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Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick…

Disordered Systems and Neural Networks · Physics 2011-10-21 A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes

We study the problem of testing and recovering $k$-clique Ferromagnetic mean shift in the planted Sherrington-Kirkpatrick model (i.e., a type of spin glass model) with $n$ spins. The planted SK model -- a stylized mixture of an uncountable…

Statistics Theory · Mathematics 2024-03-25 Yihan He , Han Liu , Jianqing Fan

We study via renormalization group (RG) and large N methods the problem of continuum SU(N) quantum Heisenberg ferromagnets (QHF) coupled to gapless electrons. We establish the phase diagram of the dissipative problem and investigate the…

Strongly Correlated Electrons · Physics 2015-06-24 Antonio H. Castro Neto , Marcello B. Silva Neto

Infinite-range spin-glass models with Levy-distributed interactions show a spin-glass transition with similarities to both the Sherrington-Kirkpatrick model and to disordered spin systems on finite connectivity random graphs. Despite the…

Disordered Systems and Neural Networks · Physics 2009-11-13 K. Janzen , A. K. Hartmann , A. Engel

We study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Ryuichi Shindou , Gregory A. Fiete , Leon Balents

Combining high-temperature expansions with the recursion method and quantum Monte Carlo simulations with the maximum entropy method, we study the dynamics of the spin-1/2 Heisenberg chain at temperatures above and below the coupling J. By…

Strongly Correlated Electrons · Physics 2009-10-30 O. A. Starykh , A. W. Sandvik , R. R. P. Singh

Inelastic neutron scattering technique is employed to investigate the paramagnetic spin dynamics in a single crystalline sample of the magnetocaloric compound MnFe$_4$Si$_3$. In the investigated temperature range, 1.033$\times T_{C}$ to…

Materials Science · Physics 2025-02-21 N. Biniskos , K. Schmalzl , J. Persson , S. Raymond

In the present paper we analyze the critical properties of a quantum spherical spin glass model with short range, random interactions. Since the model allows for rigorous detailed calculations, we can show how the effective partition…

Disordered Systems and Neural Networks · Physics 2008-06-10 Pedro Castro Menezes , Alba Theumann

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

Strongly Correlated Electrons · Physics 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

The microscopic probability distribution function of the Sherrington-Kirkpatrick (SK) model of spin glasses is calculated explicitly as a function of time by a high-temperature expansion. The resulting formula to the third order of the…

Condensed Matter · Physics 2009-10-28 Hidetoshi Nishimori , Michiko Yamana

We study quantum spin-1/2 Heisenberg ferromagnetic chains with dilute, random antiferromagnetic impurity bonds with modified spin-wave theory. By describing thermal excitations in the language of spin waves, we successfully observe a…

Disordered Systems and Neural Networks · Physics 2009-11-07 Xin Wan , Kun Yang , Chenggang Zhou , R. N. Bhatt

The thermodynamics of the classical frustrated spin chain near the transition point between the ferromagnetic and the helical phases is studied. The calculation of the partition and spin correlation functions at low temperature limit is…

Statistical Mechanics · Physics 2015-05-19 D. V. Dmitriev , V. Ya. Krivnov

The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperatures $T$ are introduced by compactifying one spatial dimension, which makes all thermodynamical…

High Energy Physics - Phenomenology · Physics 2018-10-19 Ehsan Ebadati , Hugo Reinhardt , Peter Vastag

We solve the fermionic version of the Ising spin glass for arbitrary filling \mu and temperature T taking into account replica symmetry breaking. Using a simple exact mapping from \mu to the anisotropy parameter D, we also obtain the…

Statistical Mechanics · Physics 2009-10-31 H. Feldmann , R. Oppermann

The stranglehold of low temperatures on fascinating quantum phenomena in one-dimensional quantum magnets has been challenged recently by the discovery of anomalous spin transport at high temperatures. Whereas both regimes have been…

Strongly Correlated Electrons · Physics 2021-09-01 Maxime Dupont , Nicholas E. Sherman , Joel E. Moore

Recent work on the zero temperature phases and phase transitions of strongly random electronic system is reviewed. The transition between the spin glass and quantum paramagnet is examined, for both metallic and insulating systems. Insight…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , N. Read

Following an original idea of F. Guerra, in this notes we analyze the Sherrington-Kirkpatrick model from different perspectives, all sharing the underlying approach which consists in linking the resolution of the statistical mechanics of…

Disordered Systems and Neural Networks · Physics 2013-04-10 Adriano Barra , Gino Del Ferraro , Daniele Tantari

This work is concerned with thermal quantum states of Hamiltonians on spin and fermionic lattice systems with short range interactions. We provide results leading to a local definition of temperature, thereby extending the notion of…

Quantum Physics · Physics 2014-08-04 M. Kliesch , C. Gogolin , M. J. Kastoryano , A. Riera , J. Eisert

The thermodynamics of finite open antiferromagnetic XXZ chains is studied using field theory, Bethe Ansatz and quantum Monte Carlo methods. For the susceptibility a parameter-free result as a function of the number of sites L and…

Strongly Correlated Electrons · Physics 2008-03-03 J. Sirker , S. Fujimoto , N. Laflorencie , S. Eggert , I. Affleck
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