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Integrable quantum spin chains display distinctive physical properties making them a laboratory to test and assess different states of matter. The study of the finite temperature properties is possible by use of the thermodynamic Bethe…

Mathematical Physics · Physics 2024-08-19 T. S. Tavares , I. R. Passos , A. Klümper

For electronic systems with multi-reference (MR) character, Kohn-Sham density functional theory (KS-DFT) with the conventional exchange-correlation (xc) energy functionals can lead to incorrect spin densities and related properties. For…

Chemical Physics · Physics 2024-06-14 Yu-Yang Wang , Jeng-Da Chai

We present a numerical method to evaluate partition functions and associated correlation functions of inhomogeneous 2--D classical spin systems and 1--D quantum spin systems. The method is scalable and has a controlled error. We illustrate…

Other Condensed Matter · Physics 2009-11-11 V. Murg , F. Verstraete , J. I. Cirac

We present new strong-coupling series for O(N) spin models in three dimensions, on the cubic and diamond lattices. We analyze these series to investigate the two-point Green's function G(x) in the critical region of the symmetric phase.…

High Energy Physics - Lattice · Physics 2009-10-28 Massimo Campostrini , Paolo Rossi , Andrea Pelissetto , Ettore Vicari

(abbreviated) This article considers recent advances in the investigation of the thermal and magnetic properties of integrable spin ladder models and their applicability to the physics of real compounds. The ground state properties of the…

Statistical Mechanics · Physics 2009-06-20 M. T. Batchelor , X. -W. Guan , N. Oelkers , Z. Tsuboi

The Kitaev model, defined on a honeycomb lattice, features an exactly solvable ground state with fractionalized Majorana fermion excitations, which can potentially form non-Abelian anyons crucial for fault-tolerant topological quantum…

Strongly Correlated Electrons · Physics 2024-07-18 Hibiki Takegami , Takao Morinari

We obtain a new multiple integral representation for the spin-spin correlation functions of the XXZ spin-1/2 infinite chain. We show that this representation is closely related with the partition function of the six-vertex model with domain…

High Energy Physics - Theory · Physics 2016-09-06 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

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

In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral $n$-point functions, as well as the equations governing them, of the $A_1^{(1)}$ WZNW conformal theory and the corresponding Virasoro minimal…

High Energy Physics - Theory · Physics 2009-10-22 P. Furlan , A. Ch. Ganchev , R. Paunov , V. B. Petkova

We have computed through order $\beta^{21}$ the high-temperature expansions for the nearest-neighbor spin correlation function $G(N,\beta)$ of the classical N-vector model, with general N, on the simple-cubic and on the body-centered-cubic…

High Energy Physics - Lattice · Physics 2009-10-31 P. Butera , M. Comi

Correlated density matrix theory is generalized to investigate equilibrium properties of normal Fermi Liquids such as 3He and nuclear matter at nonzero temperatures. The results also generalize the Fermi-hypernetted-chain technique that is…

Strongly Correlated Electrons · Physics 2011-06-14 M. Serhan

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

In traditional thermodynamics, temperature is a local quantity: a subsystem of a large thermal system is in a thermal state at the same temperature as the original system. For strongly interacting systems, however, the locality of…

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

We present a general study of the large family of exact integrable quantum chains with multispin interactions introduced recently in \cite{AP2020}. The exact integrability follows from the algebraic properties of the energy density…

Statistical Mechanics · Physics 2021-01-04 Francisco C. Alcaraz , Rodrigo A. Pimenta

Coordinate scaling of each spin density separately is considered in spin density functional theory. A virial theorem relates the spin-scaled correlation energy to the spin-scaled correlation potentials. An adiabatic connection formula…

Materials Science · Physics 2009-11-07 R. J. Magyar , T. K. Whittingham , K. Burke

We study the correlation functions of quantum spin $1/2$ ladders at finite temperature, under a magnetic field, in the gapless phase at various relevant temperatures $T\neq 0$, momentum $q$ and frequencies $\omega$. We compute those…

Strongly Correlated Electrons · Physics 2019-05-15 N. Kestin , T. Giamarchi

An Ornstein-Zernike approximation for the two-body correlation function embodying thermodynamic consistency is applied to a system of classical Heisenberg spins on a three-dimensional lattice. The consistency condition determined in a…

Statistical Mechanics · Physics 2009-11-07 D. Pini , J. S. Hoye , G. Stell

We provide the eigenfunctions for a quantum chain of $N$ conformal spins with nearest-neighbor interaction and open boundary conditions in the irreducible representation of $SO(1,5)$ of scaling dimension $\Delta = 2 - i \lambda$ and spin…

High Energy Physics - Theory · Physics 2020-07-22 Sergey Derkachov , Enrico Olivucci

We present a Green's-function theory of magnetic short-range order in the $S=1/2$ easy-plane XXZ chain based on the projection method for the dynamic spin susceptibility and a decoupling of three-spin operator products introducing vertex…

Strongly Correlated Electrons · Physics 2009-10-31 C. Schindelin , H. Fehske , H. Büttner , D. Ihle