8 papers
Optimal Novikov-type criteria for local martingales with jumps
Alexander Sokol
We consider local martingales with jumps larger than for some larger than or equal to -1, and prove Novikov-type criteria for the corresponding exponential local martin…
Isotropic Spin Wave Theory of Short-Range Magnetic Order
Alexander Sokol, Rajiv R. P. Singh, Norbert Elstner
We present an isotropic spin wave (ISW) theory of short-range order in Heisenberg magnets, and apply it to square lattice S=1/2 and S=1 antiferromagnets. Our theory has three ident…
Spin Dependence of Correlations in Two-Dimensional Quantum Heisenberg Antiferromagnets
N. Elstner, A. Sokol, R. R. P. Singh +2
We present a series expansion study of spin-S square-lattice Heisenberg antiferromagnets. The numerical data are in excellent agreement with recent neutron scattering measurements.…
Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
Subir Sachdev, Andrey V. Chubukov, Alexander Sokol
We consider two-dimensional Fermi liquids in the vicinity of a quantum transition to a phase with commensurate, antiferromagnetic long-range order. Depending upon the Fermi surface…
Scaling Regimes, Crossovers, and Lattice Corrections in 2D Heisenberg Antiferromagnets
N. Elstner, R. L. Glenister, R. R. P. Singh +1
We study scaling behavior in 2D, S=1/2 and S=1 Heisenberg antiferromagnets using the data on full q-dependences of the equal time structure factor and the static susceptibility, ca…
Universal Behavior of the Spin-Echo Decay Rate in La_2CuO_4
A. V. Chubukov, S. Sachdev, A. Sokol
We present a theoretical expression for the spin-echo decay rate, 1/T_2G, in the quantum-critical regime of square lattice quantum antiferromagnets. Our results are in good agreeme…