Resolution of Entropy \(\ln\sqrt{2}\) by Ordering in Two-Channel Kondo Lattice

Hoshino, Shintaro; Otsuki, Junya; Kuramoto, Yoshio

doi:10.7566/jpsj.82.044707

Cited by 38 publications

(61 citation statements)

References 30 publications

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“…3(f)); however, we did not find any evidence for such split features below the Fermi level. Moreover, the wave vector of the hole pocket is smaller than the value deduced in previous spectroscopic studies181933, further supporting the irrelevance. (2) Our data support that the energy gap is formed at the Fermi level upon the transition, and the ‘M-shaped’ band does not cross the Fermi level below T HO .…”

Section: Discussionsupporting

confidence: 57%

“…(4) There is no conclusive evidence for any bulk hole-like band being involved in the hybridization. One possible reconciliation is that another hole pocket remains undetected in ultrahigh-resolution ARPES owing to the matrix-element effect; another interesting possibility is that the ‘M-shaped’ band is formed by a mechanism unique to a two-channel Kondo lattice33; this model does not necessarily require the existence of a hole pocket in the disordered state.…”

Section: Discussionmentioning

confidence: 99%

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Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2

Yoshida

Tsubota

Ishiga

et al. 2013

Sci Rep

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URu2Si2 is a uranium compound that exhibits a so-called ‘hidden-order’ transition at ~17.5 K. However, the order parameter of this second-order transition as well as many of its microscopic properties remain unclarified despite considerable research. One of the key questions in this regard concerns the type of spontaneous symmetry breaking occurring at the transition; although rotational symmetry breaking has been detected, it is not clear whether another type of symmetry breaking also occurs. Another key question concerns the property of Fermi-surface gapping in the momentum space. Here we address these key questions by a momentum-dependent observation of electronic states at the transition employing ultrahigh-resolution three-dimensional angle-resolved photoemission spectroscopy. Our results provide compelling evidence of the spontaneous breaking of the lattice's translational symmetry and particle-hole asymmetric gapping of a heavy quasiparticle pocket at the transition.

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Section: Discussionsupporting

confidence: 57%

Section: Discussionmentioning

confidence: 99%

Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2

Yoshida

Tsubota

Ishiga

et al. 2013

Sci Rep

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“…To this end, we first briefly summarize the known properties of the TCKL. According to the previous studies [40,42], the system shows a non-Fermi-liquid behavior in the disordered phase even at low temperatures. This is due to the residual entropy that cannot be removed by the Kondo effect in the two-channel case.…”

Section: Two-channel Kondo Lattice and Composite Ordersmentioning

confidence: 73%

“…Thus, the effective model for the channel order with z is given by the following one-body hybridization model [42,49]:…”

Section: A Derivation Of One-body Hamiltonian For Composite Pairing mentioning

confidence: 99%

Mean-field description of odd-frequency superconductivity with staggered ordering vector

Hoshino

2014

Phys. Rev. B

Self Cite

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A low-energy fixed-point Hamiltonian is constructed for the s-wave odd-frequency pairing state with staggered ordering vector in the two-channel Kondo lattice. The effective model is justified because it reproduces low-energy behaviors of self-energy obtained by the dynamical mean-field theory. The retardation effect is essential for the odd-frequency pairing, which comes from the hybridization process between conduction electrons and pseudofermions originating from localized spins at low energies. Using the effective Hamiltonian, the electromagnetic response functions are microscopically calculated. The present system shows a "weak" Meissner effect, where both paramagnetic and diamagnetic parts contribute to the Meissner kernel to give a small total diamagnetic response in the superconducting state. This feature is in contrast to the ordinary s-wave BCS pairing where only the diamagnetic kernel is finite in the ground state. The staggered nature of the odd-frequency order parameter plays an important role for the sign of the Meissner kernel.

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“…In the last decade, the lattice version of the two-channel Kondo problem has also been studied theoretically [9], and in particular, by means of the so-called dynamical mean-field theory, it is found that it exhibits a variety of long-range orderings [10,11]. The analytic expressions of T dependence are obtained as…”

Section: C(t )/T χ(T ) ∝ − Ln(t /T 2k ) ρ(Tmentioning

confidence: 99%

Competition between Quadrupole and Magnetic Kondo Effects in Non-Kramers Doublet Systems

Kusunose

Onimaru

2015

J. Phys.: Conf. Ser.

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We discuss possible competition between magnetic and quadrupole Kondo effects in non-Kramers doublet systems under cubic symmetry. The quadrupole Kondo effect leads to non-Fermi-liquid (NFL) ground state, while the magnetic one favors ordinary Fermi liquid (FL). In terms of the j-j coupling scheme, we emphasize that the orbital fluctuation must develop in the vicinity of the NFL-FL boundary. We demonstrate a change of behavior in the f-electron entropy by the Wilson's numerical renormalization-group (NRG) method on the basis of the extended two-channel Kondo exchange model. We present implications to extensively investigated PrT2X20 (T=Ti, V, Ir; X=Al, Zn) systems that exhibit both quadrupole ordering and peculiar superconductivity. We also discuss the magnetic-field effect which lifts weakly the non-Kramers degeneracy. Our model also represents the FL state accompanied by a free magnetic spin as a consequence of stronger competition between the magnetic and the quadrupole Kondo effects.

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Resolution of Entropy \(\ln\sqrt{2}\) by Ordering in Two-Channel Kondo Lattice

Cited by 38 publications

References 30 publications

Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2

Translational Symmetry Breaking and Gapping of Heavy-Quasiparticle Pocket in URu2Si2

Mean-field description of odd-frequency superconductivity with staggered ordering vector

Competition between Quadrupole and Magnetic Kondo Effects in Non-Kramers Doublet Systems

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