Literature and RDMFT results for triangular lattice

Literature

• Yoshiki Imai and Norio Kawakami, "Spectral functions in itinerant electron systems with geometrical frustration", Phys. Rev. B 65, 233103 (2002), http://link.aps.org/doi/10.1103/PhysRevB.65.233103
  • Anisortopic and isotropic triangular lattice: t'/t= 0 --1
  • Comparison with square lattice
  • DOS, spectral functions
  • Suppression of AF correlations
    • Y.\ Imai and N.\ Kawakami, Phys.\ Rev.\ B {\bf 65}, 233103 (2002)
• J. Merino, B. J. Powell, and Ross H. McKenzie, "Ferromagnetism, paramagnetism, and a Curie-Weiss metal in an electron-doped Hubbard model on a triangular lattice", Phys. Rev. B 73, 235107 (2006), http://prb.aps.org/abstract/PRB/v73/i23/e235107
  • Isotropic triangular lattice
  • Different filling, hopping t>0 and t<0
  • Ferromagnetism (Fig.14) for different electron doping
  • Discussion on relevance of DMFT results for square/triangular lattice
    • J.\ Merino, B.\ J.\ Powell, and R.\ H.\ McKenzie, Phys.\ Rev.\ B {\bf 73}, 235107 (2006)
• T. Tohyama, "Effect of frustration on charge dynamics for a doped two-dimensional triangular Hubbard lattice: Comparison with a square lattice", Phys. Rev. B 74, 113108 (2006), http://prb.aps.org/abstract/PRB/v74/i11/e113108
  • Isotropic triangular lattice, comparison with square
  • Near half-filling
  • Optical conductivity
    • T.\ Tohyama, Phys.\ Rev.\ B {\bf 74}, 113108 (2006)
• K. Aryanpour, W. E. Pickett, and R. T. Scalettar, "Dynamical mean-field study of the Mott transition in the half-filled Hubbard model on a triangular lattice", Phys. Rev. B 74, 085117 (2006), http://prb.aps.org/abstract/PRB/v74/i8/e085117
  • Isotropic triangular lattice
  • At half filling
  • Mott transition at Uc~12t
  • DOS for different U and T (Fig 1,2)
  • Magnetic moment (T) for different U (U/t=4 --14) -> D(T) [mostly DMFT, DQMC for U=8t,?]: Fig 3, discussion on page 3 (end of page) - 4
    • K.\ Aryanpour, W.\ E.\ Pickett, and R.\ T.\ Scalettar, Phys.\ Rev.\ B {\bf 74}, 085117 (2006)
• K.-W. Lee, J. Kuneš, R. T. Scalettar, and W. E. Pickett, "Correlation effects in the triangular lattice single-band system LixNbO2", Phys. Rev. B 76, 144513 (2007), http://prb.aps.org/abstract/PRB/v76/i14/e144513
  • Triangular lattice with t1=64 meV, t2=100 meV, t3=33 meV
  • T = 1100 K = 0.1 eV or 750 K
  • Various filling n = 1, 4/3, 5/3
  • Filling and compressibility as a function of mu for U = 0.0 -- 2.5 eV (Fig. 2)
  • Spin-spin correlation function vs filling for U=1 eV (Fig. 3)
    • K.-W.\ Lee, J.\ Kune\v{s}, R.\ T.\ Scalettar, and W.\ E.\ Pickett, Phys.\ Rev.\ B {\bf 76}, 144513 (2007)
• Bumsoo Kyung, "Electronic properties of the Hubbard model on a frustrated triangular lattice", Phys. Rev. B 75, 033102 (2007), http://prb.aps.org/abstract/PRB/v75/i3/e033102
  • Isotropic triangular lattice
  • T = 0
  • Mott transition at Uc=10.5t
  • Local and nearest-neighbor spin correlations as a function of doping for U/t=10.5 (Fig. 6)
    • B.\ Kyung, Phys.\ Rev.\ B {\bf 75}, 033102 (2007)
• Hunpyo Lee, Gang Li, and Hartmut Monien, "Hubbard model on the triangular lattice using dynamical cluster approximation and dual fermion methods", Phys. Rev. B 78, 205117 (2008), http://prb.aps.org/abstract/PRB/v78/i20/e205117
  • Isotropic triangular lattice
  • At half filling
  • First-order MIT
  • D(U) for T=0.2; 0.1; 0.05 (Fig. 4)
  • Nearest-neighbor spin-correlation function as a function of U for T=0.2; 0.1; 0.05 (Fig. 5)
    • H.\ Lee, G.\ Li, and H.\ Monien, Phys.\ Rev.\ B {\bf 78}, 205117 (2008)
• Peyman Sahebsara and David Sénéchal, "Hubbard Model on the Triangular Lattice: Spiral Order and Spin Liquid", Phys. Rev. Lett. 100, 136402 (2008), http://prl.aps.org/abstract/PRL/v100/i13/e136402
  • Isotropic triangular lattice, comparison with square lattice
  • Half filling
  • U>12t spiral order
  • U<6.7t metallic phase
