Topological order in higher composites

Abstract

We introduce the concept of composite topological order in multicomponent systems. In such a state topological order appears only in higher-than-usual composites, with no topological order in elementary fields. We propose that such a state can be realized in Bose-Fermi mixtures in ultracold atoms.

v3: published version (tiny changes)

References in corpus (34)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental realisation of the topological Haldane model
• "Deconfined" quantum critical points
• The effects of interactions on the topological classification of free fermion systems
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Four-particle condensate in strongly coupled fermion systems
• Dislocations and vortices in pair density wave superconductors
• Commensurate Two-Component Bosons in Optical Lattice: Groundstate Phase Diagram
• Quantum liquid crystals in imbalanced Fermi gas: fluctuations and fractional vortices in Larkin-Ovchinnikov states
• Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Superfluid-Superfluid Phase Transitions in Two-Component Bose System
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Emerging superconductivity with broken time reversal symmetry inside a superconducting $s$-wave state
• Length scales, collective modes, and type-1.5 regimes in three-band superconductors
• Topological phase transitions in the repulsively interacting Haldane-Hubbard model
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Sign-Alternating Interaction Mediated by Strongly-Correlated Lattice Bosons
• Time reversal symmetry breakdown in normal and superconducting states in frustrated three-band systems
• Phase transitions and anomalous normal state in superconductors with broken time reversal symmetry
• First order topological phase transition of the Haldane--Hubbard model
• Thermoelectric Signatures of Time-Reversal Symmetry Breaking States in Multiband Superconductors
• Phase diagram topology of the Haldane-Hubbard-Coulomb model
• Preemptive vortex-loop proliferation in multicomponent interacting Bose--Einstein condensates
• Superfluid drag in the two-component Bose-Hubbard model
• Calorimetric evidence for two phase transitions in Ba${}_{1-\mathrm{x}}$K${}_{\mathrm{x}}$Fe${}_2$As${}_2$ with fermion pairing and quadrupling states
• Unconventional thermoelectric effect in superconductors that break time-reversal symmetry
• Fermi Surface Symmetric Mass Generation
• Effective model and Magnetic Properties of the Resistive Electron Quadrupling State
• Composite symmetry protected topological order and effective models