Kondo lattice model at half-filling

Nourafkan, Reza; Nafari, N.

doi:10.1088/0953-8984/20/25/255231

Cited by 11 publications

(16 citation statements)

References 23 publications

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“…1(b) and as pointed out in Ref. [12]. In the present case, the F-channel phase is masked by the AF-spin phase around half-filling because of the lower transition temperature.…”

supporting

confidence: 79%

“…Then the two-channel Kondo lattice (KL) should undergo some phase transition to reach the ground state from high-temperature phase. Possible orderings in the two-channel KL have been studied by the dynamical mean-field theory (DMFT) [10][11][12], and by other methods [13]. Among possible ground states, the simplest is a magnetically ordered state [10].…”

mentioning

confidence: 99%

“…Superconductivity with odd-frequency pairing has also been discussed for the two-channel KL [11] and a related model called the SUð2Þ Â SUð2Þ Anderson lattice [14]. On the other hand, an exact diagonalization study, using a small discretized reservoir in the DMFT, has found a channel symmetry breaking [12]. In the effective impurity problem of the DMFT, a minute energy scale appears associated with the Kondo effect.…”

mentioning

confidence: 99%

“…The simplest description of periodic non-Kramersdoublets coupled with conduction electrons is given by the two-channel KL [10][11][12][13]:…”

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confidence: 99%

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Diagonal Composite Order in a Two-Channel Kondo Lattice

2011

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A novel type of symmetry breaking is reported for the two-channel Kondo lattice where conduction electrons have spin and orbital (channel) degrees of freedom. Using the continuous-time quantum Monte Carlo and the dynamical mean-field theory, a spontaneous breaking of the orbital symmetry is observed. The tiny breakdown of orbital occupation number, however, vanishes if the conduction electrons have the particle-hole symmetry. The proper order parameter instead is identified as a composite quantity representing the orbital-selective Kondo effect. The single-particle spectrum of the selected orbital shows insulating property, while the other orbital behaves as a Fermi liquid. This composite order is the first example of odd-frequency order other than off-diagonal order (superconductivity), and is a candidate of hidden order in f-electron systems.

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“…1(b) and as pointed out in Ref. [12]. In the present case, the F-channel phase is masked by the AF-spin phase around half-filling because of the lower transition temperature.…”

supporting

confidence: 79%

mentioning

confidence: 99%

mentioning

confidence: 99%

“…The simplest description of periodic non-Kramersdoublets coupled with conduction electrons is given by the two-channel KL [10][11][12][13]:…”

mentioning

confidence: 99%

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Diagonal Composite Order in a Two-Channel Kondo Lattice

2011

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“…25,26 Extension of the present work to the Holstein-two-channel Kondo lattice model would shine light on the properties of the heavy-fermion systems.…”

Section: Discussionmentioning

confidence: 98%

Phase diagram of the Holstein-Kondo lattice model at half filling

Nourafkan

Nafari

2009

Phys. Rev. B

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We study the Kondo lattice model which is modified by the Holstein term, involving both the Kondo exchange coupling and the electron-phonon coupling constants, characterized by J and g, respectively. The model is solved by employing the dynamical mean-field theory in conjunction with the exact diagonalization technique. A zero-temperature phase diagram of symmetry unbroken states at half filling is mapped out which exhibits an interplay between the two interactions and accounts for both spin and charge fluctuations. When the Kondo exchange coupling is dominant the system is in the Kondo insulator state. Increasing g for small values of J leads to a Kondo insulator-metal transition. Upon further enhancement of g a transition to the bipolaronic insulating phase takes place. Also a small region with non-Fermi-liquid behavior is found near the Kondo insulator-metal transition.

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Composite electronic orders induced by orbital Kondo effect

Kuramoto

2016

Science Bulletin

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In a large number of rare-earth and actinide systems, Kondo effect tends to suppress magnetic order by making the spin singlet between localized and conduction electron spins. In the presence of orbital degrees of freedom, however, there emerge exotic electronic orders induced by Kondo effect. The orbital Kondo effect can collectively make diagonal and off-diagonal (superconducting) orders. With the particle-hole symmetry in conduction bands, these orders are all degenerate, forming a macroscopic SO(5) multiplet. This paper discusses recent theoretical development on these electronic orders which are relevant to Pr 3+ and U 4+ systems with even number of f electrons per site. In the superconducting order, each conduction-electron pair is coupled with local degrees of freedom, forming a composite entity with a staggered spatial pattern. The quasi-particle spectrum is best interpreted as virtual hybridization with resonant states at the Fermi level. Possible order parameter for URu2Si2 in the hidden order state is discussed in the context of composite orders. Briefly discussed are related issues such as homogeneous odd-frequency pairing and SO(5) theory for high-temperature superconductors.

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Kondo lattice model at half-filling

Cited by 11 publications

References 23 publications

Diagonal Composite Order in a Two-Channel Kondo Lattice

Diagonal Composite Order in a Two-Channel Kondo Lattice

Phase diagram of the Holstein-Kondo lattice model at half filling

Composite electronic orders induced by orbital Kondo effect

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