  • Spiral order parameter m as a function of U or scaling parameter Q (Fig. 3)
    • P.\ Sahebsara and D.\ S\'{e}n\'{e}chal, Phys.\ Rev.\ Lett.\ {\bf 100}, 136402 (2008)
• B. Davoudi, S. R. Hassan, and A.-M. S. Tremblay, "Competition between charge and spin order in the t-U-V extended Hubbard model on the triangular lattice", Phys. Rev. B 77, 214408 (2008), http://prb.aps.org/abstract/PRB/v77/i21/e214408
  • Isotropic triangular lattice
  • Extended Hubbard model
  • Crossover diagrams/temperature for different filling
    • B.\ Davoudi, S.\ R.\ Hassan, and A.-M.\ S.\ Tremblay, Phys.\ Rev.\ B {\bf 77}, 214408 (2008)
• Takuma Ohashi, Tsutomu Momoi, Hirokazu Tsunetsugu, and Norio Kawakami, "Finite Temperature Mott Transition in Hubbard Model on Anisotropic Triangular Lattice", Phys. Rev. Lett. 100, 076402 (2008), http://prl.aps.org/abstract/PRL/v100/i7/e076402
  • Anisortopic triangular lattice: t'/t= 0.5 -- 0.8
  • Paramagnetic
  • Mott transition
  • D(T); D(U)
    • T.\ Ohashi, T.\ Momoi, H.\ Tsunetsugu, and N.\ Kawakami, Phys.\ Rev.\ Lett.\ {\bf 100}, 076402 (2008)
• Jiming Gao, Jiaxiang Wang, "The metal-insulator transition in the half-filled extended Hubbard model on a triangular lattice", Journal of Physics Condensed Matter 21, 485702 (2009), http://dx.doi.org/10.1088/0953-8984/21/48/485702
  • Isotropic triangular lattice
  • Extended Hubbard model
  • Half-filling
  • Mott transotion
  • SDW, CDW in the metallic regime (Fig. 9)
    • J.\ Gao, J.\ Wang, J.\ Phys.\ Cond.\ Matt.\ {\bf 21}, 485702 (2009)
• Takuya Yoshioka, Akihisa Koga, and Norio Kawakami, "Quantum Phase Transitions in the Hubbard Model on a Triangular Lattice", Phys. Rev. Lett. 103, 036401 (2009), http://prl.aps.org/abstract/PRL/v103/i3/e036401
  • Isotropic triangular lattice
  • Half filling
  • nonmagnetic insulating (NMI) -> metallic and nonmagnetic insulating -> 120° Neel ordered pase transitions
  • Spin correlation function as a function of U (Fig. 5)
  • metallic -> NMI Uc1~7.4t
  • NMI -> 120° Neel Uc2~9.2t
    • T.\ Yoshioka, A.\ Koga, and N.\ Kawakami, Phys.\ Rev.\ Lett.\ {\bf 103}, 036401 (2009)
• Dimitrios Galanakis, Tudor D. Stanescu, and Philip Phillips, "Mott transition on a triangular lattice", Phys. Rev. B 79, 115116 (2009), http://prb.aps.org/abstract/PRB/v79/i11/e115116
  • Isotropic triangular lattice
  • Paramagnetic
  • Mott transition at Uc~5.6t
  • DOS for different filling n=0.971 -- 1.494
  • mu(n)
    • D.\ Galanakis, T.\ D.\ Stanescu, and P.\ Phillips, Phys.\ Rev.\ B {\bf 79}, 115116 (2009)
• A. Liebsch, H. Ishida, and J. Merino, "Mott transition in two-dimensional frustrated compounds", Phys. Rev. B 79, 195108 (2009), http://prb.aps.org/abstract/PRB/v79/i19/e195108
  • Isotropic and anisotropic triangular lattice t'/t = 0.8; 1.0
  • Phase diagrams
  • Spin correlations as a function of U at T = 0.05t
  • D(U) for t' = 0.8t, T = 0.05t
  • Discussion of magnetic properties (page 3)
    • A.\ Liebsch, H.\ Ishida, and J.\ Merino, Phys.\ Rev.\ B {\bf 79}, 195108 (2009)
• Frank Lechermann, "Correlation Effects on the Doped Triangular Lattice in View of the Physics of Sodium-Rich NaxCoO2", Phys. Rev. Lett. 102, 046403 (2009), http://link.aps.org/doi/10.1103/PhysRevLett.102.046403
  • Isotropic triangular lattice
  • Different filling
  • on-site and NN spin correlation as a function of U or doping (Fig. 2)
    • F.\ Lechermann, Phys.\ Rev.\ Lett.\ {\bf 102}, 046403 (2009)
• Takuya Yoshioka, Akihisa Koga, Norio Kawakami, "Mott transition in the Hubbard model on the triangular lattice", physica status solidi (b) 247, 635–637 (2010), http://dx.doi.org/10.1002/pssb.200983020
  • Isotrtopic triangular lattice
  • First order phase transition paramagnetic metal state -> nonmagnetic insulator at Uc~7.4t
    • T.\ Yoshioka, A.\ Koga, and N.\ Kawakami, Phys.\ Stat.\ Solidi B {\bf 247}, 635 (2010)

Results

-- NilsBluemer - 10 Sep 2010