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In this letter we analyze the TAP approach to the spherical $p$-spin spin glass model in zero external field. The TAP free energy is derived by summing up all the relevant diagrams for $N\to\infty$ of a diagrammatic expansion of the free…

Condensed Matter · Physics 2007-05-23 A. Crisanti , H. -J. Sommers

Motivated by the recent success in describing the spin and orbital spectrum of a spin-orbital chain using a large-N mean-field approximation [Phys. Rev. B 91, 165102 (2015)], we apply the same formalism to the case of a spin chain in the…

Strongly Correlated Electrons · Physics 2015-04-07 Krzysztof Wohlfeld , Cheng-Chien Chen , Michel van Veenendaal , Thomas P. Devereaux

We use the concept of typicality to study the real-time dynamics of spin and energy currents in spin-1/2 models in one dimension and at nonzero temperatures. These chains are the integrable XXZ chain and a nonintegrable modification due to…

Strongly Correlated Electrons · Physics 2015-03-10 Robin Steinigeweg , Jochen Gemmer , Wolfram Brenig

A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t-W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by…

Mathematical Physics · Physics 2021-11-12 Pengcheng Lu , Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

NMR measurements of the electron spin polarization have been performed on a 2D electron system at and around half-filled lowest Landau level. Comparing the magnetic field and the temperature dependence of the spin polarization to models of…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 N. Freytag , M. Horvatić , C. Berthier , M. Shayegan , L. P. Lévy

We construct explicit examples of microscopic models that stabilize a variety of fractionalized phases of strongly correlated systems in spatial dimension bigger than one, and in zero external magnetic field. These include models of charge…

Superconductivity · Physics 2009-11-07 T. Senthil , O. Motrunich

Using an extended Lee-Yang theorem and GKS correlation inequalities, we prove, for a class of ferromagnetic multi-spin interactions, that they will have a phase transition(and spontaneous magnetization) if, and only if, the external field…

Statistical Mechanics · Physics 2015-05-19 Joel L. Lebowitz , David Ruelle

A previously introduced real space renormalization-group treatment of the random transverse-field Ising spin chain is extended to provide detailed information on the distribution of the energy gap and the end-to-end correlation function for…

Condensed Matter · Physics 2009-10-31 Daniel S. Fisher , A. P. Young

We study the random XY spin chain in a transverse field by analyzing the susceptibility of the ground state fidelity, numerically evaluated through a standard mapping of the model onto quasi-free fermions. It is found that the fidelity…

Quantum Physics · Physics 2009-02-05 Silvano Garnerone , N. Tobias Jacobson , Stephan Haas , Paolo Zanardi

Motivated by a recent inelastic neutron scattering experiment on $\mathrm{YbMgGaO}_4$ \cite{William2019}, we reinvestigate the homogeneous spin model on the triangular lattice. Using the cluster mean-field theory, we study the phase diagram…

Strongly Correlated Electrons · Physics 2021-03-17 Shaozhi Li

We study the dynamics of spin flipping at first order transitions in zero temperature two-dimensional random-field Ising model driven by an external field. We find a critical value of the disorder strength at which a discontinuous sharp…

Statistical Mechanics · Physics 2009-11-10 Ratnadeep Roy , Purusattam Ray

We have performed a Quantum Monte Carlo study of a two-dimensional bulk sample of interacting 1/2-spin structureless fermions, a model of $^3$He adsorbed on a variety of preplated graphite substrates. We have computed the equation of state…

Statistical Mechanics · Physics 2015-05-27 M. Nava , E. Vitali , A. Motta , D. E. Galli , S. Moroni

The cactus approximation in the cluster variation method is applied to the spin ice system with nearest neighbor ferromagnetic coupling. The temperature dependences of the entropy and the specific heat show qualitatively good agreement with…

Statistical Mechanics · Physics 2009-11-07 S. Yoshida , K. Nemoto , K. Wada

We propose an analytical ansatz, using which the ordering temperature of a quasi-one-dimensional (quasi-1D) antiferromagnetic (AF) system (weakly coupled quantum spin-1/2 chains) in the presence of the external magnetic field is calculated.…

Strongly Correlated Electrons · Physics 2015-05-19 A. A. Zvyagin

A subsystem of an entangled ground state is in a mixed state. Thus, if we isolate this subsystem from its surroundings we may be able to extract work applying unitary transformations, up to a maximal amount which is called ergotropy. Once…

The extended dynamical mean field theory has played an important role in the study of quantum phase transitions in heavy fermion systems. In order to incorporate the physics of unconventional superconductivity, we develop a cluster version…

Strongly Correlated Electrons · Physics 2015-05-19 J. H. Pixley , Ang Cai , Qimiao Si

Various methods achieving importance sampling in ensembles of nonequilibrium trajectories enable to estimate free energy differences and, by maximum-likelihood post-processing, to reconstruct free energy landscapes. Here, based on Bayes…

Statistical Mechanics · Physics 2010-07-02 Manuel Athènes , Mihai-Cosmin Marinica

We propose a dynamical scheme for the combined processes of fragmentation and merging as a model system for cluster dynamics in nature and society displaying scale invariant properties. The clusters merge and fragment with rates…

Statistical Mechanics · Physics 2009-11-11 Jesper Ferkinghoff-Borg , Mogens H. Jensen , Joachim Mathiesen , Poul Olesen

Hysteresis is studied for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in an oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on large systems and strong field…

Statistical Mechanics · Physics 2009-10-31 S. W. Sides , P. A. Rikvold , M. A. Novotny

We study thermodynamic behaviors of the antiferromagnetic zigzag spin chain in magnetic fields, using the density-matrix renormalization group method for the quantum transfer matrix. We focus on the thermodynamics of the system near the…

Statistical Mechanics · Physics 2009-10-31 Nobuya Maeshima , Kouichi Okunishi
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