Quantum effects on unconventional pinch point singularities

Abstract

Fracton phases are a particularly exotic type of quantum spin liquids where the elementary quasiparticles are intrinsically immobile. These phases may be described by unconventional gauge theories known as tensor or multipolar gauge theories, characteristic for so-called type-I or type-II fracton phases, respectively. Both variants have been associated with distinctive singular patterns in the spin structure factor, such as multifold pinch points for type-I and quadratic pinch points for type-II fracton phases. Here, we assess the impact of quantum fluctuations on these patterns by numerically investigating the spin $S=1/2$ quantum version of a classical spin model on the octahedral lattice featuring exact realizations of multifold and quadratic pinch points, as well as an unusual pinch line singularity. Based on large scale pseudo fermion and pseudo Majorana functional renormalization group calculations, we take the intactness of these spectroscopic signatures as a measure for the stability of the corresponding fracton phases. We find that in all three cases, quantum fluctuations significantly modify the shape of pinch points or lines by smearing them out and shifting signal away from the singularities in contrast to effects of pure thermal fluctuations. This indicates possible fragility of these phases and allows us to identify characteristic fingerprints of their remnants.

arXiv comment5 pages, 4 figures (Supplementary: 4 pages, 6 figures)

References in corpus (47)

• Quantum Spin Liquids
• Quantum Error Correction for Quantum Memories
• Local stabilizer codes in three dimensions without string logical operators
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Quantum Glassiness
• Fractons
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Fracton Phases of Matter
• Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story
• Dipolar spin correlations in classical pyrochlore magnets
• Exotic topological order in fractal spin liquids
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Topological order in an exactly solvable 3D spin model
• Power-law spin correlations in pyrochlore antiferromagnets
• Exotic $U(1)$ Symmetries, Duality, and Fractons in 3+1-Dimensional Quantum Field Theory
• J_1-J_2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
• Towards classification of Fracton phases: the multipole algebra
• Topological Quantum Glassiness
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Pinch Point Singularities of Tensor Spin Liquids
• Functional renormalization group for three-dimensional quantum magnetism
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
• Numerical treatment of spin systems with unrestricted spin length $S$: A functional renormalization group study
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Frustrated Quantum Spins at finite Temperature: Pseudo-Majorana functional RG approach
• Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet
• Multiloop functional renormalization group approach to quantum spin systems
• Characterization of quantum spin liquids and their spinon band structures via functional renormalization
• Topological Route to New and Unusual Coulomb Spin Liquids
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Functional renormalization group approach to SU(N) Heisenberg models: Momentum-space RG for the large-N limit
• FCC, Checkerboards, Fractons, and QFT
• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Taming pseudo-fermion functional renormalization for quantum spins: Finite-temperatures and the Popov-Fedotov trick
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Spectroscopic fingerprints of gapless type-II fracton phases

Cited by in corpus (22)

• Pseudo-fermion functional renormalization group for spin models
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Magnetism in the two-dimensional dipolar XY model
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Temperature flow in pseudo-Majorana functional renormalization for quantum spins
• Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Finite-temperature phase transitions in $S=1/2$ three-dimensional Heisenberg magnets from high-temperature series expansions
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• MatsubaraFunctions.jl: An equilibrium Green's function library in the Julia programming language
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Keldysh pseudo-fermion functional renormalization group for quantum magnetism
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice