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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 calculate the spin stiffness of the S=1/2 frustrated Heisenberg antiferromagnet directly from a general formula which is evaluated in the Schwinger boson mean-field approximation. Both N\'eel and collinear ordering are considered. For…

Statistical Mechanics · Physics 2016-08-31 M. S. L. du Croo de Jongh , P. J. H. Denteneer

The phase transition in frustrated spin systems is a fascinated subject in statistical physics. We show the result obtained by the Wang-Landau flat histogram Monte Carlo simulation on the phase transition in the fully frustrated simple…

Statistical Mechanics · Physics 2010-12-21 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

Strongly Correlated Electrons · Physics 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

Exact diagonalization of finite spin-1/2 chains with periodic boundary conditions is applied to the ground state (gs) of chains with ferromagnetic (F) exchange $J_1 < 0$between first neighbors, antiferromagnetic (AF) exchange $J_2 = \alpha…

Strongly Correlated Electrons · Physics 2012-05-15 Manoranjan Kumar , Zoltán G. Soos

We investigate the quantum phases of a frustrated antiferromagnetic Heisenberg spin-1/2 model Hamiltonian on a Kagome-strip chain (KSC), a one-dimensional analogue of the Kagome lattice, and construct its phase diagram in an extended…

Strongly Correlated Electrons · Physics 2024-09-20 Sayan Ghosh , Rajiv R. P. Singh , Manoranjan Kumar

We study spin-$1/2$ chains with long-range power-law decaying unfrustrated (bipartite) Heisenberg exchange $J_r \propto r^{-\alpha}$ and multi-spin interactions $Q$ favoring a valence-bond solid (VBS) ground state. Employing quantum Monte…

Computational Physics · Physics 2020-01-13 Sibin Yang , Dao-Xin Yao , Anders W. Sandvik

We propose a universal non-linear sigma model field theory for one dimensional frustrated ferromagnets, which applies in the vicinity of a "quantum Lifshitz point", at which the ferromagnetic state develops a spin wave instability. We…

Strongly Correlated Electrons · Physics 2016-04-29 Leon Balents , Oleg A. Starykh

The topological classification of a series of frustration-induced spin-gap phases in the spin-1/2 ferromagnetic--antiferromagnetic alternating Heisenberg chain with next-nearest-neighbour interaction reported in J. Phys. Soc. Jpn. 82,…

Strongly Correlated Electrons · Physics 2016-01-11 Kazuo Hida

We study the spin $S=1$ Heisenberg chain, with nearest neighbor, next nearest neighbor ($\alpha$) and biquadratic ($\beta$) interactions using a combination of the density matrix renormalization group (DMRG), an analytic variational matrix…

Strongly Correlated Electrons · Physics 2015-01-28 J. H. Pixley , Aditya Shashi , Andriy H. Nevidomskyy

Dynamical properties of an impurity spin coupled symmetrically to sublattices of ordered 2D Heisenberg quantum antiferromagnet (i.e., frustrated impurity spin) are discussed at $T\ge0$ (existence of a small interaction stabilizing the long…

Strongly Correlated Electrons · Physics 2007-05-23 A. V. Syromyatnikov , S. V. Maleyev

Spin-1/2 Heisenberg antiferromagnetic frustrated spin chain systems display exotic ground states with unconventional excitations and distinct quantum phase transitions as the ratio of next-nearest-neighbor to nearest-neighbor coupling is…

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

We consider the fully anisotropic Heisenberg spin-1/2 antiferromagnet in a uniform magnetic field, whose ground-state is characterized by broken spin rotation symmetry and gapped spinon excitations. We expand on a recent mean-field approach…

Strongly Correlated Electrons · Physics 2009-11-10 R. Hagemans , J. -S. Caux , U. Loew

Quantum phase transition at the saturation field is studied for a class of frustrated quantum antiferromagnets. The considered models include (i) the $J_1$-$J_2$ frustrated square-lattice antiferromagnet with $J_2={1/2}J_1$ and (ii) the…

Strongly Correlated Electrons · Physics 2007-05-23 G. Jackeli , M. E. Zhitomirsky

We investigate the phases and phase-transitions in one-dimensional alternating mixed-spin (1/2-1) chain in the presence of both frustration and anisotropy. Frustration is introduced via next-nearest-neighbor interactions, while single-ion…

Strongly Correlated Electrons · Physics 2025-10-31 Soumya Satpathi , Suparna Sarkar , Swapan K. Pati

Two-leg spin-1/2 ladder systems consisting of a ferromagnetic leg and an antiferromagnetic leg are considered where the spins on the legs interact through antiferromagnetic rung couplings $J_1$. These ladders can have two geometrical…

Strongly Correlated Electrons · Physics 2018-03-14 Debasmita Maiti , Dayasindhu Dey , Manoranjan Kumar

In this paper we present results for the ground state and low-lying excitations of the $S=1/2$ alternating Heisenberg antiferromagnetic chain. Our more conventional techniques include perturbation theory about the dimer limit and numerical…

Strongly Correlated Electrons · Physics 2009-10-31 T. Barnes , J. Riera , D. A. Tennant

We present a theory of frustrated, two-dimensional, quantum antiferromagnets in the vicinity of a quantum transition from a non-collinear, magnetically-ordered ground state to a quantum-disordered phase. Using a sigma-model for bosonic,…

Condensed Matter · Physics 2009-10-22 A. V. Chubukov , T. Senthil , S. Sachdev

We determine the magnetic phase diagram of the antiferromagnetic(AF) zigzag spin chain in the strongly frustrated region, using the density matrix renormalization group method. We find the magnetization plateau at 1/3 of the full moment…

Statistical Mechanics · Physics 2007-05-23 Kouichi Okunishi , Takashi Tonegawa
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