeycomb Lattice
Lucile Savary
We construct a physically realistic and analytically tractable model for spin-1 systems with orbital degeneracy on the honeycomb lattice, relevant to honeycomb materials with large…
Quantum spin ice on the breathing pyrochlore lattice
Lucile Savary, Xiaoqun Wang, Hae-Young Kee +3
The Coulombic quantum spin liquid in quantum spin ice is an exotic quantum phase of matter that emerges on the pyrochlore lattice and is currently actively searched for. Motivated…
Probing Hidden Orders with Resonant Inelastic X-Ray Scattering
Lucile Savary, T. Senthil
We propose a general scheme for the derivation of the signals resonant inelastic (and elastic) x-ray scattering (RIXS) gives access to. In particular, we find that RIXS should allo…
A New Type of Quantum Criticality in the Pyrochlore Iridates
Lucile Savary, Eun-Gook Moon, Leon Balents
Magnetic fluctuations and electrons couple in intriguing ways in the vicinity of zero temperature phase transitions - quantum critical points - in conducting materials. Quantum cri…
Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
Lucile Savary, Leon Balents
Quantum spin liquids are highly entangled ground states of quantum systems with emergent gauge structure, fractionalized spinon excitations, and other unusual properties. While the…
Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
Lucile Savary, Kate A. Ross, Bruce D. Gaulin +2
Here we establish the systematic existence of a U(1) degeneracy of all symmetry-allowed Hamiltonians quadratic in the spins on the pyrochlore lattice, at the mean-field level. By e…
Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
Lucile Savary, Leon Balents
We develop a non-perturbative "gauge Mean Field Theory" (gMFT) method to study a general effective spin-1/2 model for magnetism in rare earth pyrochlores. gMFT is based on a novel…
Quantum Excitations in Quantum Spin Ice
Kate A. Ross, Lucile Savary, Bruce D. Gaulin +1
Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as "artificial magnetostatics", manifesting as Coulombic po…
Impurity Effects in Highly Frustrated Diamond Lattice Antiferromagnets
Lucile Savary, Emanuel Gull, Simon Trebst +3
We consider the effects of local impurities in highly frustrated diamond lattice antiferromagnets, which exhibit large but non-extensive ground state degeneracies. Such models are…