J{sub 1}-J{sub 2} Heisenberg model at and close to its z=4 quantum critical point

Journal Article · Sat Oct 01 00:00:00 EDT 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.84.144403· OSTI ID:21596896

Sirker, J ^[1]; Krivnov, V Y; Dmitriev, D V ^[2]; Herzog, A ^[1]; Janson, O ^[3]; Nishimoto, S; Drechsler, S -L ^[4]; Richter, J ^[5]

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1. Department of Physics, Technical University Kaiserslautern, D-67663 Kaiserslautern (Germany)
2. Joint Institution of Chemical Physics of RAS, Kosygin Strasse 4, 119334 Moscow (Russian Federation)
3. Max Planck Institute for Chemical Physics of Solids, Noethnitzer Str. 40, D-01187 Dresden (Germany)
4. IFW Dresden, P.O. Box 270116, D-01171 Dresden (Germany)
5. Institut fuer Theoretische Physik, Universitaet Magdeburg, P.O. Box 4120, D-39016 Magdeburg (Germany)

We study the frustrated J{sub 1}-J{sub 2} Heisenberg model with ferromagnetic nearest-neighbor coupling J{sub 1}<0 and antiferromagnetic next-nearest-neighbor coupling J{sub 2}>0 at and close to the z=4 quantum critical point (QCP) at J{sub 1}/J{sub 2}=-4. The J{sub 1}-J{sub 2} model plays an important role for recently synthesized chain cuprates as well as in supersymmetric Yang-Mills theories. We study the thermodynamic properties using field theory, a modified spin-wave theory, as well as numerical density-matrix renormalization group calculations. Furthermore, we compare with results for the classical model obtained by analytical methods and Monte Carlo simulations. As one of our main results, we present numerical evidence that the susceptibility at the QCP seems to diverge with temperature T as {chi}{approx}T{sup -1.2} in the quantum case, in contrast to the classical model where {chi}{approx}T{sup -4/3}.

• OSTI ID: 21596896
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 84, Issue 14; Other Information: DOI: 10.1103/PhysRevB.84.144403; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIFERROMAGNETISM
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
COUPLING
CUPRATES
DENSITY MATRIX
FIELD THEORIES
HEISENBERG MODEL
MONTE CARLO METHOD
RENORMALIZATION
SPIN WAVES
SUPERSYMMETRY
THERMODYNAMIC PROPERTIES
YANG-MILLS THEORY
CALCULATION METHODS
COPPER COMPOUNDS
CRYSTAL MODELS
EVALUATION
MAGNETISM
MATHEMATICAL MODELS
MATRICES
OXYGEN COMPOUNDS
PHYSICAL PROPERTIES
SIMULATION
SYMMETRY
TRANSITION ELEMENT COMPOUNDS