Liquids in multi-orbital SU(N) Magnets with Ultracold Alkaline Earth Atoms

Abstract

In this work we study one family of liquid states of k-orbital SU(N) spin systems, focusing on the case of k = 2 which can be realized by ultracold alkaline earth atoms trapped in optical lattices, with N as large as 10. Five different algebraic liquid states with selectively coupled charge, spin and orbital quantum fluctuations are considered. The algebraic liquid states can be stabilized with large enough N, and the scaling dimension of physical order parameters is calculated using a systematic 1/N expansion. The phase transitions between these liquid states are also studied, and all the algebraic liquid states discussed in this work can be obtained from one "mother" state with SU(2) x U(1) gauge symmetry.

5 pages, 1 figure

References in corpus (15)

• Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
• U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• Algebraic spin liquid as the mother of many competing orders
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Theory of a continuous Mott transition in two dimensions
• Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi Surface and Application to $\kappa -(BEDT-TTF{)}_{2}C{u}_2(CN{)}_3$
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Supplementary material to Heavy electrons and the symplectic symmetry of spin
• Heavy electrons and the symplectic symmetry of spin
• SU(2) gauge theory of the Hubbard model and application to the honeycomb lattice
• Symplectic N and time reversal in frustrated magnetism
• SU(N) quantum spin models: A variational wavefunction study
• The Renormalization Group Studies on Four Fermion Interaction Instabilities on Algebraic Spin Liquids
• A square lattice algebraic spin liquid with SO(5) symmetry

Cited by in corpus (32)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Realization of SU(2)*SU(6) Fermi System
• Comparing and contrasting nuclei and cold atomic gases
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Quantum Computing and Quantum Simulation with Group-II Atoms
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
• Detection and manipulation of nuclear spin states in fermionic strontium
• Symmetry-protected topological phases of alkaline-earth cold fermionic atoms in one dimension
• Spin Liquid Phases for Spin-1 systems on the Triangular lattice
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state
• Three dimensional Symmetry Protected Topological Phase close to Antiferromagnetic Neel order
• Reservoir spectroscopy of 5s5p ${}^3$P${}_2$ - 5s$n$d ${}^3$D${}_{1,2,3}$ transitions in strontium
• Exotic many-body physics with large-spin Fermi gases
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• SU(N) Fermions in a One-Dimensional Harmonic Trap
• Spin Dependent Collision of Ultracold Metastable Atoms
• Baryon squishing in synthetic dimensions by effective $SU(M)$ gauge fields
• Interorbital Interactions in an SU(2)xSU(6)-Symmetric Fermi-Fermi Mixture
• Phase diagram of one-dimensional earth-alkaline cold fermionic atoms
• Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions
• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• Two-orbital physics of high spin fermionic alkaline earth atoms confined in a one-dimensional chain
• Fermionic dualities with axial gauge fields
• Response functions in multicomponent Luttinger liquids
• Stabilization of the chiral phase of the SU($6m$) Heisenberg model on the honeycomb lattice with $m$ particles per site for $m$ larger than 1
• The Symplectic Fermi Liquid and its realization in cold atomic systems
• Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
• The Symmetry Principle in Condensed Matter Physics (I)
• Momentum classification of SU($n$) spin chains using extended Young Tableaux