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We investigate further the relationship between the entanglement spectrum of a composite many-body system and the energy spectrum of a subsystem making use of concepts of canonical thermodynamics. In many important cases the entanglement…

Statistical Mechanics · Physics 2014-10-07 John Schliemann

A single organic spin platform hosts both dimerized $S=\tfrac{1}{2}$ and effective Haldane $S=1$ sectors, linked by bond-texture inversion. At the junction, the fractional mode is controlled by termination parity: quenched by local fusion…

Strongly Correlated Electrons · Physics 2026-04-22 Khalid N. Anindya , Hong Guo

We extend the methods of Spradlin and Volovich to compute the partition function for a conformally-invariant gauge theory on R x S^3 in which the dilatation operator is represented by a spin-chain Hamiltonian acting on pairs of states, not…

High Energy Physics - Theory · Physics 2009-11-11 Marta Gomez-Reino , Stephen G. Naculich , Howard J. Schnitzer

The SU(2) symmetric Fermi-Hubbard model (FHM) plays an essential role in strongly correlated fermionic many-body systems. In the one particle per site and strongly interacting limit ${U/t \gg 1}$, it is effectively described by the…

We study the behavior of Heisenberg, antiferromagnetic, integer-spin chains in the presence of a magnetic field exceeding the attendant spin gap. For temperatures much smaller than the gap, the spin chains exhibit Luttinger liquid behavior.…

Strongly Correlated Electrons · Physics 2009-11-07 Robert M. Konik , Paul Fendley

The dynamical spin structure factor is computed within a variational framework to study the one-dimensional $J_1-J_2$ Heisenberg model. Starting from Gutzwiller-projected fermionic wave functions, the low-energy spectrum is constructed from…

Strongly Correlated Electrons · Physics 2018-06-13 Francesco Ferrari , Alberto Parola , Sandro Sorella , Federico Becca

We derive the exact contribution of two spinons to the dynamical correlation function of the spin-1/2 Heisenberg model. For this, we use the isotropic limits of the exact form factors that have been recently computed through the quantum…

q-alg · Mathematics 2009-10-30 A. H. Bougourzi , M. Couture , M. Kacir

The thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies are investigated via the integrable su(3) model in terms of the quantum transfer matrix method and the recently developed…

Statistical Mechanics · Physics 2008-11-26 M. T. Batchelor , Xi-Wen Guan , Norman Oelkers

We apply the recently developed thermal form factor expansion method to evaluate the real-time longitudinal spin-spin correlation functions of the spin-$\frac{1}{2}$ XXZ chain in the antiferromagnetically ordered regime at temperature…

Statistical Mechanics · Physics 2021-05-26 Constantin Babenko , Frank Göhmann , Karol K. Kozlowski , Jesko Sirker , Junji Suzuki

Hole propagator of spin 1/2 Calogero-Sutherland model is derived using Uglov's method, which maps the exact eigenfunctions of the model, called Yangian Gelfand-Zetlin basis, to a limit of Macdonald polynomials (gl_2-Jack polynomials). To…

Strongly Correlated Electrons · Physics 2014-07-15 Ryota Nakai , Yusuke Kato

Using the Singwi-Tosi-Land-Sjolander theory we have studied the many-body effects in the two-dimensional electron gas with arbitrary polarization at finite temperatures. We have calculated the structure factors, pair correlation functions,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nguyen Quoc Khanh

We consider the Haldane model, a 2D topological insulator whose phase is defined by the Chern number. We study its phases as temperature varies by means of the Uhlmann number, a finite temperature generalization of the Chern number. Because…

Statistical Mechanics · Physics 2020-01-29 Luca Leonforte , Davide Valenti , Bernardo Spagnolo , Alexander A. Dubkov , Angelo Carollo

Studying the dynamical spin structure factor in frustrated spin chains with spontaneously dimerized ground state we show that besides the gapped spin-wave excitations there appears at finite temperatures also a sharp central peak. The…

Strongly Correlated Electrons · Physics 2011-05-13 J. Kokalj , P. Prelovsek

Recent general results on Hamiltonian reductions under polar group actions are applied to study some reductions of the free particle governed by the Laplace-Beltrami operator of a compact, connected, simple Lie group. The reduced systems…

Mathematical Physics · Physics 2009-11-13 L. Feher , B. G. Pusztai

The Haldane phase for antiferromagnetic spin-1 chains is a celebrated topological state of matter, featuring gapped excitations and fractional spin-1/2 edge states. Here, we provide numerical evidence that this phase can be realized with a…

Mesoscale and Nanoscale Physics · Physics 2023-09-13 G. Catarina , J. Fernández-Rossier

We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model. Fermion number conservation provides an unusual constraint that…

Quantum Gases · Physics 2011-05-05 J. P. Kestner , Bin Wang , Jay D. Sau , S. Das Sarma

Finite-temperature Drude weight (spin stiffness) D(T) is evaluated within the anisotropic spin-1/2 Heisenberg model on a chain using the exact diagonalization for small systems. It is shown that odd-side chains allow for more reliable…

Strongly Correlated Electrons · Physics 2011-10-18 Jacek Herbrych , Peter Prelovšek , Xenophon Zotos

We generalize the Matrix Product States method using the chiral vertex operators of Conformal Field Theory and apply it to study the ground states of the XXZ spin chain, the J1-J2 model and random Heisenberg models. We compute the overlap…

Statistical Mechanics · Physics 2013-05-29 J. Ignacio Cirac , German Sierra

The hierarchy of Integrable Spin Chain Hamiltonians, which are trigonometric analogs of the Haldane Shastry Model and of the associated higher conserved charges, is derived by a reduction from the trigonometric Dynamical Models of…

High Energy Physics - Theory · Physics 2008-02-03 Denis Uglov

To allow for a comparison of theoretical predictions for spin chains with experimental data, it is often important to take impurity effects as well as interchain couplings into account. Here we present the field theory for finite spin…

Strongly Correlated Electrons · Physics 2009-09-23 J. Sirker
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