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      Quantum criticality with a twist - interplay of correlations and Kohn anomalies in three dimensions

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          Abstract

          We study the phase diagram and quantum critical behavior of the three-dimensional Hubbard model away from half filling by means of the dynamical vertex approximation. This approach yields a suppression of the N\'eel temperature in comparison to the purely local description of dynamical mean-field theory and a transition from commensurate to incommensurate ordering. The critical exponents at the quantum critical point are completely different from those of the standard Hertz-Millis-Moriya theory and are controlled by the Kohn points of the Fermi surface, even if electronic correlations are strong.

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          Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy

          H. Mayaffre, D. A. Bonn, T Wu … (2011)
          Electronic charges introduced in copper-oxide planes generate high-transition temperature superconductivity but, under special circumstances, they can also order into filaments called stripes. Whether an underlying tendency of charges to order is present in all cuprates and whether this has any relationship with superconductivity are, however, two highly controversial issues. In order to uncover underlying electronic orders, magnetic fields strong enough to destabilise superconductivity can be used. Such experiments, including quantum oscillations in YBa2Cu3Oy (a notoriously clean cuprate where charge order is not observed) have suggested that superconductivity competes with spin, rather than charge, order. Here, using nuclear magnetic resonance, we demonstrate that high magnetic fields actually induce charge order, without spin order, in the CuO2 planes of YBa2Cu3Oy. The observed static, unidirectional, modulation of the charge density breaks translational symmetry, thus explaining quantum oscillation results, and we argue that it is most likely the same 4a-periodic modulation as in stripe-ordered cuprates. The discovery that it develops only when superconductivity fades away and near the same 1/8th hole doping as in La2-xBaxCuO4 suggests that charge order, although visibly pinned by CuO chains in YBa2Cu3Oy, is an intrinsic propensity of the superconducting planes of high Tc cuprates.
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            Locally critical quantum phase transitions in strongly correlated metals

            Kevin Ingersent, Silvio Rabello, Qimiao Si … (2000)
            When a metal undergoes a continuous quantum phase transition, non-Fermi liquid behaviour arises near the critical point. It is standard to assume that all low-energy degrees of freedom induced by quantum criticality are spatially extended, corresponding to long-wavelength fluctuations of the order parameter. However, this picture has been contradicted by recent experiments on a prototype system: heavy fermion metals at a zero-temperature magnetic transition. In particular, neutron scattering from CeCu\(_{6-x}\)Au\(_x\) has revealed anomalous dynamics at atomic length scales, leading to much debate as to the fate of the local moments in the quantum-critical regime. Here we report our theoretical finding of a locally critical quantum phase transition in a model of heavy fermions. The dynamics at the critical point are in agreement with experiment. We also argue that local criticality is a phenomenon of general relevance to strongly correlated metals, including doped Mott insulators.
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              The break up of heavy electrons at a quantum critical point

              F Steglich, P. Coleman, J. Custers … (2003)
              The point at absolute zero where matter becomes unstable to new forms of order is called a quantum critical point (QCP). The quantum fluctuations between order and disorder that develop at this point induce profound transformations in the finite temperature electronic properties of the material. Magnetic fields are ideal for tuning a material as close as possible to a QCP, where the most intense effects of criticality can be studied. A previous study on theheavy-electron material \(YbRh_2Si_2\) found that near a field-induced quantum critical point electrons move ever more slowly and scatter off one-another with ever increasing probability, as indicated by a divergence to infinity of the electron effective mass and cross-section. These studies could not shed light on whether these properties were an artifact of the applied field, or a more general feature of field-free QCPs. Here we report that when Germanium-doped \(YbRh_2Si_2\) is tuned away from a chemically induced quantum critical point by magnetic fields there is a universal behavior in the temperature dependence of the specific heat and resistivity: the characteristic kinetic energy of electrons is directly proportional to the strength of the applied field. We infer that all ballistic motion of electrons vanishes at a QCP, forming a new class of conductor in which individual electrons decay into collective current carrying motions of the electron fluid.
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                Author and article information

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                Publication date Created: 2016-05-20
                Article
                ArXiV ID: 1605.06355
                SO-VID: 6c7120d3-9fbb-44f7-99cd-32366bc71c6c
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Comments 11 pages, 4 figures
                Categories cond-mat.str-el

                ScienceOpen disciplines: Condensed matter
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                ScienceOpen disciplines: Condensed matter

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