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We study the ground state phases of the $S=1/2$ Heisenberg quantum antiferromagnet on the spatially anisotropic triangular lattice and on the square lattice with up to next-next-nearest neighbor coupling (the $J_1J_2J_3$ model), making use…

Strongly Correlated Electrons · Physics 2011-08-05 Philipp Hauke , Tommaso Roscilde , Valentin Murg , J. Ignacio Cirac , Roman Schmied

A 2-Q antiferromagnetic order of the ferromagnetic dimers was found below TN = 2.9 K in the Shastry-Sutherland lattice BaNd2ZnS5 by single crystal neutron diffraction. The magnetic order can be understood by the orthogonal arrangement of…

Strongly Correlated Electrons · Physics 2023-07-07 Madalynn Marshall , Brianna R. Billingsley , Xiaojian Bai , Qianli Ma , Tai Kong , Huibo Cao

Motivated by recent experiments on Bi$_3$Mn$_4$O$_{12}$(NO$_3$), we study a frustrated $J_1$-$J_2$ Heisenberg model on the two dimensional (2D) honeycomb lattice. The classical $J_1$-$J_2$ Heisenberg model on the two dimensional (2D)…

Strongly Correlated Electrons · Physics 2013-05-29 A. Mulder , R. Ganesh , L. Capriotti , A. Paramekanti

A theoretical description is presented for low-temperature magnetic-field induced three-dimensional (3D) ordering transitions in strongly anisotropic quantum antiferromagnets, consisting of weakly coupled antiferromagnetic spin-1/2 chains…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Wessel , Stephan Haas

Thermal properties of the ordered phase of the spin 1/2 isotropic Heisenberg Antiferromagnet on a d-dimensional hypercubical lattice are studied within the fermionic representation when the constraint of single occupancy condition is taken…

Condensed Matter · Physics 2007-05-23 S. Azakov , M. Dilaver , A. M. Oztas

The results of extensive Monte Carlo simulations of classical spins on the two-dimensional kagome lattice with only dipolar interactions are presented. In addition to revealing the six-fold degenerate ground state, the nature of the…

Materials Science · Physics 2015-05-01 M. S. Holden , M. L. Plumer , I. Saika-Voivod , B. W. Southern

A model for a Heisenberg antiferromagnet on a pyrochlore lattice with exchange and dipole-dipole interactions is studied via mean-field theory. In treating the dipoles by use of the Ewald method, a soft (critical) mode with a unique…

Statistical Mechanics · Physics 2007-05-23 Matthew Enjalran , Michel J. P. Gingras

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin…

Strongly Correlated Electrons · Physics 2022-10-11 Jackson Pitts , Finn Lasse Buessen , Roderich Moessner , Simon Trebst , Kirill Shtengel

In Volborthite, spin-1/2 moments form a distorted Kagom\'e lattice, of corner sharing isosceles triangles with exchange constants $J$ on two bonds and $J'$ on the third bond. We study the properties of such spin systems, and show that…

Strongly Correlated Electrons · Physics 2007-09-29 Fa Wang , Ashvin Vishwanath , Yong Baek Kim

We present the zero temperature phase diagram of a Heisenberg antiferromagnet on a frustrated triangular lattice with nearest neighbor ($J_1$) and next nearest neighbor ($J_2$) interactions, in a magnetic field. We show that the classical…

Strongly Correlated Electrons · Physics 2017-05-25 Mengxing Ye , Andrey V. Chubukov

We present a mean-field theory describing the influence of long-range dipolar forces on the temperature transition from the paramagnetic to ordered phases in frustrated Heisenberg spiral magnets. It is shown that the dipolar interaction…

Strongly Correlated Electrons · Physics 2017-07-03 O. I. Utesov , A. V. Syromyatnikov

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using Monte Carlo simulations. The ordering in a medium temperature range below the critical point is investigated in detail. Two different regimes have…

Condensed Matter · Physics 2009-10-28 M. Kolesik , M. Suzuki

The Hubbard model has been employed successfully to understand many aspects of correlation driven physical properties, in particular, the magnetic order in itenerant electron systems. In some systems such as Heusler alloys, manganites etc.,…

Strongly Correlated Electrons · Physics 2015-05-18 L. Haritha , G. Gangadhar Reddy , A. Ramakanth , S. K. Ghatak , W. Nolting

It is known that fixed boundary conditions modify the leading finite-size corrections for an L^3 lattice in 3d at a first-order phase transition from 1/L^3 to 1/L. We note that an exponential low-temperature phase degeneracy of the form…

Statistical Mechanics · Physics 2014-12-17 Marco Mueller , Wolfhard Janke , Desmond A. Johnston

We argue that collinearly ordered states which exist in strongly frustrated spin systems for special rational values of the magnetization are stabilized by thermal as well as quantum fluctuations. These general predictions are tested by…

Strongly Correlated Electrons · Physics 2009-11-07 A. Honecker , O. A. Petrenko , M. E. Zhitomirsky

The spiral magnetic order in cubic MnSi-type crystals is considered using the model of classical Heisenberg ferromagnetics with an extra interaction of the Dzyaloshinskii-Moriya (DM) type between neighboring atoms. It is found how the wave…

Strongly Correlated Electrons · Physics 2012-01-23 Viacheslav A. Chizhikov , Vladimir E. Dmitrienko

We evaluate the thermodynamic properties of the 4-state antiferromagnetic Potts model on the Union- Jack lattice using tensor-based numerical methods. We present strong evidence for a previously unknown, "entropy-driven," finite-temperature…

Strongly Correlated Electrons · Physics 2012-01-19 Q. N. Chen , M. P. Qin , J. Chen , Z. C. Wei , H. H. Zhao , B. Normand , T. Xiang

The effect of nonmagnetic impurities on the phase diagram of the classical Heisenberg antiferromagnet on a triangular lattice is investigated. We present analytical arguments confirmed by numerical calculations that at zero temperature…

Strongly Correlated Electrons · Physics 2013-12-17 V. S. Maryasin , M. E. Zhitomirsky

Motivated by recent experiments on Na_4Ir_3O_8 [Y. Okamoto, M. Nohara, H. Aruga-Katori, and H. Takagi, arXiv:0705.2821 (unpublished)], we study the classical antiferromagnet on a frustrated three-dimensional lattice obtained by selectively…

Statistical Mechanics · Physics 2007-07-27 John M. Hopkinson , Sergei V. Isakov , Hae-Young Kee , Yong Baek Kim

We study a spin $S$ quantum Heisenberg model on the Fe lattice of the rare-earth oxypnictide superconductors. Using both large $S$ and large $N$ methods, we show that this model exhibits a sequence of two phase transitions: from a high…

Strongly Correlated Electrons · Physics 2009-11-13 Chen Fang , Hong Yao , Wei-Feng Tsai , JiangPing Hu , Steven A. Kivelson
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