Weak magnetism and non-Fermi liquids near heavy-fermion critical points

Senthil, T.; Vojta, Matthias; Sachdev, Subir

doi:10.1103/physrevb.69.035111

Cited by 544 publications

(813 citation statements)

References 53 publications

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“…Previous tractable examples of phase transitions where the electron Fermi surface is critically destroyed include the Kondo breakdown transition in Kondo-Heisenberg models 10,11,14 , and Mott metal-insulator transitions between a Fermi liquid and a spin liquid 15,16 . In all these prior examples the critical theory is characterized by the appearance of an emergent gapless U (1) gauge field that couples to a Fermi surface and other gapless excitations.…”

Section: Pacs Numbersmentioning

confidence: 99%

Orthogonal metals: The simplest non-Fermi liquids

2012

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We present a fractionalized metallic phase which is indistinguishable from the Fermi liquid in conductivity and thermodynamics, but is sharply distinct in one electron properties, such as the electron spectral function. We dub this phase the 'Orthogonal Metal.' The Orthogonal Metal and the transition to it from the Fermi liquid are naturally described using a slave particle representation wherein the electron is expressed as a product of a fermion and a slave Ising spin. We emphasize that when the slave spins are disordered the result is not a Mott insulator (as erroneously assumed in the prior literature) but rather the Orthogonal Metal. We construct prototypical ground state wavefunctions for the Orthogonal Metal by modifying the Jastrow factor of Slater-Jastrow wavefunctions that describe ordinary Fermi liquids. We further demonstrate that the transition from the Fermi liquid to the Orthogonal Metal can, in some circumstances, provide a simple example of a continuous destruction of a Fermi surface with a critical Fermi surface appearing right at the critical point. We present exactly soluble models that realize an Orthogonal Metal phase, and the phase transition to the Fermi liquid. These models thus provide valuable solvable examples for phase transitions associated with the death of a Fermi surface.

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Section: Pacs Numbersmentioning

confidence: 99%

Orthogonal metals: The simplest non-Fermi liquids

2012

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“…Quasiparticles are appropriate excitations to describe its low temperature thermodynamic properties. The inability of the LFL theory to explain the experimental observations which point to the dependence of quasiparticle effective mass M * on temperature T and applied magnetic field H may lead to the conclusion that Landau paradigm related to the quasiparticles and order parameter fail to explain the experimental facts on the NFL behavior of strongly correlated electrons [2,3]. However, other experimental facts show that quasiparticles do exist near CQP [4,5,6] while M * depends strongly on magnetic field and temperature [7].…”

Section: Introductionmentioning

confidence: 99%

Asymmetric tunneling, Andreev reflection and dynamic conductance spectra in strongly correlated metals

Shaginyan

Попов

2007

Physics Letters A

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Landau Fermi liquid theory predicts that the differential conductivity between metallic point and metal is a symmetric function of voltage bias V . This symmetry holds if the particle-hole symmetry is preserved. We show that the situation can be different when one of the two metals is a strongly correlated one whose electronic system can be represented by a heavy fermion liquid. When the heavy fermion liquid undergoes fermion condensation quantum phase transition, the particle-hole symmetry is violated making both the differential tunneling conductivity and dynamic conductance asymmetric as a function of applied voltage. This asymmetry can be observed when the strongly correlated metal is either normal or superconducting. We show that at small values of V the asymmetric part of the dynamic conductance is a linear function of V and inversely proportional to the maximum value of the gap and does not depend on temperature provided that metal is superconducting, when it becomes normal the asymmetric part diminishes at elevated temperatures.

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“…Such ground states realize a fractionalized Fermi liquid. 13,14 Our starting point is the spinon-dopon formulation of the t-J model developed by Ribeiro and Wen. 20 In this representation the elementary excitations are spinons, which carry spin-1/2 but no charge, and dopons, which carry spin-1/2 and charge.…”

Section: Modelmentioning

confidence: 99%

“…10,11 In fact, many of the unresolved theoretical problems in strongly correlated electron materials, from heavy-Fermion compounds to high-T c cuprates, are related to the fate of electronic excitations close to antiferromagnetic quantum critical points. 12 It has been been argued, however, that the critical point between a metal with a large Fermi surface and an antiferromagnetic metal with small Fermi pockets may be replaced by a new intermediate phase, the so called fractionalized Fermi liquid (FL*) 13,14 , which exhibits small pockets similar to the antiferromagnetic metal, but breaks no symmetries: summaries of these arguments, and of previous theoretical work, can be found in two recent reviews. 15,16 The simplest picture of the FL* phase appears in the context of Kondo lattice models coupling a lattice of localized f moments and a conduction band of itinerant c electrons.…”

Section: Introductionmentioning

confidence: 99%

“…Then the f moments may form a spin liquid, which does not break any symmetries of the lattice Hamiltonian. The formation of the spin liquid also quenches the Kondo effect, and so the effective value of J K does not renormalize to infinity as it does in the single impurity Kondo model 13,14,17 . The c electrons are now only weakly coupled to the f spin liquid, and so the c electrons form a "small" Fermi surface which encloses a volume controlled only by the density of c electrons, which violates the traditional Luttinger count.…”

Section: Introductionmentioning

confidence: 99%

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Fermi surface reconstruction in hole-dopedt−Jmodels without long-range antiferromagnetic order

Punk

Sachdev

2012

Phys. Rev. B

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We calculate the Fermi surface of electrons in hole-doped, extended t-J models on a square lattice in a regime where no long-range antiferromagnetic order is present, and no symmetries are broken. Using the "spinon-dopon" formalism of Ribeiro and Wen, we show that short-range antiferromagnetic correlations lead to a reconstruction of the Fermi surface into hole pockets which are not necessarily centered at the antiferromagnetic Brillouin zone boundary. The Brillouin zone area enclosed by the Fermi surface is proportional to the density of dopants away from half-filling, in contrast to the conventional Luttinger theorem which counts the total electron density. This state realizes a "fractionalized Fermi liquid" (FL*), which has been proposed as a possible ground-state of the underdoped cuprates; we note connections to recent experiments. We also discuss the quantum phase transition from the FL* state to the Fermi liquid state with long-range antiferromagnetic order.

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Weak magnetism and non-Fermi liquids near heavy-fermion critical points

Cited by 544 publications

References 53 publications

Orthogonal metals: The simplest non-Fermi liquids

Orthogonal metals: The simplest non-Fermi liquids

Asymmetric tunneling, Andreev reflection and dynamic conductance spectra in strongly correlated metals

Fermi surface reconstruction in hole-dopedt−Jmodels without long-range antiferromagnetic order

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