Lattice vibration as a knob for novel quantum criticality: Emergence of supersymmetry from spin-lattice coupling

Abstract

Control of quantum coherence in many-body system is one of the key issues in modern condensed matter. Conventional wisdom is that lattice vibration is an innate source of decoherence, and amounts of research have been conducted to eliminate lattice effects. Challenging this wisdom, here we show that lattice vibration may not be a decoherence source but an impetus of a novel coherent quantum many-body state. We demonstrate the possibility by studying the transverse-field Ising model on a chain with renormalization group and density-matrix renormalization group method, and theoretically discover a stable $\mathcal{N}=1$ supersymmetric quantum criticality with central charge $c=3/2$. Thus, we propose an Ising spin chain with strong spin-lattice coupling as a candidate to observe supersymmetry. Generic precursor conditions of novel quantum criticality are obtained by generalizing the Larkin-Pikin criterion of thermal transitions. Our work provides a new perspective that lattice vibration may be a knob for exotic quantum many-body states.

arXiv commentMain text: 5 pages, 3 figures, 1 table; the first two authors contributed equally to this work

References in corpus (36)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Concentrating Partial Entanglement by Local Operations
• Critical Phenomena and Renormalization-Group Theory
• "Deconfined" quantum critical points
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Quantum criticality
• Terahertz-Field-Induced Ferroelectricity in Quantum Paraelectric SrTiO${}_3$
• Charge Transport in Weyl Semimetals
• Metastable ferroelectricity in optically strained $SrTi{O}_3$
• Quantum Criticality
• Deconfined quantum critical points: symmetries and dualities
• Quantum criticality in ferroelectrics
• Dirac and Weyl Superconductors in Three Dimensions
• Emergent Space-time Supersymmetry at the Boundary of a Topological Phase
• Non-Fermi liquid and topological states with strong spin-orbit coupling
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Quadratic Fermi Node in a 3D Strongly Correlated Semimetal
• Universal Window for Two Dimensional Critical Exponents
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Anisotropic perturbations in three-dimensional O(N)-symmetric vector models
• Emergence of supersymmetry on the surface of three dimensional topological insulators
• Emergence of supersymmetric quantum electrodynamics
• Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in Transverse Magnetic Field
• Emergent Lorentz symmetry with vanishing velocity in a critical two-subband quantum wire
• Optical conductivity of topological surface states with emergent supersymmetry
• Emergent supersymmetry at the Ising-Berezinskii-Kosterlitz-Thouless multicritical point
• A supersymmetric multicritical point in a model of lattice fermions
• Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons
• Peierls transition in the quantum spin-Peierls model
• Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
• Topological Phase Transitions in Line-nodal Superconductors
• Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension

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• One- and two-magnon excitations in antiferromagnet PbFeBO4
• Dual dynamic scaling in deconfined quantum criticality
• Phonon-induced modification of quantum criticality
• $\mathcal{N}=1$ supersymmetric three-dimensional QED in the large-$N_f$ limit and applications to super-graphene
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality