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Related papers: Simulating a two-dimensional frustrated spin syste…

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We use a combination of analytical and numerical techniques to study the phase diagram of the frustrated Heisenberg model on the bilayer honeycomb lattice. Using the Schwinger boson description of the spin operators followed by a mean field…

Strongly Correlated Electrons · Physics 2014-01-08 Hao Zhang , M. Arlego , C. A. Lamas

We present a certain class of two-dimensional frustrated quantum Heisenberg spin systems with multiple ring exchange interactions which are rigorously demonstrated to have quantum disordered ground states without magnetic long-range order.…

Strongly Correlated Electrons · Physics 2009-11-11 Satoshi Fujimoto

We investigate the frustrated $J_1$-$J_2$-$J_3$ Ising model on the honeycomb lattice, featuring first- and second-neighbor ferromagnetic couplings ($J_1>0$ and $J_2>0$) and third-neighbor antiferromagnetic interactions ($J_3<0$). Using the…

Statistical Mechanics · Physics 2026-01-28 Pietro F. Dias , Fabio M. Zimmer , Nikolaos G. Fytas , Mateus Schmidt

Using exact diagonalization (ED) and linear spin wave theory (LSWT) we study the influence of frustration and quantum fluctuations on the magnetic ordering in the ground state of the spin-1/2 J1-J2 Heisenberg antiferromagnet (J1-J2 model)…

Strongly Correlated Electrons · Physics 2009-11-07 R. Schmidt , J. Schulenburg , J. Richter , D. D. Betts

We investigate the magnetic properties of LiYbO$_2$, containing a three-dimensionally frustrated, diamond-like lattice via neutron scattering, magnetization, and heat capacity measurements. The stretched diamond network of Yb$^{3+}$ ions in…

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 ground-state phase diagram of a spin-1/2 honeycomb-lattice antiferromagnetic (AF) Heisenberg model with three exchange interactions, $J_{\rm A}$, $J_{\rm B}$, and $J_{\rm C}$ that is realized in a distorted…

Strongly Correlated Electrons · Physics 2022-06-29 Tokuro Shimokawa , Ken'ichi Takano , Zentaro Honda , Akira Okutani , Masayuki Hagiwara

We construct a class of projected entangled pair states (PEPS) which is exactly the resonating valence bond (RVB) wavefunctions endowed with both short range and long range valence bonds. With an energetically preferred RVB pattern, the…

Strongly Correlated Electrons · Physics 2013-07-22 Ling Wang , Didier Poilblanc , Zheng-Cheng Gu , Xiao-Gang Wen , Frank Verstraete

We study the discrete-to-continuum variational limit of the $J_{1}$-$J_{3}$ spin model on the square lattice in the vicinity of the helimagnet/ferromagnet transition point as the lattice spacing vanishes. Carrying out the…

Analysis of PDEs · Mathematics 2019-04-17 Marco Cicalese , Marwin Forster , Gianluca Orlando

We study the quantum dimer model on the triangular lattice, which is expected to describe the singlet dynamics of frustrated Heisenberg models in phases where valence bond configurations dominate their physics. We find, in contrast to the…

Strongly Correlated Electrons · Physics 2009-10-31 R. Moessner , S. L. Sondhi

Simulating frustrated quantum magnets is among the most challenging tasks in computational physics. We apply String-Bond States, a recently introduced ansatz which combines Tensor Networks with Monte Carlo based methods, to the simulation…

Strongly Correlated Electrons · Physics 2010-07-08 Alessandro Sfondrini , Javier Cerrillo , Norbert Schuch , J. Ignacio Cirac

This work examines the magnetic order and spin dynamics of a double-exchange model with competing ferromagnetic and antiferromagnetic Heisenberg interactions between the local moments. The Heisenberg interactions are periodically arranged…

Strongly Correlated Electrons · Physics 2009-11-10 Randy Fishman

The two-dimensional frustrated next nearest neighbor Heisenberg model on the square lattice is a prime example for a spin system where quantum fluctuations can either destroy or stabilize magnetic order. The phase boundaries and staggered…

Strongly Correlated Electrons · Physics 2011-03-11 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier

In the present paper, we study spin-${1 \over 2}$ antiferromagnetic (AF) Heisenberg model on layered anisotropic triangular lattice and obtain its phase structure. We use the Schwinger bosons for representing spin operators and also…

Strongly Correlated Electrons · Physics 2011-07-26 Kazuya Nakane , Takeshi Kamij , Ikuo Ichinose

121/123Sb nuclear quadrupole resonance and muon spin relaxation experiments of Mo3Sb7 revealed symmetry breakdown to a nonmagnetic state below the transition recently found at TS=50 K. The transition is characterized by a distinct lattice…

Strongly Correlated Electrons · Physics 2009-11-13 T. Koyama , H. Yamashita , Y. Takahashi , T. Kohara , I. Watanabe , Y. Tabata , H. Nakamura

Using modified spin wave (MSW) method, we study the $J_1-J_2$ Heisenberg model with first and second neighbor antiferromagnetic exchange interactions. For symmetric $S=1/2$ model, with the same couplings for all the equivalent neighbors, we…

Strongly Correlated Electrons · Physics 2016-08-24 Elaheh Ghorbani , Farhad Shahbazi , Hamid Mosadeq

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

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered…

Strongly Correlated Electrons · Physics 2009-11-13 P. Thalmeier , M. E. Zhitomirsky , B. Schmidt , N. Shannon

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

Strongly Correlated Electrons · Physics 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

We consider the spin-1/2 antiferromagnetic Heisenberg model on a bilayer honeycomb lattice including interlayer frustration in the presence of an external magnetic field. In the vicinity of the saturation field, we map the low-energy states…

Strongly Correlated Electrons · Physics 2017-03-22 Taras Krokhmalskii , Vasyl Baliha , Oleg Derzhko , Jörg Schulenburg , Johannes Richter