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The exotic nature of many strongly correlated materials at reasonably high temperatures, for instance cuprate superconductors in their normal state, has lead to the suggestion that such behavior occurs within a quantum critical region where…

Strongly Correlated Electrons · Physics 2007-11-30 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

We study the phase diagram and critical properties of quantum Ising chains with long-range ferromagnetic interactions decaying in a power-law fashion with exponent $\alpha$, in regimes of direct interest for current trapped ion experiments.…

Statistical Mechanics · Physics 2021-10-13 E. Gonzalez-Lazo , M. Heyl , M. Dalmonte , A. Angelone

Attempts to understand zero temperature phase transitions have forced physicists to consider a regime where the standard paradigms of condensed matter physics break down [1-4]. These quantum critical systems lack a simple description in…

Quantum Gases · Physics 2012-07-04 Kaden R. A. Hazzard , Erich J. Mueller

We consider finite temperature properties of the Ising chain in a transverse field in the vicinity of its zero temperature, second order quantum phase transition. New universal crossover functions for static and dynamic correlators of the…

Condensed Matter · Physics 2009-10-28 Subir Sachdev

Critical thermodynamics close to a metamagnetic quantum critical endpoint (QCEP) in a metal is discussed within the framework of spin-fluctuation theory. We analyze the effective potential for the Ising order parameter that is renormalized…

Strongly Correlated Electrons · Physics 2015-06-15 Mario Zacharias , Markus Garst

The low-temperature properties and crossover phenomena of $d$-dimensional transverse Ising-like systems within the influence domain of the quantum critical point are investigated solving the appropriate one-loop renormalization group…

Statistical Mechanics · Physics 2009-11-10 A. Caramico D'Auria , L. De Cesare , I. Rabuffo

Quantum phase transitions occur at zero temperature upon variation of some nonthermal control parameters. The Ising chain in a transverse field is probably the most-studied model undergoing such a transition, from ferromagnetic to…

Strongly Correlated Electrons · Physics 2011-03-02 Y. F. Dai , H. Zhang , S. Y. Zhou , B. Y. Pan , X. Qiu , X. C. Hong , T. Y. Guan , J. K. Dong , Y. Chen , S. Y. Li

Temperature estimation of interacting quantum many-body systems is both a challenging task and topic of interest in quantum metrology, given that critical behavior at phase transitions can boost the metrological sensitivity. Here we study…

Quantum Physics · Physics 2023-12-05 Mei Yu , H. Chau Nguyen , Stefan Nimmrichter

We study the phase diagram and quantum critical region of one of the fundamental models for electronic correlations: the periodic Anderson model. Employing the recently developed dynamical vertex approximation, we find a phase transition…

Strongly Correlated Electrons · Physics 2019-06-07 T. Schäfer , A. A. Katanin , M. Kitatani , A. Toschi , K. Held

The quantum critical regime (QCR) of a two-dimensional (2D) disordered and a 2D clean dimerized spin-$\frac{1}{2}$ Heisenberg models are studied using the first principles nonperturbative quantum Monte Carlo simulations (QMC). In…

Strongly Correlated Electrons · Physics 2018-12-19 D. -R. Tan , F. -J. Jiang

We investigate pairwise quantum correlation as measured by the quantum discord as well as its classical counterpart in the thermodynamic limit of anisotropic XY spin-1/2 chains in a transverse magnetic field for both zero and finite…

Quantum Physics · Physics 2015-03-13 J. Maziero , H. C. Guzman , L. C. Celeri , M. S. Sarandy , R. M. Serra

The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N)-symmetric, relativistic, quantum field theory of a N-component scalar field in $d$ spatial dimensions. A…

Strongly Correlated Electrons · Physics 2025-09-08 Subir Sachdev

In quantum statistical mechanics, finite-temperature phase transitions are typically governed by classical field theories. In this context, the role of quantum correlations is unclear: recent contributions have shown how entanglement is…

Statistical Mechanics · Physics 2022-02-08 Poetri Sonya Tarabunga , Tiago Mendes-Santos , Fabrizio Illuminati , Marcello Dalmonte

We investigate quantum entanglement in two-spin-1/2 NMR systems at thermal equilibrium under external magnetic fields. We derive closed-form analytical expressions for the entanglement of the system and show how the entanglement depends on…

Quantum Physics · Physics 2025-12-02 Fatemeh Khashami , Stefan Glöggler

In this paper the three dimensional random field Ising model is studied at both zero temperature and positive temperature. Critical exponents are extracted at zero temperature by finite size scaling analysis of large discontinuities in the…

Statistical Mechanics · Physics 2009-11-11 Yong Wu , Jonathan Machta

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

Quantum criticality, being important as an indicator of new quantum matters emerging, is known to occur only at zero or low temperature. We find that a quantum probe, if its coherence time is long, can detect quantum criticality at…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Shao-Wen Chen , Ren-Bao Liu

We propose a scheme to characterize long-range quantum entanglement close to a finite temperature critical point using tripartite entanglement negativity. As an application, we study a model with mean-field Ising critical exponents and find…

Strongly Correlated Electrons · Physics 2020-12-11 Tsung-Cheng Lu , Tarun Grover

We develop a novel approach to phase transitions in quantum spin models based on a relation to their classical counterparts. Explicitly, we show that whenever chessboard estimates can be used to prove a phase transition in the classical…

Mathematical Physics · Physics 2011-11-10 Marek Biskup , Lincoln Chayes , Shannon Starr

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character…

Statistical Mechanics · Physics 2007-05-23 Philipp Werner , Klaus Voelker , Matthias Troyer , Sudip Chakravarty