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The dynamical spin structure factor S^{zz}(Q,omega) in the small momentum region is derived analytically for the one-dimensional supersymmetric t-J model with 1/r^2 interaction. Strong spin-charge separation is found in the spin dynamics.…

Strongly Correlated Electrons · Physics 2007-05-23 Mitsuhiro Arikawa , Yasuhiro Saiga

Temperature dependence of the magnetization of the Haldane spin chain at finite magnetic field is analyzed systematically. Quantum Monte Carlo data indicates a clear minimum of magnetization as a function of temperature in the gapless…

Strongly Correlated Electrons · Physics 2009-11-13 Yoshitaka Maeda , Chisa Hotta , Masaki Oshikawa

We study the form factors of local operators of integrable QFT's between states with finite energy density. These states arise, for example, at finite temperature, or from a generalized Gibbs ensemble. We generalize Smirnov's form factor…

High Energy Physics - Theory · Physics 2019-01-23 Axel Cortés Cubero , Miłosz Panfil

We introduce four types of SU(2M+1) spin chains which can be regarded as the BC_N versions of the celebrated Haldane-Shastry chain. These chains depend on two free parameters and, unlike the original Haldane-Shastry chain, their sites need…

High Energy Physics - Theory · Physics 2009-11-10 A. Enciso , F. Finkel , A. Gonzalez-Lopez , M. A. Rodriguez

We present new experimental low-temperature heat capacity and detailed dynamical spin-structure factor data for the quantum spin liquid candidate material Ca$_{10}$Cr$_7$O$_{28}$. The measured heat capacity shows an almost perfect linear…

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the Heisenberg antiferromagnet on the pyrochlore lattice. We discuss the excitation spectra as…

Strongly Correlated Electrons · Physics 2019-07-24 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Derzhko

We propose a definition for a creation operator for the spinon, the fractional statistics elementary excitation of the Haldane-Shastry model, and give numerical and analytical evidence that our operator creates a single spinon with nearly…

Strongly Correlated Electrons · Physics 2008-02-03 S. P. Strong , J. C. Talstra

We study the thermodynamics and critical behavior of su($m$) spin chains of Haldane-Shastry type at zero chemical potential, both in the $A_{N-1}$ and $BC_N$ cases. We evaluate in closed form the free energy per spin for arbitrary values of…

Statistical Mechanics · Physics 2023-11-14 Federico Finkel , Artemio González-López

The mapping between the fermion and spinon compositions of eigenstates in the one-dimensional spin-1/2 XX model on a lattice with N sites is used to describe the spinon interaction from two different perspectives: (i) For finite N the…

Strongly Correlated Electrons · Physics 2009-11-13 Michael Karbach , Gerhard Muller , Klaus Wiele

The high-temperature series expansion for quantum spin models is a well-established tool to compute thermodynamic quantities and equal-time spin correlations, in particular for frustrated interactions. We extend the scope of this expansion…

Strongly Correlated Electrons · Physics 2026-02-06 Ruben Burkard , Benedikt Schneider , Björn Sbierski

We study the spin Calogero model of D_N type with polarized spin reversal operators, as well as its associated spin chain of Haldane-Shastry type, both in the antiferromagnetic and ferromagnetic cases. We compute the spectrum and the…

Statistical Mechanics · Physics 2015-07-08 B. Basu-Mallick , C. Datta , F. Finkel , A. Gonzalez-Lopez

We coherently manipulate spin correlations in a two-component atomic Fermi gas loaded into an optical lattice using spatially and time-resolved Ramsey spectroscopy combined with high-resolution \textit{in situ} imaging. This novel technique…

Quantum Gases · Physics 2018-05-09 N. Wurz , C. F. Chan , M. Gall , J. H. Drewes , E. Cocchi , L. A. Miller , D. Pertot , F. Brennecke , M. Köhl

By deriving and studying the coordinate representation for the two-spinon wavefunction, we show that spinon excitations in the Haldane-Shastry model interact. The interaction is given by a short-range attraction and causes a resonant…

Strongly Correlated Electrons · Physics 2009-10-31 B. A. Bernevig , D. Giuliano , R. B. Laughlin

We use a second-order rotational invariant Green's function method (RGM) and the high-temperature expansion (HTE) to calculate the thermodynamic properties, of the kagome-lattice spin-$S$ Heisenberg antiferromagnet with nearest-neighbor…

Strongly Correlated Electrons · Physics 2018-07-25 P. Müller , A. Zander , J. Richter

We develop a diagrammatic approach for calculating the high temperature expansion of dynamic correlation functions, such as the electron Green's function and the time-dependent density-density and spin-spin correlation functions, for the…

Strongly Correlated Electrons · Physics 2013-10-15 Edward Perepelitsky

In these lectures, I review some recent results on the Calogero-Sutherland model and the Haldane Shastry-chain. The list of topics I cover are the following: 1) The Calogero-Sutherland Hamiltonian and fractional statistics. The form factor…

High Energy Physics - Theory · Physics 2009-10-28 V. Pasquier

Dynamical spin structure factors of quantum spin nematic states are calculated in a spin-1/2 square-lattice J1-J2 model with ferromagnetic J1 and competing antiferromagnetic J2 interactions. To this end, we use a fermion representation,…

Strongly Correlated Electrons · Physics 2013-03-05 Ryuichi Shindou , Seiji Yunoki , Tsutomu Momoi

We present a field-theoretic renormalization group calculation in two loop order for classical O(N)-models with an inverse square interaction in the vicinity of their lower critical dimensionality one. The magnetic susceptibility at low…

Statistical Mechanics · Physics 2009-10-31 W. Hofstetter , W. Zwerger

Antiferromagnetic Heisenberg spin chains with various spin values ($S=1/2,1,3/2,2,5/2$) are studied numerically with the quantum Monte Carlo method. Effective spin $S$ chains are realized by ferromagnetically coupling $n=2S$…

Strongly Correlated Electrons · Physics 2009-10-30 Y. J. Kim , M. Greven , U. -J. Wiese , R. J. Birgeneau

We present a study of the spin-1/2 Heisenberg chain with alternating ferro- and antiferromagnetic exchange, focusing on the role of the exchange couplings to cover both, dimer and Haldane limit. Employing a complementary combination of…

Strongly Correlated Electrons · Physics 2020-01-15 Niklas Casper , Wolfram Brenig