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We extend to magnetically ordered phases a recently developed expansion in 1/d for coupled-dimer Heisenberg magnets, where d is the number of space dimensions. This extension utilizes generalized bond operators describing spin excitations…

Strongly Correlated Electrons · Physics 2015-03-05 Darshan G. Joshi , Matthias Vojta

We overview some recent work and present new results on the ground state properties and the spectrum of excitations of the two-dimensional frustrated Heisenberg antiferromagnet. Spontaneous dimer order is present in the quantum disordered…

Strongly Correlated Electrons · Physics 2018-07-11 Valeri N. Kotov , Jaan Oitmaa , Oleg Sushkov , Zheng Weihong

For coupled-dimer Heisenberg magnets, a paradigm of magnetic quantum phase transitions, we develop a systematic expansion in 1/d, the inverse number of space dimensions. The expansion employs a formulation of the bond-operator technique and…

Strongly Correlated Electrons · Physics 2015-03-05 Darshan G. Joshi , Kris Coester , Kai P. Schmidt , Matthias Vojta

We use recently developed strong-coupling expansion methods to study the two-particle spectra for the frustrated alternating Heisenberg model, consisting of an alternating nearest neighbor antiferromagnetic exchange and a uniform second…

Strongly Correlated Electrons · Physics 2008-03-26 Weihong Zheng , C. J. Hamer , R. R. P. Singh , Simon Trebst , Hartmut Monien

We have studied the low-energy excitation spectrum of a dimerized and frustrated antiferromagnetic Heisenberg chain. We use an analytic approach, based on a description of the excitations as triplets above a strong-coupling singlet ground…

Superconductivity · Physics 2009-10-31 P. V. Shevchenko , V. N. Kotov , O. P. Sushkov

Using a numerical implementation of strong disorder renormalization group, we study the low-energy, long-distance properties of layers and bilayers of $S = 1/2$ Heisenberg antiferromagnets with different type of disorder: bond randomness,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu-Cheng Lin , Heiko Rieger , Nicolas Laflorencie , Ferenc Igloi

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

Using the Bond Operator Technique (BOT), we have studied the low energy excitationspectrum of a frustrated dimerized antiferromagnetic Heisenberg chain. In particular, we have compared our analytical results with previous Exact…

Strongly Correlated Electrons · Physics 2007-05-23 G. Bouzerar , S. Sil

We study the spin-1/2 Heisenberg antiferromagnet on a bilayer honeycomb lattice including interlayer frustration. Using a set of complementary approaches, namely Schwinger bosons, dimer series expansion, bond operators, and exact…

Strongly Correlated Electrons · Physics 2016-07-12 Hao Zhang , Carlos A. Lamas , Marcelo Arlego , Wolfram Brenig

The two-layer square lattice quantum antiferromagnet with spins 1/2 shows a zero-field magnetic order-disorder transition at a critical ratio of the inter-plane to intra-plane couplings. Adding a uniform magnetic field tunes the system to…

Strongly Correlated Electrons · Physics 2009-11-07 Torsten Sommer , Matthias Vojta , Klaus W. Becker

Aiming to describe frustrated quantum magnets with non-magnetic singlet ground states, we have extended the Rokhsar-Kivelson (RK) loop-expansion to derive a generalized Quantum Dimer Model containing only connected terms up to arbitrary…

Strongly Correlated Electrons · Physics 2009-12-01 A. Ralko , M. Mambrini , D. Poilblanc

Motivated by recent advancements in theoretical and experimental studies of the high-energy excitations on an antiferromagnetic trimer chain, we numerically investigate the quantum phase transition and composite dynamics in this system by…

Strongly Correlated Electrons · Physics 2024-12-03 Jun-Qing Cheng , Zhi-Yao Ning , Han-Qing Wu , Dao-Xin Yao

We investigate intra-Landau-level collective excitations in a bilayer disordered two-dimensional electron system exposed to a perpendicular magnetic field. The energy spectrum is calculated within the random phase approximation by taking…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Samvel M. Badalyan , Chang Sub Kim

We use a generalized spin wave approach and large scale quantum Monte Carlo (QMC) simulations to study the quantum phase diagram and quasiparticle excitations of the S=1 Heisenberg model with an easy-plane single-ion anisotropy in…

Strongly Correlated Electrons · Physics 2013-07-12 Zhifeng Zhang , Keola Wierschem , Ian Yap , Yasuyuki Kato , Cristian D. Batista , Pinaki Sengupta

Various series expansions have been developed for the two-layer, S=1/2, square lattice Heisenberg antiferromagnet. High temperature expansions are used to calculate the temperature dependence of the susceptibility and specific heat. At T=0,…

Strongly Correlated Electrons · Physics 2016-08-31 Zheng Weihong

We present an inelastic neutron scattering (INS) study of the excitation spectrum of a model S = 1/2 equilateral Heisenberg trimer, Cu_3(O_2C_16H_23)_6.1.2C_6H_12. Earlier measurements were interpreted on the basis of a spin ground state…

Strongly Correlated Electrons · Physics 2007-05-23 M. B. Stone , F. Fernandez-Alonso , D. T. Adroja , N. S. Dalal , D. Villagran , F. A. Cotton , S. E. Nagler

These lectures review the large N Schwinger Bosons Mean Field approach to the quantum Heisenberg model. The method applies to ordered and disordered phases in all dimensions, at zero and at finite temperature. Extension to frustrated models…

Strongly Correlated Electrons · Physics 2008-12-28 Assa Auerbach , Daniel P. Arovas

We examine the stability of magnetic order in a classical Heisenberg model with quenched random exchange couplings. This system represents the spin degrees of freedom in high-$T_\textrm{c}$ compounds with immobile dopants. Starting from a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Frank Krüger , Stefan Scheidl

Using the conventional $T$-matrix approach, we discuss gapped phases in 1D, 2D, and 3D spin systems (both with and without a long range magnetic order) with bond disorder and with weakly interacting bosonic elementary excitations. This work…

Strongly Correlated Electrons · Physics 2014-11-04 O. I. Utesov , A. V. Sizanov , A. V. Syromyatnikov

We study the magnetic excitations of the trimeric magnetic compounds A$_3$Cu$_3$(PO$_4$)$_4$ (A = Ca, Sr, Pb). The spectra are analyzed in terms of the Heisenberg model and a generic spin Hamiltonian that accounts for the changes in valence…

Atomic and Molecular Clusters · Physics 2020-10-12 M. Georgiev , H. Chamati
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