Metamagnetic Quantum Criticality

Abstract

A renormalization group treatment of metamagnetic quantum criticality in metals is presented. In clean systems the universality class is found to be of the overdamped, conserving (dynamical exponent z=3) Ising type. Detailed results are obtained for the field and temperature dependence of physical quantities including the differential susceptibility, resistivity and specific heat near the transition. An application of the theory is made to Sr3Ru2O7, which appears to exhibit a metamagnetic critical end-point at a very low temperature and a field of order 5-7T.

4 pages latex (Revtex 4) and 3 eps figures

References in corpus (10)

• Onset of antiferromagnetism in heavy fermion metals
• How do Fermi liquids get heavy and die?
• Metamagnetism and critical fluctuations in high quality single crystals of the bilayer ruthenate Sr3Ru2O7
• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• The ground state of Sr3Ru2O7 revisited; Fermi liquid close to a ferromagnetic instability
• Nonanalytic behavior of the spin susceptibility in clean Fermi systems
• Electronic Structure and Fermiology of Sr${}_3$Ru${}_2$O${}_7$
• The First Temperature Corrections to the Fermi Liquid Fixed Point in Two Dimensions
• Leading Temperature Corrections to Fermi Liquid Theory in Two Dimensions
• Strong-coupling scenario of a metamagnetic transition

Cited by in corpus (124)

