Mean-field theory of spin-liquid states with finite energy gap and topological orders. Kagome and triangular lattice Heisenberg antiferromagnets: ordering from quantum fluctuations and quantum-disordered ground states with deconfined bosonic spinons. Large N expansion for frustrated quantum antiferromagnets. Quantum criticality beyond the Landau–Ginzburg–Wilson paradigm. Senthil, T., Balents, L., Sachdev, S, Vishwanath, A. O(3) Nonlinear σ model and the topological distinction between integer- and half-integer-spin antiferromagnets in two dimensions. Gauge Fields and Strings (Harwood Academic, New York, 1987). Short range resonating valence bond theories and superconductivity. Emergent photons and transitions in the O(3) sigma model with hedgehog suppression. ![]() 62, 1694–1697 (1989) ibid Spin-Peierls, valence-bond solid, and Néel ground-states of low-dimensional quantum antiferromagnets. ![]() Valence bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets. Two-dimensional quantum XY model with ring exchange and external field. From an antiferromagnet to a valence bond solid: Evidence for a first order phase transition. Jiang, F.-J., Nyfeler, M., Chandrasekharan, S. Universal scaling in the fan of an unconventional quantum critical point. Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions. Large N expansion for frustrated and doped quantum antiferromagnets. Superconducting d-wave stripes in cuprates: Valence bond order coexisting with nodal quasiparticles. Unidirectional d-wave superconducting domains in the two-dimensional t- J model. Raczkowski, M., Capello, M., Poilblanc, D., Frésard, R. An intrinsic bond-centered electronic glass with unidirectional domains in underdoped cuprates. Quantum-spin-liquid states in the two-dimensional kagome antiferromagnets Zn xCu4− x(OD)6Cl2. Frustration-induced valence-bond ordering in a new quantum triangular antiferromagnet based on. Mesoscopic phase coherence in a quantum spin fluid. Magnetic excitations in the quantum spin system TlCuCl3. Magnetic-field-induced condensation of triplons in Han purple pigment BaCuSi2O6. Bose–Einstein condensation of the triplet states in the magnetic insulator TlCuCl3. Neutron diffraction study of the pressure-induced magnetic ordering in the spin gap system TlCuCl3. Oosawa, A., Fujisawa, M., Osakabe, T., Kakurai, K. Universal magnetic properties of frustrated quantum antiferromagnets in two dimensions. Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice. Extended scattering continua characteristic of spin fractionalization in the two-dimensional frustrated quantum magnet Cs2CuCl4 observed by neutron scattering. Theory of two-dimensional quantum antiferromagnets with a nearly-critical ground state. Two-dimensional quantum Heisenberg antiferromagnet at low temperatures. Ground-state phase diagram of quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice. ![]() Can quantum mechanical description of physical reality be considered complete? Phys. PRD is a non-local theory that allows fields to depend on space, time and an invariant evolution parameter.Einstein, A., Podolsky, B. A local theory does not allow the existence of greater than light speed correlations, while a non-local theory does. ![]() Locality and non-locality refer to the correlation of particles with space-like separation. The anomalies include neutrino oscillations, non-locality, and gravity.The two key QFT assumptions that are altered in PRD are the following: fields depend on space and time and interactions between fields are local. Despite its record of success, some phenomena are anomalies that may require a modification of the Standard Model. QFT has been very successful at explaining physical observations and is the basis of the conventional paradigm, which includes the Standard Model of electroweak and strong interactions. The study of parameterized relativistic dynamics (PRD) helps us understand the consequences of changing key assumptions of quantum field theory (QFT). Manifestly covariant quantum theory with invariant evolution parameter is a parametrized relativistic dynamical theory.
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