Stability of the fixed point of the two-channel Kondo Hamiltonian

Pang, H.-B.; Cox, D. L.

doi:10.1103/physrevb.44.9454

Cited by 102 publications

(122 citation statements)

References 9 publications

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“…[24][25][26] In the following we shall always denote quantities that were calculated without (i.e. compensating) the artificial electron-electron interaction by the superscript 'imp'.…”

Section: B Analytical Resultsmentioning

confidence: 99%

Thermodynamics of the anisotropic two-channel Kondo problem

et al. 2002

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We construct and solve numerically the thermodynamic Bethe Ansatz equations for the spinanisotropic two-channel Kondo model in arbitrary external field h. At high temperatures the specific heat and the susceptibility show power law dependence. For h → 0 and at temperatures below the Kondo temperature TK a two-channel Kondo effect develops characterized by a Wilson ratio 8/3, and a logarithmic divergence of the susceptibility and the linear specific heat coefficient. Finite magnetic field, h > 0 drives the system to a Fermi liquid fixed point with an unusual Wilson ratio which depends sensitively on h.

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“…[24][25][26] In the following we shall always denote quantities that were calculated without (i.e. compensating) the artificial electron-electron interaction by the superscript 'imp'.…”

Section: B Analytical Resultsmentioning

confidence: 99%

Thermodynamics of the anisotropic two-channel Kondo problem

et al. 2002

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“…As the temperature decreases further, the system sets in the critical region, where various quantities exhibit the NFL behav-iors. The characteristic energy T K is given by that of the S=1/2 two-channel Kondo model with the exchange coupling J ∼ |V 2 | 2 / max(E f 2 , U 2 ) 18,19,25,26) because the NFL behavior arises from the balance of two couplings by which S 2 interacts with the two "conduction" electron channels. 25,26) Below the crossover temperature T cr at which χ saturates and τ −1 (ω) ceases to change simultaneously (as shown later in Fig.4), the system flows into the local singlet ground state.…”

Section: )mentioning

confidence: 99%

Non-Fermi Liquid Behavior of U-impurity withf²-Singlet Ground State

2002

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It is shown by the Wilson's numerical renormalization-group approach that Non-Fermi liquid (NFL) behaviors arise even for U-impurity with an f 2 -singlet ground state, and all the puzzling behaviors of R1−xUxRu2Si2 (R=Th, Y and La, x ≤ 0.07) can be explained on its basis. There exists an unstable NFL fixed point due to the balance between Kondo singlet and CrystallineElectric-Field singlet ground states. For wide region in parameter space the system shows the NFL behavior as a transient phenomenon in temperature range accessible by experiment. Results for temperature dependence of the resistivity, the magnetic susceptibility and the Sommerfeld coefficient with and without magnetic field reproduce the behaviors observed in Th1−xUxRu2Si2. Less anomalous properties of R1−xUxRu2Si2 (R=Y and La) can be understood along the same scenario provided that those compounds have different sets of parameters.

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“…Indeed, the two-channel model has been fully solved by variety of methods [14][15][16][17][18][19][20]. Quite recently, it has been shown that the susceptibility of real-spin, or channel, does exhibit the non-Fermi liquid behavior if the perturbations breaking the particle-hole symmetry, such as the Coulomb repulsion among conduction electrons or potential scattering, are taken into account [21].…”

Section: Introductionmentioning

confidence: 99%

Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System

Kusunose

Miyake

1996

J. Phys. Soc. Jpn.

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It is shown on the basis of the multiplicative renormalization-group method of two-loop order that the low-energy effective Hamiltonian of a strongly coupled local electron-phonon system is mapped to the two-channel Kondo model. A phonon is treated as an Einstein oscillator with restricted Hilbert space such that up to one-phonon process is taken into account. By eliminating the high energy process of conduction electrons, it is shown that a certain class of couplings between ion vibrations and conduction electrons is selectively grown up. As a result the system is reduced to the two-channel Kondo model. It is demonstrated that such condition is satisfied when g/D is sufficiently large but in a realistic range.

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Stability of the fixed point of the two-channel Kondo Hamiltonian

Cited by 102 publications

References 9 publications

Thermodynamics of the anisotropic two-channel Kondo problem

Thermodynamics of the anisotropic two-channel Kondo problem

Non-Fermi Liquid Behavior of U-impurity withf²-Singlet Ground State

Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System

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Stability of the fixed point of the two-channel Kondo Hamiltonian

Cited by 102 publications

References 9 publications

Thermodynamics of the anisotropic two-channel Kondo problem

Thermodynamics of the anisotropic two-channel Kondo problem

Non-Fermi Liquid Behavior of U-impurity withf2-Singlet Ground State

Two-Channel Kondo Model as a Fixed Point of Local Electron-Phonon Coupling System

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Product

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Non-Fermi Liquid Behavior of U-impurity withf²-Singlet Ground State