Ground-state phase diagram of the repulsive SU(3) Hubbard model in the Gutzwiller approximation

Rapp, Ákos; Rosch, Achim

doi:10.1103/physreva.83.053605

Cited by 19 publications

(21 citation statements)

References 48 publications

(107 reference statements)

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“…spatially segregated) state in a not too deep optical lattice, as has been recently suggested by Monte-Carlo simulations for two-component mixtures [104]. Or near half-filling in deep optical lattice, as suggested by a Gutzwiller approximation to the SU(3) Hubbard model [105] and a recent generalization of Nagaoka's theorem for the SU(N ) Hubbard model [106].…”

Section: Femi Liquids and Their Instabilities A Su(n ) Fermi Liqumentioning

confidence: 64%

“…Therefore, it is expected [21,28] that it can be realized using ultracold gases as values of N can be as large as 10 using 87 Sr (Table I). However, as pointed out by Honerkamp and Hofstetter [28], at values of N 6, a functional renormalization-group analysis (see also [105], for a recent variational study) shows that another phase, known as a flavor density wave (FDW) phase (Fig. 6 a) is favored over the SF phase.…”

Section: B the Su(n ) Hubbard Model At Weak To Intermediate Couplingmentioning

confidence: 99%

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Ultracold Fermi gases with emergent SU(N) symmetry

2014

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We review recent experimental and theoretical progress on ultracold alkaline-earth Fermi gases with emergent SU(N ) symmetry. Emphasis is placed on describing the ground-breaking experimental achievements of recent years. The latter include the cooling to below quantum degeneracy of various isotopes of ytterbium and strontium, the demonstration of optical Feshbach resonances and the optical Stern-Gerlach effect, the realization of a Mott insulator of 173 Yb atoms, the creation of various kinds of Fermi-Bose mixtures and the observation of many-body physics in optical lattice clocks. On the theory side, we survey the zoo of phases that have been predicted for both gases in a trap and loaded into an optical lattice, focusing on two and three-dimensional systems. We also discuss some of the challenges that lie ahead for the realization of such phases, such as reaching the temperature scale required to observe magnetic and more exotic quantum orders, and dealing with collisional relaxation of excited electronic levels.

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Section: Femi Liquids and Their Instabilities A Su(n ) Fermi Liqumentioning

confidence: 64%

Section: B the Su(n ) Hubbard Model At Weak To Intermediate Couplingmentioning

confidence: 99%

Ultracold Fermi gases with emergent SU(N) symmetry

2014

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“…Therefore, away from half filling, a magnetic instability is expected to prevail on a lattice in the SU(3) Hubbard model, in general agreement with the results of Gutzwiller calculations at low temperatures. 27 The SU(3) Kondo regions are separated by a mixed valence state, which again has a Fermi liquid character with a Fermi liquid scale of the order of the level width, . Here we find a phase shift δ = π/2, in agreement with the expectations based upon the Friedel sum rule, but apart from that, and the emerging electron-hole symmetry at this point, the properties of the mixed valence state appear to be very quite similar to those of the Kondo states.…”

Section: Discussionmentioning

confidence: 99%

SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries

et al. 2012

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We show how the density-matrix numerical renormalization group method can be used in combination with nonAbelian symmetries such as SU(N ). The decomposition of the direct product of two irreducible representations requires the use of a so-called outer multiplicity label. We apply this scheme to the SU(3) symmetrical Anderson model, for which we analyze the finite size spectrum, determine local fermionic, spin, superconducting, and trion spectral functions, and also compute the temperature dependence of the conductance. Our calculations reveal a rich Fermi liquid structure.

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“…The 3-CDW state appears as the ground state of the SU(3)-Heisenberg model on various lattices including triangular, square, and cubic lattices [7,8,43,[70][71][72].…”

Section: Su(3)-heisenberg Model and Its Ground Statementioning

confidence: 99%

Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases

Higashikawa

Ueda

2017

Phys. Rev. B

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A symmetry broken phase of a system with internal degrees of freedom often features a complex order parameter, which generates a rich variety of topological excitations and imposes topological constraints on their interaction (topological influence); yet the very complexity of the order parameter makes it difficult to treat topological excitations and topological influence systematically. To overcome this problem, we develop a general method to calculate homotopy groups and derive decomposition formulas which express homotopy groups of the order parameter manifold G/H in terms of those of the symmetry G of a system and those of the remaining symmetry H of the state. By applying these formulas to general monopoles and three-dimensional skyrmions, we show that their textures are obtained through substitution of the corresponding su(2)-subalgebra for the su(2)-spin. We also show that a discrete symmetry of H is necessary for the presence of topological influence and find topological influence on a skyrmion characterized by a non-Abelian permutation group of three elements in the ground state of an SU(3)-Heisenberg model.

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Ground-state phase diagram of the repulsive SU(3) Hubbard model in the Gutzwiller approximation

Cited by 19 publications

References 48 publications

Ultracold Fermi gases with emergent SU(N) symmetry

Ultracold Fermi gases with emergent SU(N) symmetry

SU(3) Anderson impurity model: A numerical renormalization group approach exploiting non-Abelian symmetries

Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases

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