Quantum Phase Transitions and Conserved Charges

Abstract

The constraints on the scaling properties of conserved charge densities in the vicinity of a zero temperature ($T$), second-order quantum phase transition are studied. We introduce a generalized Wilson ratio, characterizing the non-linear response to an external field, $H$, coupling to any conserved charge, and argue that it is a completely universal function of $H/T$: this is illustrated by computations on model systems. We also note implications for transitions where the order parameter is a conserved charge (as in a $T=0$ ferromagnet-paramagnet transition).

19 pages, REVTEX 3.0, 8 uuencoded Postscript figues appended, YCTP-xxxx

References in corpus (4)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Polylogarithm Identities in a Conformal Field Theory in Three Dimensions

Cited by in corpus (53)

• Continuous Quantum Phase Transitions
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Onset of antiferromagnetism in heavy fermion metals
• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Holographic quantum matter
• Quantum Criticality without Tuning in the Mixed Valence Compound beta-YbAlB4
• Landau theory of quantum spin glasses of rotors and Ising spins
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Quantum impurity dynamics in two-dimensional antiferromagnets and superconductors
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• Double-layer quantum Hall antiferromagnetism at filling fraction nu=2/(odd integer)
• Scaling theory of the cuprate strange metals
• Canted antiferromagnetic and spin singlet quantum Hall states in double-layer systems
• Theory of finite temperature crossovers near quantum critical points close to, or above, their upper-critical dimension
• Continuum quantum ferromagnets at finite temperature and the Quantum Hall effect
• Quantum critical behavior of disordered itinerant ferromagnets
• Specific Heat of a Three Dimensional Metal Near a T=0 Magnetic Transition with Dynamic Exponent z=2,3,4
• Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
• Quantum field theory of metallic spin glasses
• Local field theory for disordered itinerant quantum ferromagnets
• Quantum critical behavior of clean itinerant ferromagnets
• Techniques to measure quantum criticality in cold atoms
• Exact Three Dimensional Casimir Force Amplitude, $C$-function and Binder's Cumulant Ratio: Spherical Model Results
• Magnetic phases of the mixed-spin $J_1-J_2$ Heisenberg model on a square lattice
• Conserved current correlators of conformal field theories in 2+1 dimensions
• Universal critical temperature for Kosterlitz-Thouless transitions in bilayer quantum magnets
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• On the Critical Behavior of the Uniform Susceptibility of a Fermi Liquid Near an Antiferromagnetic Transition with Dynamic Exponent $z=2$
• Theory of a spherical quantum rotors model: low--temperature regime and finite-size scaling
• Quantum Spin Glasses
• Berezinskii-Kosterlitz-Thouless transition and BCS-Bose crossover in the two-dimensional attractive Hubbard model
• Thermodynamics of a Bose gas near the superfluid--Mott-insulator transition
• Breakdown of Landau-Ginzburg-Wilson theory for certain quantum phase transitions
• Anderson-Mott transition as a quantum glass problem
• Universality in Heavy Fermions Revisited
• Quantum phase transitions in a pseudogap Anderson-Holstein model
• Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
• Holographic subdiffusion
• Renormalization group in quantum critical theories with Harris-marginal disorder
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling
• Quantum critical behavior of itinerant ferromagnets
• Quantum ferromagnetic transition in disordered itinerant electron systems
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• Quasielastic neutron scattering from two dimensional antiferromagnets at a finite temperature
• Universality class of quantum criticality in the two-dimensional Hubbard model at intermediate temperatures ($t^2/U\ll T\ll t$)
• Field induced non-BEC transitions in frustrated magnets
• Finite size and temperature effects in the $J_1-J_2$ model on a strip
• Investigating field-induced magnetic order in Han Purple by neutron scattering up to 25.9 T
• Quantum spin glass transition in the two-dimensional electron gas
• Quantum Metal--Superconductor Transition: A Local Field Theory Approach
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Dynamics and transport near quantum-critical points
• Dzyaloshinskii-Moriya anisotropy effect on field-induced magnon condensation in kagome antiferromagnet $\alpha -C{u}_{3}Mg(OH{)}_{6}B{r}_2$