Non-Landau quantum phase transition in modulated SU(N) Heisenberg spin chains

Abstract

We investigate the nature of the quantum phase transition in modulated SU(N) Heisenberg spin chains. In the odd-N case, the transition separates a trivial non-degenerate phase to a doubly-degenerate gapped chiral PSU(N) symmetry-protected topological (SPT) phase which breaks spontaneously the inversion symmetry. The transition is not an Ising transition associated to the breaking of the ${\mathbb{Z}}_2$ inversion symmetry, but is governed by the delocalization of the edge states of the SPT phase. In this respect, a modulated SU(N) Heisenberg spin chain provides a simple example in one dimension of a non-Landau phase transition which is described by the SU(N)${}_1$ conformal field theory. We show that the chiral SPT phase exhibits fractionalized spinon excitations, which can be confined by changing the model parameters slightly.

13 pages, 12 figures

References in corpus (49)

• "Deconfined" quantum critical points
• Zoo of quantum-topological phases of matter
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Real time confinement following a quantum quench to a non-integrable model
• Time-evolving a matrix product state with long-ranged interactions
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Variational optimization algorithms for uniform matrix product states
• One-Dimensional Symmetry Protected Topological Phases and their Transitions
• Tangent-space methods for uniform matrix product states
• Observation of a 4-spin Plaquette Singlet State in the Shastry-Sutherland compound SrCu2(BO3)2
• Confinement of fractional quantum number particles in a condensed matter system
• Variational matrix product ansatz for dispersion relations
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Continuous topological phase transitions between clean quantum Hall states
• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points
• Deconfined quantum critical point in one dimension
• Precise extrapolation of the correlation function asymptotics in uniform tensor network states with application to the Bose-Hubbard and XXZ models
• On topological phases of spin chains
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Quantum phase transitions beyond Landau-Ginzburg theory in one-dimensional space revisited
• Generalization of the Haldane conjecture to SU(3) chains
• Emergent Symmetry and Conserved Current at a One Dimensional Incarnation of Deconfined Quantum Critical Point
• Symmetry-protected topological phases of alkaline-earth cold fermionic atoms in one dimension
• A scaling hypothesis for matrix product states
• Z_3 symmetry-protected topological phases in the SU(3) AKLT model
• The phase transitions between $Z_n\times Z_n$ bosonic topological phases in 1+1 D, and a constraint on the central charge for the critical points between bosonic symmetry protected topological phases
• Exactly solvable model for a deconfined quantum critical point in 1D
• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain
• Chiral Haldane phases of SU(N) quantum spin chains in the adjoint representation
• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Landau ordering phase transitions beyond the Landau paradigm
• Spinon confinement and deconfinement in spin-1 chains
• Quantitative expression of the spin gap via bosonization for a dimerized spin-1/2 chain
• One-dimensional model for deconfined criticality with ${\mathbb{Z}}_3\times {\mathbb{Z}}_3$ symmetry
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Spontaneous Parity Violation in a Quantum Spin Chain
• Kibble-Zurek mechanism in a one-dimensional incarnation of deconfined quantum critical point
• Symmetry-protected topological phases in two-leg SU(N) spin ladder with unequal spins
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• "Haldane" phases with ultracold fermionic atoms in double-well optical lattices
• Unconventional quantum phase transitions in a one-dimensional Lieb-Schultz-Mattis system
• Symmetry protected topological phases in two-orbital SU(4) fermionic atoms
• Logarithmic corrections to finite size spectrum of SU(N) symmetric quantum chains
• Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain

Cited by in corpus (1)

• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients