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The antiferromagnetic Heisenberg model on the frustrated Shastry-Sutherland lattice is studied by a mapping onto spinless fermions carrying one quantum of statistical flux. Using a mean-field approximation these fermions populate the bands…

Strongly Correlated Electrons · Physics 2009-11-07 G. Misguich , Th. Jolicoeur , S. M. Girvin

We study the magnetization process in two-dimensional S=1/2 spin systems, to discuss the appearance of a plateau structure. The following three cases are considered: (1) the Heisenberg antiferromagnet and multiple-spin exchange model on the…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

The magnetization process of the orthogonal-dimer antiferromagnet SrCu2(BO3)2 is investigated in high magnetic fields of up to 118 T. A 1/2 plateau is clearly observed in the field range 84 to 108 T in addition to 1/8, 1/4 and 1/3 plateaux…

Strongly Correlated Electrons · Physics 2013-09-30 Y. H. Matsuda , N. Abe , S. Takeyama , H. Kageyama , P. Corboz , A. Honecker , S. R. Manmana , G. R. Foltin , K. P. Schmidt , F. Mila

Magnetization processes of spin-1/2 Heisenberg ladders are studied using strong-coupling expansions, numerical diagonalization of finite systems and a bosonization approach. We find that the magnetization exhibits plateaux as a function of…

Strongly Correlated Electrons · Physics 2009-10-30 D. C. Cabra , A. Honecker , P. Pujol

The magnetization curve of the two-dimensional spin-1/2 $J_1$-$J_2$ Heisenberg model is investigated by using the Chern-Simons theory under a uniform mean-field approximation. We find that the magnetization curve is monotonically increasing…

Strongly Correlated Electrons · Physics 2007-05-23 Ming-Che Chang , Min-Fong Yang

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

The emergence of Hofstadter butterflies for bosons in synthetic-gauge-field antiferromagnetic patterns is theoretically studied. We report on a specific tight-binding model of artificial antiferromagnetic structures incorporating both…

Mesoscale and Nanoscale Physics · Physics 2020-08-20 Yury S Krivosenko , Ivan V Iorsh , Ivan A Shelykh

A variety of analytical approaches have been developed for the study of quantum spin systems in two dimensions, the notable ones being spin-waves, slave boson/fermion parton constructions, and for lattices with one-to-one local…

Strongly Correlated Electrons · Physics 2023-08-09 Jagannath Das , Aman Kumar , Avijit Maity , Vikram Tripathi

We report on a comprehensive thermodynamic study of a quasi-two-dimensional (quasi-2D) quantum magnet Cu$_2$(OH)$_3$Br which in the 2D layer can be viewed as strongly coupled alternating antiferromagnetic and ferromagnetic chains. In an…

We study the Heisenberg antiferromagnet on the Shastry-Sutherland lattice under magnetic fields, to clarify the magnetic properties of SrCu_2(BO_3)_2. Treating magnetic excitations promoted by the field as Bose particles and using strong…

Strongly Correlated Electrons · Physics 2009-10-31 Tsutomu Momoi , Keisuke Totsuka

We report the observation of magnetic superstructure in a magnetization plateau state of SrCu2(BO3)2, a frustrated quasi-two-dimensional quantum spin system. The Cu and B nuclear magnetic resonance (NMR) spectra at 35 mllikelvin indicate an…

Strongly Correlated Electrons · Physics 2009-11-07 K. Kodama , M. Takigawa , M. Horvatic , C. Berthier , H. Kageyama , Y. Ueda , S. Miyahara , F. Becca , F. Mila

The two-dimensional spin-gap system ${\rm SrCu_2(BO_3)_2}$ shows unique physical properties due to the low-dimensionality character and the strong quantum fluctuations. Experimentally, 1/8-, 1/4-, and 1/3-plateaus have been observed in the…

Strongly Correlated Electrons · Physics 2009-11-10 Shin Miyahara , Federico Becca , Frederic Mila

The description of a system of vortices in terms of dual fields provides a window to new phases of the system. It was found recently that dualizing a 3+1-d boson-fermion system leads to a system of fermions and vortices interacting via a…

High Energy Physics - Theory · Physics 2023-01-04 Shantonu Mukherjee , Amitabha Lahiri

Frustrated spin systems on Kagome lattices have long been considered to be a promising candidate for realizing exotic spin liquid phases. Recently, there has been a lot of renewed interest in these systems with the discovery of materials…

Strongly Correlated Electrons · Physics 2014-12-09 Krishna Kumar , Kai Sun , Eduardo Fradkin

We measure a sequence of quantum Hall-like plateaux at 1/q: 9 >= q >= 2 and p/q = 2/9 fractions in the magnetisation with increasing magnetic field in the geometrically frustrated spin system SrCu2(BO3)2. We find that the entire observed…

Strongly Correlated Electrons · Physics 2011-12-08 Suchitra E. Sebastian , N. Harrison , P. Sengupta , C. D. Batista , S. Francoual , E. Palm , T. Murphy , N. Marcano , H. A. Dabkowska , B. D. Gaulin

We describe a 3d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 3d spatial lattice to a 2-form $\mathbb{Z}_2$ gauge theory with an unusual Gauss law. An important property of this map is that it…

Strongly Correlated Electrons · Physics 2019-12-25 Yu-An Chen , Anton Kapustin

In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous magnetization occurs in the context of finite density vacua, which are the lowest Landau levels fully or half occupied by fermions. Charge condensation is shown to…

High Energy Physics - Theory · Physics 2011-06-16 Taichi Itoh , Hiroshi Kato

We study the magnetisation process of the one dimensional spin-1/2 antiferromagnetic Heisenberg model with modulated couplings over j=1,2,3 sites. It turns out that the evolution of magnetisation plateaus depends on j and on the wave number…

Strongly Correlated Electrons · Physics 2016-08-31 R. M. Wiessner , A. Fledderjohann , K. -H. Muetter , M. Karbach

We describe a 2d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 2d lattice to a lattice gauge theory while preserving the locality of the Hamiltonian. When the space is simply-connected, this…

Strongly Correlated Electrons · Physics 2022-11-01 Yu-An Chen , Anton Kapustin , Djordje Radicevic

We study the magnetization process of the spin-1/2 antiferromagnetic Heisenberg model on a layered triangular lattice by means of a numerical cluster mean-field method with a scaling scheme (CMF+S). It has been known that antiferromagnetic…

Strongly Correlated Electrons · Physics 2016-06-01 Daisuke Yamamoto , Giacomo Marmorini , Ippei Danshita
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