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The geometrically frustrated spin-1/2 Ising-Heisenberg model on triangulated Husimi lattices is exactly solved by combining the generalized star-triangle transformation with the method of exact recursion relations. The ground-state and…

Statistical Mechanics · Physics 2015-12-11 J. Strecka , C. Ekiz

We study the dynamics of excitations in a system of $O(N)$ quantum rotors in the presence of random fields and random anisotropies. Below the lower critical dimension $d_{\mathrm{lc}}=4$ the system exhibits a quasi-long-range order with a…

Disordered Systems and Neural Networks · Physics 2014-07-31 Alexei Andreanov , Andrei A. Fedorenko

We study the zero-temperature phase diagram and the low-energy excitations of a mixed-spin ($S_1>S_2$) $J_1-J_2$ Heisenberg model defined on a square lattice by using a spin-wave analysis, the coupled cluster method, and the Lanczos…

Strongly Correlated Electrons · Physics 2009-11-07 N. B. Ivanov , J. Richter , D. J. J. Farnell

We present an analytic approach to study concurrent influence of quenched non-magnetic site-dilution and finiteness of the lattice on the 2D XY model. Two significant deeply connected features of this spin model are: a special type of…

Statistical Mechanics · Physics 2010-07-06 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

The thermodynamics of the quantum Heisenberg antiferromagnet on a square lattice is revisited through a linearized spin-wave theory which is well defined at any finite temperature. We re-examine in details the temperature dependence of the…

Strongly Correlated Electrons · Physics 2009-12-31 M. M. Liang , Y. H. Su

We apply torque equilibrium spin wave theory (TESWT) to investigate an anisotropic XXZ antiferromagnetic model with Dzyaloshinskii-Moriya (DM) interaction in a triangular lattice. Considering the quasiparticle vacuum as our reference, we…

Strongly Correlated Electrons · Physics 2021-01-25 Chao Shan , Shangjian Jin , Trinanjan Datta , Dao-Xin Yao

We extend the formulation of the spin wave theory for the Kondo lattice model, which was mainly used for the ferromagnetic metallic state, to general magnetic orders including complex noncollinear and noncoplanar orders. The 1/S expansion…

Strongly Correlated Electrons · Physics 2015-04-23 Yutaka Akagi , Masafumi Udagawa , Yukitoshi Motome

We study the phase diagram of the frustrated XY model on the honeycomb lattice by using accurate correlated wave functions and variational Monte Carlo simulations. Our results suggest that a spin-liquid state is energetically favorable in…

Strongly Correlated Electrons · Physics 2014-01-07 Juan Carrasquilla , Andrea Di Ciolo , Federico Becca , Victor Galitski , Marcos Rigol

The geometric frustration of the spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is investigated within the framework of an exact analytical method based on the generalized star-triangle mapping…

Statistical Mechanics · Physics 2009-11-13 Jozef Strecka , Lucia Canova , Michal Jascur , Masayuki Hagiwara

A quantum spin liquid (QSL) is a state of matter characterized by fractionalized quasiparticle excitations, quantum entanglement, and a lack of long-range magnetic order. However, QSLs have evaded definitive experimental observation.…

Strongly Correlated Electrons · Physics 2024-12-31 Sangyun Lee , Andrew J. Woods , Minseong Lee , Shengzhi Zhang , Eun Sang Choi , A. O. Scheie , D. A. Tennant , J. Xing , A. S. Sefat , R. Movshovich

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

We investigate the zero temperature quantum phases of a Bose-Bose mixture on a triangular lattice using Bosonic Dynamical Mean Field Theory (BDMFT). We consider the case of total filling one where geometric frustration arises for asymmetric…

Quantum Gases · Physics 2013-05-30 Liang He , Yongqiang Li , Ehud Altman , Walter Hofstetter

A spin-wave theory of short-range order in the square lattice Heisenberg antiferromagnet is formulated. With growing temperature from T=0 a gapless mode is shown to arise simultaneously with opening a gap in the conventional spin-wave mode.…

Strongly Correlated Electrons · Physics 2009-10-31 A. Sherman , M. Schreiber

We study the thermodynamics of one-dimensional quantum spin-1/2 Heisenberg ferromagnetic system with random antiferromagnetic impurity bonds. In the dilute impurity limit, we generalize the modified spin-wave theory for random spin chains,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Xin Wan , Kun Yang , R. N. Bhatt

Starting from the hamiltonian for the Heisenberg ferromagnet which comprise randomly distributed nonmagnetic ions as impurities in a Bravais lattice, we express the spin operators by means of the Dyson-Maleev transformation in terms of the…

Statistical Mechanics · Physics 2022-08-16 Z. J. Weiss , A. R. Massih

The low-temperature properties of the (2+1)-dimensional quantum XY model are studied within the framework of effective Lagrangians up to three-loop order. At zero temperature, the system is characterized by a spontaneously broken spin…

Strongly Correlated Electrons · Physics 2014-03-05 Christoph P. Hofmann

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Strongly Correlated Electrons · Physics 2013-01-30 Philipp Hauke

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 study the effect of spin anisotropies on a frustrated quantum antiferromagnet using the J_1-J_2^{XXZ} model on the square lattice. The T=0 and finite-T phase diagrams of this model are obtained utilizing spin-wave theory, exact…

Strongly Correlated Electrons · Physics 2009-11-10 Tommaso Roscilde , Adrian Feiguin , Alexander L. Chernyshev , Shiu Liu , Stephan Haas

Spin wave theory is applied to a quantum antiferromagnetic XXZ model on a triangle lattice in the presence of an in-plane magnetic field. The effect of the field is found to enhance the quantum fluctuation and to reduce the sublattice…

Strongly Correlated Electrons · Physics 2009-11-07 J. Y. Gan , F. C. Zhang , Z. B. Su