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We calculate the spin stiffness $\rho_s$ for the frustrated spin-$\frac{1}{2}$ Heisenberg antiferromagnet on a square lattice by exact diagonalizations on finite clusters of up to $36$ sites followed by extrapolations to the thermodynamic…

Condensed Matter · Physics 2009-10-22 T. Einarsson , H. J. Schulz

The spin-stiffness of frustrated spin-1/2 Heisenberg models in one and two dimensions is computed for the first time by exact diagonalizations on small clusters that implement spin-dependent twisted boundary conditions. Finite-size…

Condensed Matter · Physics 2009-10-22 J. Bonca , J. P. Rodriguez , J. Ferrer , K. S. Bedell

We analyze the frustrated Heisenberg antiferromagnet defined on a honeycomb lattice using a Schwinger-boson mean-field theory. The spin-wave velocity and the susceptibility are presented as functions of the strength of the frustrating…

Condensed Matter · Physics 2009-10-22 Ann Mattsson , Per Fröjdh , Torbjörn Einarsson

We investigate the properties of S=1/2 Heisenberg clusters with random frustration using exact diagonalizations. This is a model for a quantum spin glass. We show that the average ground state spin is $S \propto \sqrt{N}$, where N is the…

Strongly Correlated Electrons · Physics 2009-02-12 J. Oitmaa , O. P. Sushkov

We compute, within the Schwinger-boson scheme, the Gaussian-fluctuation corrections to the order-parameter stiffness of two frustrated quantum spin systems: the triangular-lattice Heisenberg antiferromagnet and the J1-J2 model on the square…

Statistical Mechanics · Physics 2009-10-30 L. O. Manuel , A. E. Trumper , H. A. Ceccatto

Motivated by the discovery of spiral and modulated collinear phases in several magnetic materials, we investigate the magnetic properties of Heisenberg spin S=1/2 antiferromagnets in 2 and 3 dimensions, with frustration arising from…

Strongly Correlated Electrons · Physics 2016-12-26 Jaan Oitmaa , Rajiv R. P. Singh

We analyze the suppression of the phase stiffness in a superconductor by antiferromagnetic order. The analysis is based on a general expression for the phase stiffness in a mean-field state with coexisting spin-singlet superconductivity and…

Superconductivity · Physics 2019-07-10 Walter Metzner , Hiroyuki Yamase

We use Schwinger boson mean field theory to study the antiferromagnetic spin-1/2 Heisenberg model on an anisotropic triangular lattice in the presence of a uniform external magnetic field. We calculate the field dependence of the spin…

Strongly Correlated Electrons · Physics 2009-11-07 S. Q. Shen , F. C. Zhang

We analyze the density dependence of the spin stiffnesses and the stability of magnetic order with respect to quantum fluctuations in the two-dimensional Hubbard model close to half-filling. The stiffnesses are computed from the spin…

Strongly Correlated Electrons · Physics 2025-05-28 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

We study the finite size scaling of the spin stiffness for the one-dimensional s=1/2 quantum antiferromagnet as a function of the anisotropy parameter Delta.Previous Bethe ansatz results allow a determination of the stiffness in the…

Strongly Correlated Electrons · Physics 2017-01-31 Nicolas Laflorencie , Sylvain Capponi , Erik S. Sorensen

The one dimensional spin-1/2 Heisenberg antiferromagnet in a weak magnetic field h is studied using the bosonization method. We derive a set of renormalization group equations. The fixed point is reached when the field is scaled to the…

Strongly Correlated Electrons · Physics 2009-10-31 Ping Sun , D. Schmeltzer

The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed matter physics. We explore the possibility in a realistic model for several materials, the spin-1/2 spatially anisotropic…

Strongly Correlated Electrons · Physics 2009-03-23 Masanori Kohno , Oleg A. Starykh , Leon Balents

We review ground states and excitations of a quantum antiferromagnet on triangular and other frustrated lattices. We pay special attention to the combined effects of magnetic field h, spatial anisotropy R, and spin magnitude S. The focus of…

Strongly Correlated Electrons · Physics 2015-04-22 Oleg A. Starykh

We study the spin stiffness of a one-dimensional quantum antiferromagnet in the whole range of system sizes $L$ and temperatures $T$. We show that for integer and half-odd integer spin case the stiffness differs fundamentally in its $L$ and…

Condensed Matter · Physics 2009-10-22 Daniel Loss , Dmitrii L. Maslov

We have analyzed the two-dimensional antiferromagnetic Heisenberg model on the triangular lattice using a Schwinger boson mean-field theory. By expanding around a state with local $120^\circ$ order, we obtain, in the limit of infinite spin,…

Condensed Matter · Physics 2016-08-31 Ann Mattsson

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

We propose a novel two-dimensional (2D)frustrated quantum spin-1/2 anisotropic Heisenberg model with alternating ferromagnetic and antiferromagnetic magnetic chains along one direction and antiferromagnetic interactions along the other. The…

Strongly Correlated Electrons · Physics 2021-01-20 Kingshuk Majumdar , Subhendra D. Mahanti

We predict that an external field can induce a spin order in highly frustrated classical Heisenberg magnets. We find analytically stabilization of collinear states by thermal fluctuations at a one-third of the saturation field for kagome…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky , A. Honecker , O. A. Petrenko

The effects of quantum fluctuations due to directional anisotropy and frustration between nearest neighbors and next-nearest neighbors of the quantum spin-1/2 Heisenberg antiferromagnet on a square lattice are investigated using spin-wave…

Strongly Correlated Electrons · Physics 2010-10-06 Kingshuk Majumdar

Large spin systems can exhibit unconventional types of magnetic ordering different from the ferromagnetic or N\'eel-like antiferromagnetic order commonly found in spin 1/2 systems. Spin-nematic phases, for instance, do not break…

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