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For an anisotropic euclidean $\phi^4$-theory with two interactions $[u (\sum_{i=1^M {\phi}_i^2)^2+v \sum_{i=1}^M \phi_i^4]$ the $\beta$-functions are calculated from five-loop perturbation expansions in $d=4-\varepsilon$ dimensions, using…

Quantum Physics · Physics 2009-10-30 H. Kleinert , S. Thoms , V. Schulte-Frohlinde

A 2D Fully Frustrated XY(FFXY) class of models is shown to contain a new groundstate in addition to the checkerboard groundstates of the standard 2D FFXY model. The spin configuration of this additional groundstate is obtained. Associated…

Statistical Mechanics · Physics 2008-11-25 Petter Minnhagen , Beom Jun Kim , Sebastian Bernhardsson , Gerardo Cristofano

Quantum corrections of the biquadratic interaction in the 1D spin-1/2 frustrated ferromagnetic Heisenberg model are studied. The biquadratic interaction for spin-1/2 chains is eliminated and transformed to the quadratic interaction. Doing a…

Strongly Correlated Electrons · Physics 2015-01-23 Javad Vahedi , Saeed Mahdavifar

Simulating low-temperature properties of three-dimensional frustrated quantum magnets is challenging due to the sign problem and the system sizes required to mitigate substantial finite-size effects. However, there are many experimental…

Strongly Correlated Electrons · Physics 2026-02-11 Rajah P. Nutakki , Filippo Vicentini

We study geometrically frustrated antiferromagnets with magnetoelastic coupling. Frustration in these systems may be relieved by a structural transition to a low temperature phase with reduced lattice symmetry. We examine the statistical…

Strongly Correlated Electrons · Physics 2008-06-30 Timothy E. Saunders , John T. Chalker

The $1/4$-filled organic compound, $\delta$-(EDT-TTF-CONMe$_{2}$)$_{2}$AsF$_6$ is a frustrated two-dimensional triangular magnetic system as shown by high-frequency (111.2 and 222.4 GHz) electron spin resonance (ESR) and structural data in…

Strongly Correlated Electrons · Physics 2016-11-22 B. Náfrádi , A. Antal , T. Fehér , L. F. Kiss , C. Mézière , P. Batail , L. Forró , A. Jánossy

The two-dimensional frustrated next nearest neighbor Heisenberg model on the square lattice is a prime example for a spin system where quantum fluctuations can either destroy or stabilize magnetic order. The phase boundaries and staggered…

Strongly Correlated Electrons · Physics 2011-03-11 Burkhard Schmidt , Mohammad Siahatgar , Peter Thalmeier

We construct frustrated antiferromagnetic spin ladders with m chains for which the exact ground state can be determined in a particular parameter regime. The excitation spectrum is shown rigorously to be gapless ( with gap ) for odd ( even…

Strongly Correlated Electrons · Physics 2009-10-28 Asimkumar Ghosh , Indrani Bose

Quantum fluctuations become particularly relevant in highly frustrated quantum magnets and can lead to new states of matter. We provide a simple and robust scenario for inducing magnetic vortex crystals in frustrated Mott insulators. By…

Strongly Correlated Electrons · Physics 2014-03-04 Yoshitomo Kamiya , Cristian D. Batista

In real magnets the tendency towards ferromagnetism, promoted by exchange coupling, is usually frustrated by dipolar interaction. As a result, the uniformly ordered phase is replaced by modulated (multi-domain) phases, characterized by…

Statistical Mechanics · Physics 2018-12-26 Sergio A. Cannas , Alessandro Vindigni

The magnetic properties and Mott transition of the Hubbard model on the square lattice with frustration are studied at half-filling and zero temperature by the variational cluster approximation. When the on-site repulsion $U$ is large,…

Strongly Correlated Electrons · Physics 2015-06-15 A. Yamada , K. Seki , R. Eder , Y. Ohta

We study the ground state phase diagram of a frustrated spin-1/2 four-leg tube. Using a variety of complementary techniques, namely density matrix renormalization group, exact diagonalization, Schwinger boson mean field theory, quantum…

Strongly Correlated Electrons · Physics 2015-06-11 M. Arlego , W. Brenig , Y. Rahnavard , B. Willenberg , H. D. Rosales , G. Rossini

For two spatially anisotropic, SU(2)-invariant models of frustrated magnets in arbitrary space dimension we present a non-perturbative proof of the existence of neutral spin-1/2 excitations (spinons). In one model the frustration is static…

Strongly Correlated Electrons · Physics 2009-11-07 A. A. Nersesyan , A. M. Tsvelik

In this paper, we study phase structure of $Z_2$ lattice gauge theories that appear as an effective field theory describing low-energy properties of frustrated antiferromagnets in two dimensions. Spin operators are expressed in terms of…

Strongly Correlated Electrons · Physics 2015-05-14 K. Nakane , A. Shimizu , I. Ichinose

We study states with spontaneous spin current, emerging in frustrated antiferromagnetic spin-$S$ chains subject to a strong external magnetic field. As a numerical tool, we use a non-Abelian symmetry realization of the density matrix…

Strongly Correlated Electrons · Physics 2009-09-21 A. K. Kolezhuk , I. P. McCulloch

Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral…

Strongly Correlated Electrons · Physics 2025-06-03 A. S. Gubina , T. Ziman , M. E. Zhitomirsky

The study of quantum frustrated systems remains one of the most challenging subjects of quantum magnetism, as they can hold quantum spin liquids, whose characterization is quite elusive. The presence of gapped quantum spin liquids…

Strongly Correlated Electrons · Physics 2019-10-16 D. Castells-Graells , A. Yuste , A. Sanpera

In view of its physical importance in predicting the order of chiral phase transitions in QCD and frustrated spin systems, we perform the conformal bootstrap program of $O(n)\times O(2)$-symmetric conformal field theories in $d=3$…

High Energy Physics - Theory · Physics 2015-06-22 Yu Nakayama , Tomoki Ohtsuki

We study the phase diagram of a frustrated spin-1/2 ferromagnetic chain with anisotropic exchange interactions in an external magnetic field, using the density matrix renormalization group method. We show that an easy-axis anisotropy…

Strongly Correlated Electrons · Physics 2009-10-29 F. Heidrich-Meisner , I. P. McCulloch , A. K. Kolezhuk

We study a frustrated antiferromagnetic isotropic Heisenberg $S=1$ chain using a variational ansatz and the DMRG. At $\alpha_D=0.284(1)$, there is a disorder point of the second kind, marking the onset of incommensurate correlations in the…

Condensed Matter · Physics 2009-10-28 A. Kolezhuk , R. Roth , U. Schollwoeck
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