Two-channel Kondo lattice model on a ladder studied by the density-matrix renormalization-group method

Moreno, Juana; Qin, Shaojin; Coleman, Piers; Yu, Lu

doi:10.1103/physrevb.64.085116

Cited by 8 publications

(7 citation statements)

References 32 publications

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“…The one-dimensional two-channel Kondo lattice model was treated with density matrix renormalization group, with algebraic antiferrohastatic order found at quarter filling for sufficiently strong J K /t 58,91 . Hastatic order was not detected at other fillings, as J K /t was too weak, but further studies would be valuable.…”

Section: B Other Results On Channel-symmetry Breaking Heavy Fermi LImentioning

confidence: 99%

Cubic hastatic order in the two-channel Kondo-Heisenberg model

2018

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Materials with non-Kramers doublet ground states naturally manifest the two-channel Kondo effect, as the valence fluctuations are from a non-Kramers doublet ground state to an excited Kramers doublet. Here, the development of a heavy Fermi liquid requires a channel symmetry breaking spinorial hybridization that breaks both single and double time-reversal symmetry, and is known as hastatic order. Motivated by cubic Pr-based materials with Γ3 non-Kramers ground state doublets, this paper provides a survey of cubic hastatic order using the simple two-channel Kondo-Heisenberg model. Hastatic order necessarily breaks time-reversal symmetry, but the spatial arrangement of the hybridization spinor can be either uniform (ferrohastatic) or break additional lattice symmetries (antiferrohastatic). The experimental signatures of both orders are presented in detail, and include tiny conduction electron magnetic moments. Interestingly, there can be several distinct antiferrohastatic orders with the same moment pattern that break different lattice symmetries, revealing a potential experimental route to detect the spinorial nature of the hybridization. We employ an SU(N) fermionic mean-field treatment on square and simple cubic lattices, and examine how the nature and stability of hastatic order varies as we vary the Heisenberg coupling, conduction electron density, band degeneracies, and apply both channel and spin symmetry breaking fields. We find that both ferrohastatic and several types of antiferrohastatic orders are stabilized in different regions of the mean-field phase diagram, and evolve differently in strain and magnetic fields.

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Section: B Other Results On Channel-symmetry Breaking Heavy Fermi LImentioning

confidence: 99%

Cubic hastatic order in the two-channel Kondo-Heisenberg model

2018

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“…Since the early days of DMRG history (Yu and White, 1993) interest has also focused on the Kondo lattice, generic one-dimensional structures of itinerant electrons and localized magnetic moments, both for the one-channel (Caprara and Rosengren, 1997;Carruzo and Yu, 1996;Garcia et al, 2000Garcia et al, , 2002McCulloch et al, 1999;Shibata et al, 1996aShibata et al, , 1997aShibata et al, ,b, 1996bShibata et al, , 1997cSikkema et al, 1997;Wang, 1998;Watanabe et al, 1999) and two-channel case (Moreno et al, 2001). Anderson models have been studied by Guerrero and Yu (1995), Guerrero and Noack (1996), and Guerrero and Noack (2001).…”

Section: J Applicationsmentioning

confidence: 99%

The density-matrix renormalization group

2005

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The density-matrix renormalization group (DMRG) is a numerical algorithm for the efficient truncation of the Hilbert space of low-dimensional strongly correlated quantum systems based on a rather general decimation prescription. This algorithm has achieved unprecedented precision in the description of one-dimensional quantum systems. It has therefore quickly acquired the status of method of choice for numerical studies of one-dimensional quantum systems. Its applications to the calculation of static, dynamic and thermodynamic quantities in such systems are reviewed. The potential of DMRG applications in the fields of two-dimensional quantum systems, quantum chemistry, three-dimensional small grains, nuclear physics, equilibrium and non-equilibrium statistical physics, and time-dependent phenomena is discussed. This review also considers the theoretical foundations of the method, examining its relationship to matrix-product states and the quantum information content of the density matrices generated by DMRG.

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“…Note that the occurrence of a spin-gap in the 1D Kondo-Heisenberg model has been discussed insightfully in the literature [13,14] and the possibility of an oscillatory superconducting order parameter was previously inferred on the basis of bosonization studies. [15][16][17][18][19][20] However, we believe that this is the first place in which the existence and character of this state has been derived from a microscopic model, and the nature of the correlations is elucidated. [21] Model: The 1D KHM is defined as a one dimensional electron gas (1DEG) coupled to a spin-1 2 chain:…”

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confidence: 99%

Pair-Density-Wave Correlations in the Kondo-Heisenberg Model

2010

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We show, using density-matrix renormalization-group calculations complemented by field-theoretic arguments, that the spin-gapped phase of the one dimensional Kondo-Heisenberg model exhibits quasi-long-range superconducting correlations only at a nonzero momentum. The local correlations in this phase resemble those of the pair-density-wave state which was recently proposed to describe the phenomenology of the striped ordered high-temperature superconductor La(2-x)Ba(x)CuO₄, in which the spin, charge, and superconducting orders are strongly intertwined.

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Two-channel Kondo lattice model on a ladder studied by the density-matrix renormalization-group method

Cited by 8 publications

References 32 publications

Cubic hastatic order in the two-channel Kondo-Heisenberg model

Cubic hastatic order in the two-channel Kondo-Heisenberg model

The density-matrix renormalization group

Pair-Density-Wave Correlations in the Kondo-Heisenberg Model

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