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The spin-1/2 quantum Heisenberg model is studied in all spatial dimensions d by renormalization-group theory. Strongly asymmetric phase diagrams in temperature and antiferromagnetic bond probability p are obtained in dimensions d \geq 3.…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Nadir Kaplan , A. Nihat Berker

The zero-temperature phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on an $AA$-stacked square-lattice bilayer is studied using the coupled cluster method implemented to very high orders. Both…

Strongly Correlated Electrons · Physics 2019-07-03 R. F. Bishop , P. H. Y. Li , O. Götze , J. Richter

The correlated spin dynamics and the temperature dependence of the correlation length $\xi(T)$ in two-dimensional quantum ($S=1/2$) Heisenberg antiferromagnets (2DQHAF) on square lattice are discussed in the light of experimental results of…

Strongly Correlated Electrons · Physics 2009-10-31 P. Carretta , T. Ciabattoni , A. Cuccoli , E. Mognaschi , A. Rigamonti , V. Tognetti , P. Verrucchi

We investigate the thermodynamic properties of Heisenberg ferrimagnetic mixed-spin chains both numerically and analytically with particular emphasis on the combination of ferromagnetic and antiferromagnetic features. Employing a new…

Statistical Mechanics · Physics 2009-10-31 Shoji Yamamoto , Takahiro Fukui , Klaus Maisinger , Ulrich Schollwöck

Thermodynamic characteristics of Fermi systems are investigated in the vicinity of a phase transition where the effective mass diverges and the single-particle spectrum becomes flat. It is demonstrated that at extremely low temperatures…

Strongly Correlated Electrons · Physics 2009-11-10 J. W. Clark , V. A. Khodel , M. V. Zverev

The magnetic susceptibility $\chi(T)$ of spin-1/2 chains is widely used to quantify exchange interactions, even though $\chi(T)$ is similar for different combinations of ferromagnetic $J_1$ between first neighbors and antiferromagnetic…

Strongly Correlated Electrons · Physics 2018-03-14 Dayasindhu Dey , Manoranjan Kumar , Siân E. Dutton , Robert J. Cava , Zoltán G. Soos

In the paper the Pair Approximation (PA) method for studies of the site-diluted spin-1/2 systems of arbitrary dimensionality with the long-range ferromagnetic interactions is adopted. The method allows to take into account arbitrary…

Statistical Mechanics · Physics 2014-03-26 Karol Szałowski , Tadeusz Balcerzak

The wavevector and temperature dependent static spin susceptibility, \chi_s(Q,T), of clean interacting Fermi systems is considered in dimensions 1\leq d \leq 3. We show that at zero temperature \chi_s is a nonanalytic function of |Q|, with…

Statistical Mechanics · Physics 2009-10-28 D. Belitz , T. R. Kirkpatrick , Thomas Vojta

Using the PQSCHA semiclassical method, we evaluate thermodynamic quantities of one-dimensional Heisenberg ferro- and antiferromagnets. Since the PQSCHA reduces their evaluation to classical-like calculations, we take advantage of Fisher's…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Paola Verrucchi , Ruggero Vaia

The relevance of zero-energy functions, coming from zero-energy modes and present in the structure of bosonic Green's functions, is often underestimated. Usually, their values are fixed by assuming the ergodicity of the dynamics, but it can…

Strongly Correlated Electrons · Physics 2007-05-23 M. Bak , A. Avella , F. Mancini

We construct thermodynamics of the one-dimensional supersymmetric {\it t-J} model with the $ 1/\sin^2$ interaction and hopping. The thermodynamics is described exactly in terms of free spinons and holons obeying Haldane's fractional…

Condensed Matter · Physics 2007-05-23 Yusuke Kato , Yoshio Kuramoto

We investigate the low-temperature thermodynamics of the spin-1/2 Heisenberg chain with open ends. On the basis of boundary conformal field theory arguments and numerical density matrix renormalization group calculations, it is established…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto , Sebastian Eggert

In this study, we investigate the finite-temperature properties of the spin-1/2 $J_1-J_2$ Heisenberg model on the kagome lattice using the orthogonalized finite-temperature Lanczos method. Under a zero magnetic field, the specific heat…

Strongly Correlated Electrons · Physics 2023-11-10 Katsuhiro Morita

Using a combination of quantum Monte Carlo simulations in adapted cluster bases, the finite temperature Lanczos method, and an effective Hamiltonian approach, we explore the thermodynamic properties of the spin-1/2 Heisenberg…

Strongly Correlated Electrons · Physics 2023-11-23 Adrien Reingruber , Nils Caci , Stefan Wessel , Johannes Richter

We study scaling behavior in 2D, S=1/2 and S=1 Heisenberg antiferromagnets using the data on full q-dependences of the equal time structure factor and the static susceptibility, calculated through high temperature expansions. We also carry…

Condensed Matter · Physics 2009-10-22 N. Elstner , R. L. Glenister , R. R. P. Singh , A. Sokol

We present results for the dynamic structure factor of the S=1/2 bond alternating Heisenberg chain over a large range of frequencies and temperatures. Data are obtained from a numerical evaluation of thermal averages based on the…

Strongly Correlated Electrons · Physics 2009-11-11 H. -J. Mikeska , C. Luckmann

The temperature-dependent uniform magnetic susceptibility of interacting electrons in one dimension is calculated using several methods. At low temperature, the renormalization group reaveals that the Luttinger liquid spin susceptibility…

Strongly Correlated Electrons · Physics 2009-10-31 H. Nélisse , C. Bourbonnais , H. Touchette , Y. M. Vilk , A. -M. S. Tremblay

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

Low-temperature magnetization curves and thermodynamics of a frustrated spin-1/2 Heisenberg triangular bilayer with the antiferromagnetic intradimer interaction and either ferromagnetic or antiferromagnetic interdimer interaction are…

Statistical Mechanics · Physics 2018-11-28 Jozef Strecka , Katarina Karlova , Vasyl Baliha , Oleg Derzhko

We use our recently developed functional renormalization group (FRG) approach for quantum spin systems to investigate the phase diagram of the frustrated $J_{1}J_{2}J_{3}$ quantum Heisenberg model on a cubic lattice. From a simple…

Strongly Correlated Electrons · Physics 2023-02-28 Dmytro Tarasevych , Andreas Rückriegel , Savio Keupert , Vasilios Mitsiioannou , Peter Kopietz
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