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On the phase diagram of a system undergoing a continuous phase transition of the second order, three lines, hyper-surfaces, convergent into the critical point feature prominently: the ordered and disordered phases in the thermodynamic…

Statistical Mechanics · Physics 2013-07-16 A. Kashuba

We study the phase diagram and multicritical behavior of anisotropic Heisenberg antiferromagnets on a square lattice in the presence of a magnetic field along the easy axis. We argue that, beside the Ising and XY critical lines, the phase…

Statistical Mechanics · Physics 2009-11-13 Andrea Pelissetto , Ettore Vicari

Quasiperiodic systems are aperiodic but deterministic, so their critical behavior differs from that of clean systems as well as disordered ones. Quasiperiodic criticality was previously understood only in the special limit where the…

Disordered Systems and Neural Networks · Physics 2020-05-12 Utkarsh Agrawal , Sarang Gopalakrishnan , Romain Vasseur

Symmetry properties of the microcanonical entropy surface as a function of the energy and the order parameter are deduced from the invariance group of the Hamiltonian of the physical system. The consequences of these symmetries for the…

Statistical Mechanics · Physics 2009-11-10 Hans Behringer

We explore the ferromagnetic quantum critical point in a three-dimensional semimetallic system with upward- and downward-dispersing bands touching at the Fermi level. Evaluating the static spin susceptibility to leading order in the…

Strongly Correlated Electrons · Physics 2015-07-29 James M. Murray , Oskar Vafek , Leon Balents

Antiferromagnetic Hamiltonians with short-range, non-frustrating interactions are well-known to exhibit long range magnetic order in dimensions, $d\geq 2$ but exhibit only quasi long range order, with power law decay of correlations, in d=1…

Strongly Correlated Electrons · Physics 2007-05-23 Nicolas Laflorencie , Ian Affleck , Mona Berciu

In this paper, we study the itinerant ferromagnetic phase in multi-component fermionic systems with symplectic (Sp(4), or isomorphically SO(5)) symmetry. Two different microscopic models have been considered and an effective field theory…

Quantum Gases · Physics 2020-03-20 Zi Cai , Congjun Wu

Critical and compensation properties of a mixed spin-1 and spin-3/2 Ising ferrimagnet on a square lattice are investigated by standard and histogram Monte Carlo simulations. The critical temperature is studied as a function of a single-ion…

Statistical Mechanics · Physics 2012-12-24 M. Žukovič , A. Bobák

We propose a phenomenological spin fluctuation theory for antiferromagnetic quantum tricritical point (QTCP), where the first-order phase transition changes into the continuous one at zero temperature. Under magnetic fields, ferromagnetic…

Strongly Correlated Electrons · Physics 2010-10-20 Takahiro Misawa , Youhei Yamaji , Masatoshi Imada

Critical points of an invariant function may or may not be symmetric. We prove, however, that if a symmetric critical point exists, those adjacent to it are generically symmetry breaking. This mathematical mechanism is shown to carry…

Machine Learning · Computer Science 2024-08-27 Yossi Arjevani

We propose an effective theory for the critical phase of a quantum ferrimagnetic chain with alternating spins 1 and 1/2 in an external magnetic field. With the help of the matrix product variational approach, the system is mapped to a…

Strongly Correlated Electrons · Physics 2009-10-31 A. K. Kolezhuk , H. -J. Mikeska , K. Maisinger , U. Schollwock

The permutation model is a classical spin system where elements of the symmetric group interact with one another. The partition function of this model is directly related to the entanglement structure of random quantum circuits and random…

Statistical Mechanics · Physics 2026-05-26 Ryuki Ito , Taisei Matsuo , Masayuki Ohzeki

The low energy properties of the spin-1/2 random Heisenberg chain with ferromagnetic and antiferromagnetic interactions are studied by means of the density matrix renormalization group (DMRG) and real space renormalization group (RSRG)…

Statistical Mechanics · Physics 2009-10-28 Kazuo Hida

Engineering long-range interactions in experimental platforms has been achieved with great success in a large variety of quantum systems in recent years. Inspired by this progress, we propose a generalization of the classical Hamiltonian…

Statistical Mechanics · Physics 2022-09-15 Harald Schmid , Johannes Dieplinger , Andrea Solfanelli , Sauro Succi , Stefano Ruffo

The interpretation of the magnetic phase diagrams of strongly correlated electron systems remains controversial. In particular, the physics of quantum phase transitions, which occur at zero temperature, is still enigmatic. Heavy-fermion…

Strongly Correlated Electrons · Physics 2012-11-08 W. Knafo , S. Raymond , P. Lejay , J. Flouquet

The spontaneous breaking of non-invertible symmetries can lead to exotic phenomena such as coexistence of order and disorder. Here we explore second-order phase transitions in 1d spin chains between two phases that correspond to distinct…

Strongly Correlated Electrons · Physics 2025-12-12 Yu-Hsueh Chen , Tarun Grover

Feedback effects due to spin fluctuation induced precursors in the fermionic quasiparticle spectrum are taken into account in the description of a quantum critical point of itinerant spin systems. A correlation length dependent spin damping…

Strongly Correlated Electrons · Physics 2007-05-23 Joerg Schmalian

A comprehensive comparison between the magnetic field- and temperature-dependent low frequency spin dynamics in the antiferromagnetic spin-1/2 Heisenberg chain (AFHC) system copper pyrazine dinitrate, probed via the 13C-nuclear magnetic…

Strongly Correlated Electrons · Physics 2015-05-19 H. Kuehne , A. A. Zvyagin , M. Guenther , A. P. Reyes , P. L. Kuhns , M. M. Turnbull , C. P. Landee , H. -H. Klauss

The spherical spin model with infinite-range ferromagnetic interactions is investigated analytically in the framework of non-extensive thermostatics generalizing the Boltzmann-Gibbs statistical mechanics. We show that for repulsive…

Statistical Mechanics · Physics 2008-12-18 Robert Botet , Marek Ploszajczak , Jorge A. Gonzalez

Critical end points and tricritical points are multicritical points that separate lines of continuous transitions from lines of first order transitions in the phase diagram of many systems. In models like the spin-1 disordered Blume-Capel…

Statistical Mechanics · Physics 2023-06-12 Soheli Mukherjee , Sumedha