Quantum phase transitions in antiferromagnets and superfluids

Abstract

We present a general introduction to the non-zero temperature dynamic and transport properties of low-dimensional systems near a quantum phase transition. Basic results are reviewed in the context of experiments on the spin-ladder compounds, insulating two-dimensional antiferromagnets, and double-layer quantum Hall systems. Recent large N computations on an extended t-J model (cond-mat/9906104) motivate a global scenario of the quantum phases and transitions in the high temperature superconductors, and connections are made to numerous experiments.

11 pages; half-plenary talk at LT22, Helsinki

References in corpus (27)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
• Non-zero temperature transport near quantum critical points
• Universal quantum critical dynamics of two-dimensional antiferromagnets
• Cu-63 NQR Measurement of Stripe Order Parameter in La(2-x)Sr(x)CuO(4)
• Dimer Order with Striped Correlations in the J_1-J_2 Heisenberg Model
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• Nodal Liquid Theory of the Pseudo-Gap Phase of High-Tc Superconductors
• Spin dynamics and transport in gapped one-dimensional Heisenberg antiferromagnets at nonzero temperatures
• Superconductivity-Induced Anomalies in the Spin Excitation Spectra of Underdoped YBa_2 Cu_3 O_{6+x}
• Universal Magnetic Properties of $L{a}_{2-\delta }S{r}_{\delta }Cu{O}_4$ at Intermediate Temperatures
• Low temperature spin diffusion in the one-dimensional quantum $O(3)$ nonlinear $\sigma$-model
• Phase Transition in ν=2 Bilayer Quantum Hall State
• Double-layer quantum Hall antiferromagnetism at filling fraction nu=2/(odd integer)
• Spin-Excitation-Instability-Induced Quantum Phase Transitions in Double-Layer Quantum Hall Systems
• Universal relaxational dynamics near two-dimensional quantum-critical points
• Canted antiferromagnetic and spin singlet quantum Hall states in double-layer systems
• Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
• Broken Symmetry Ground States in ν=2 Bilayer Quantum Hall Systems
• Spin Bose Glass Phase in Bilayer Quantum Hall Systems at $\nu =2$
• Electromodulation of the bilayer $\nu$=2 quantum Hall phase diagram
• Spin-Pseudospin Coherence and CP${}^3$ Skyrmions in Bilayer Quantum Hall Ferromagnets
• Quantum magnetism in the stripe phase: bond- versus site order
• Phase diagram of disordered spin-Peierls systems
• Universal critical temperature for Kosterlitz-Thouless transitions in bilayer quantum magnets
• Enhanced magnetic fluctuations in doped spin-Peierls systems: a single-chain model analysis
• Nuclear spin-spin coupling in La_{2-x}Sr_{x}CuO_{4} studied by stimulated echo decay

Cited by in corpus (12)

• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Bond operator theory of doped antiferromagnets: from Mott insulators with bond-centered charge order, to superconductors with nodal fermions
• Dispersion of the neutron resonance in cuprate superconductors
• Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
• Spontaneous dimer order, excitation spectrum, and quantum phase transitions in the J1-J2 Heisenberg model
• Phenomenology of a First Order Dark State Phase Transition
• Accurate Results from Perturbation Theory for Strongly Frustrated $S=1/2$ Heisenberg Spin Clusters
• Quantum phase transitions in two-dimensional systems
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Extended strange metal regime from superconducting puddles
• Spin and charge order in Mott insulators and d-wave superconductors
• Adiabatic freezing of entanglement with insertion of defects in a one-dimensional Hubbard model