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• Metallic Quantum Ferromagnets
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
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• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Quantum Critical Behavior and Possible Triplet Superconductivity in Electron Doped CoO2 Sheets
• Ising nematic quantum critical point in a metal: a Monte Carlo study
• Angular dependence of the magnetic susceptibility in the itinerant metamagnet Sr3Ru2O7
• Microscopic theory of the nematic phase in Sr${}_3$Ru${}_2$O${}_7$
• Fermi surface and van Hove singularities in the itinerant metamagnet Sr3Ru2O7
• A Hierarchically-Organized Phase Diagram near a Quantum Critical Point in URu2Si2
• Itinerant metamagnetism induced by electronic nematic order
• Ferromagnetic Quantum Critical Endpoint in UCoAl
• Field tunable spin density wave phases in Sr3Ru2O7
• Multiple first-order metamagnetic transitions and quantum oscillations in ultrapure
• Evolution toward Quantum Critical End Point in UGe_2
• Quantum bicriticality in the heavy-fermion metamagnet YbAgGe
• Quantum and Topological Criticalities of Lifshitz Transition in Two-Dimensional Correlated Electron Systems
• Competing orders in M-theory: superfluids, stripes and metamagnetism
• Metamagnetism of itinerant electrons in multi-layer ruthenates
• Holographic Metamagnetism, Quantum Criticality, and Crossover Behavior
• Metamagnetic quantum criticality in Sr3Ru2O7 studied by thermal expansion
• Unconventional metamagnetic electron states in orbital band systems
• Re-entrant hidden order at a metamagnetic quantum critical end point
• Magnetic field-tuned quantum critical point in CeAuSb_2
• Heavy fermions in high magnetic field
• Magnetic-Field Control of Quantum Critical Points of Valence Transition
• Grüneisen parameter studies on heavy fermion quantum criticality
• Fluctuating Stripes in Strongly Correlated Electron Systems and the Nematic-Smectic Quantum Phase Transition
• Quantum criticality around metal-insulator transitions of strongly correlated electrons
• Spin Fluctuation Theory for Quantum Tricritical Point Arising in Proximity to First-Order Phase Transitions: Applications to Heavy-Fermion Systems, YbRh2Si2, CeRu2Si2, and beta-YbAlB4
• Valence Fluctuations Revealed by Magnetic Field Scan: Comparison with Experiments in YbXCu_4 (X=In, Ag, Cd) and CeYIn_5 (Y=Ir, Rh)
• Metamagnetism and Lifshitz Transitions in Models for Heavy Fermions
• Uniaxial-Pressure induced Ferromagnetism of Enhanced Paramagnetic Sr3Ru2O7
• Quantum Critical Paraelectrics and the Casimir Effect in Time
• Theory of the Strange Metal Sr${}_3$Ru${}_2$O${}_7$
• Van Hove singularity and spontaneous Fermi surface symmetry breaking in Sr3Ru2O7
• Metamagnetic Quantum Criticality Revealed by 17O-NMR in the Itinerant Metamagnet Sr3Ru2O7
• Universal signatures of the metamagnetic quantum critical endpoint: Application to CeRu2Si2
• The interplay between double exchange, super-exchange, and Lifshitz localization in doped manganites
• Pressure-tuned quantum criticality in the antiferromagnetic Kondo semi-metal CeNi${}_{2-\delta }$As${}_2$
• Phase Bifurcation and Quantum Fluctuations in Sr3Ru2O7
• Multiple regions of quantum criticality in YbAgGe
• Quantum phase transitions of magnetic rotons
• Local Tunneling Spectroscopy across a Metamagnetic Critical Point in the Bi-layer Ruthenate Sr3Ru2O7
• Spin Fluctuations and the Magnetic Phase Diagram of ZrZn2
• Magnetic Field Induced Quantum Criticality via new Asymptotically AdS_5 Solutions
• Quantum criticality and the formation of a putative electronic liquid crystal in Sr3Ru2O7
• YbRh2Si2: Quantum tricritical behavior in itinerant electron systems
• Quantum Metamagnetic Transitions Induced by Changes in Fermi-Surface Topology -Applications to a Weak Itinerant-Electron Ferromagnet;ZrZn_2
• Quantum critical metamagnetism of Sr3Ru2O7 under hydrostatic pressure
• Meta-orbital Transition in Heavy-fermion Systems: Analysis by Dynamical Mean Field Theory and Self-consistent Renormalization Theory of Orbital Fluctuations
• Unconventional Strong Spin-Fluctuation Effects around the Critical Pressure of the Itinerant Ising-Type Ferromagnet URhAl
• Unconventional quantum criticality emerging as a new common language of transition-metal compounds, heavy-fermion systems, and organic conductors
• Non-Fermi Liquid behavior in CeIrIn${}_5$ near a metamagnetic transition
• Quasiparticle Interference in the Unconventional Metamagnetic Compound Sr${}_3$Ru${}_2$O${}_7$
• Indication of Ferromagnetic Quantum Critical Point in Kondo Lattice CeRh${}_6$Ge${}_4$
• Some basic aspects of quantum phase transitions
• Self-generated locality near a ferromagnetic quantum-critical point
• Thermal conductivity in the vicinity of the quantum critical endpoint in Sr3Ru2O7
• Itinerant electron metamagnetism in LaCo${}_9$Si${}_4$
• Effect of magnetic field on spontaneous Fermi surface symmetry breaking
• Thermoelectric transport across the metamagnetic transition of CeRu2Si2
• Coexistence of ferromagnetism and superconductivity near quantum phase transition: The Heisenberg- to Ising-type crossover
• Multiple metamagnetic quantum criticality in Sr${}_3$Ru${}_2$O${}_7$
• Quantum critical end point of the Kondo volume collapse
• Strong Longitudinal Magnetic Fluctuations near Critical End Point in UCoAl: A ^59Co-NMR Study
• Lévy flights and hydrodynamic superdiffusion on the Dirac cone of Graphene
• On the residual resistivity near a two dimensional metamagnetic quantum critical point
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• Nematic domains and resistivity in an itinerant metamagnet coupled to a lattice
• Magnetic domain formation in itinerant metamagnets
• Temperature dependent bilayer ferromagnetism in Sr3Ru2O7
• Pressure Induced Quantum Phase Transitions
• Itinerancy and Hidden Order in $UR{u}_{2}S{i}_2$
• Quantum critical 5f-electrons avoid singularities in U(Ru,Rh)2Si2
• Magnetic field driven quantum criticality in antiferromagnetic CePtIn4
• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• Investigation into the Itinerant metamagnetism of Sr3Ru2O7 for the Field Parallel to the Ruthenium Oxygen Planes
• Quantum Criticality via Magnetic Branes
• Finite temperature crossovers near quantum tricritical points in metals
• Renormalized phi^6 model for quantum phase transitions in systems of itinerant fermions
• Unusual metamagnetism in CeIrIn${}_5$
• Quasiparticles of strongly correlated Fermi liquids at high temperatures and in high magnetic fields
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• Quantum criticality in itinerant metamagnets
• Low temperature thermodynamic investigation of the phase diagram of Sr${}_3$Ru${}_2$O${}_7$
• Classification of materials with divergent magnetic Grüneisen parameter
• Magnetism in Na-filled Fe-based skutterudites
• Anomalous itinerant magnetism in single crystal Sr4Ru3O10: A thermodynamic and transport investigation
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• Strain-tunable metamagnetic critical endpoint in Mott insulating rare-earth titanates
• Constraints on the merging of the transition lines at the tricritical point in a wing-structure phase diagram
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• Probing the d_{x2-y2}-wave Pomeranchuk instability by ultrasound
• Signatures of a Quantum Critical Endpoint in the Kitaev Candidate Na${}_2$Co${}_2$TeO${}_6$
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• Reinforcement of superconductivity by quantum critical fluctuations of metamagnetism in UTe${}_2$
• Fermion Condensation Quantum Phase Transition versus Conventional Quantum Phase Transitions
• Flat Bands and Enigma of Metamagnetic Quantum Critical Regime in Sr3Ru2O7
• Mean-field theory on a coupled system of ferromagnetism and electronic nematic order
• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• Microscopic Theory of the Thermodynamic Properties of Sr${}_3$Ru${}_2$O${}_7$
• Holographic Lifshitz flows
• Probing three-state Potts nematic fluctuations by ultrasound attenuation
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• Finite temperature effects in quantum systems with competing scalar orders
• Orbital Properties of Sr3Ru2O7 and Related Ruthenates Probed by 17O-NMR
• Dramatic elastic response at the critical end point in UTe${}_2$
• The quantum ferromagnetic transition in a clean Kondo lattice is discontinuous
• Precursor to Quantum Criticality in Ce-Au-Al Quasicrystal Approximants
• Ferromagnetic and metamagnetic transitions in itinerant electron systems: a microscopic study
• Feasibility of a metamagnetic transition in correlated systems
• Fermi liquid behaviour in weakly disordered metals close to a quantum critical point
• Role of domain wall fluctuations in non-Fermi liquid behavior of metamagnets