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We study quantum criticality in the infinite range Transverse-Field Ising Model. We find subtle differences with respect to the well-known single-site mean-field theory, especially in terms of gap, entanglement and quantum criticality. The…

强关联电子 · 物理学 2024-08-28 Nicholas Curro , Kaeshav Danesh , Rajiv R. P. Singh

We analyze the scaling parameter, extracted from the fidelity for two different ground states, for the one-dimensional quantum Ising model in a transverse field near the critical point. It is found that, in the thermodynamic limit, the…

统计力学 · 物理学 2009-11-13 Huan-Qiang Zhou , Jian-Hui Zhao , Bo Li

Quantum fluctuations can give rise to a singular quantum critical point (QCP) in the ground state, whose influence extends to finite temperatures, forming a quantum critical regime (QCR). Recently, it has been shown that in the quantum…

强关联电子 · 物理学 2026-03-31 Haoshun Chen , Enze Lv , Ning Xi , Fei Ye , Wei Li

The nondivergence of the generalized Gr\"uneisen ratio (GR) at a quantum critical point (QCP) has been proposed to be a universal thermodynamic signature of self-duality. In this work, we study how the Kramers-Wannier-type self-duality…

强关联电子 · 物理学 2023-01-10 Long Zhang , Chengxiang Ding

Entropy accumulation near a quantum critical point was expected based on general scaling arguments, and has recently been explicitly observed. We explore this issue further in two canonical models for quantum criticality, with particular…

强关联电子 · 物理学 2011-04-04 Jianda Wu , Lijun Zhu , Qimiao Si

The transverse field Ising chain (TFIC) model is ideally suited for testing the fundamental ideas of quantum phase transitions, because its well-known $T=0$ ground state can be extrapolated to finite temperatures. Nonetheless, the lack of…

强关联电子 · 物理学 2014-07-17 A. W. Kinross , M. Fu , T. J. Munsie , H. A. Dabkowska , G. M. Luke , S. Sachdev , T. Imai

Quantum critical points ubiquitously emerge in strongly correlated systems, with their influence persisting at finite temperatures and external fields. A paradigmatic example is the quantum Ising magnet, where transverse field $g$…

强关联电子 · 物理学 2025-12-08 Enze Lv , Ning Xi , Yuliang Jin , Wei Li

We discuss the thermal entanglement close to a quantum phase transition by analyzing the concurrence for one dimensional models in the quantum Ising universality class. We demonstrate that the entanglement sensitivity to thermal and to…

统计力学 · 物理学 2015-06-25 Luigi Amico , Dario Patane`

Bounded by crossover lines exhibiting universal scaling, the supercritical regime above the critical endpoint is characterized by strong fluctuations and intriguing phenomena. In this study, we extend this notable concept of supercritical…

强关联电子 · 物理学 2025-11-21 Junsen Wang , Enze Lv , Xinyang Li , Yuliang Jin , Wei Li

In the vicinity of the quantum critical point(QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it is reflected in quantum dynamics has not been addressed.…

强关联电子 · 物理学 2022-12-01 Chisa Hotta , Tempei Yoshida , Kenji Harada

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well as the order parameter fluctuations inside the quantum critical region provide valuable information about universal properties of the…

强关联电子 · 物理学 2016-04-29 Stephan Hesselmann , Stefan Wessel

The magnetic analog of the Gr\"{u}neisen parameter, i.e., the magnetocaloric effect, is a valuable tool for studying field-tuned quantum phase transitions. We determine the magnetic Gr\"{u}neisen parameter of the one-dimensional random…

强关联电子 · 物理学 2010-03-24 Thomas Vojta , J. A. Hoyos

The Schwinger model, one-dimensional quantum electrodynamics, has CP symmetry at $\theta = \pi$ due to the topological nature of the $\theta$ term. At zero temperature, it is known that as increasing the fermion mass, the system undergoes a…

高能物理 - 格点 · 物理学 2023-12-29 Hiroki Ohata

We study the ferromagnetic transverse-field Ising model with quenched disorder at $T = 0$ in one and two dimensions by means of stochastic series expansion quantum Monte Carlo simulations using a rigorous zero-temperature scheme. Using a…

强关联电子 · 物理学 2024-08-28 C. Krämer , J. A. Koziol , A. Langheld , M. Hörmann , K. P. Schmidt

We face the problem of detecting and featuring footprints of quantum criticality in the finite-temperature behavior of quantum many-body systems. Our strategy is that of comparing the phase diagram of a system displaying a T=0 quantum phase…

统计力学 · 物理学 2007-08-09 Alessandro Cuccoli , Alessio Taiti , Ruggero Vaia , Paola Verrucchi

We investigate the behavior of the Schmidt gap, the von Neumann entanglement entropy, and the non-stabiliserness in proximity to the classical phase transition of the one-dimensional long-range transverse-field Ising model (LRTFIM).…

强关联电子 · 物理学 2026-03-24 Meghadeepa Adhikary , Nishan Ranabhat , Mario Collura

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…

统计力学 · 物理学 2009-11-10 A. Caramico D'Auria , L. De Cesare , I. Rabuffo

We use the recently developed critical quasiparticle theory to derive the scaling behavior associated with a quantum critical point (QCP) in a correlated metal. This is applied to the magnetic-field induced QCP observed in YbRh$_2$Si$_2$…

强关联电子 · 物理学 2012-01-04 Elihu Abrahams , Peter Woelfle

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

统计力学 · 物理学 2009-08-27 Shi-Jian Gu

We study an infinite range ferromagnetic Ising model in the presence of a transverse magnetic field which exhibits a quantum paramagnetic-ferromagnetic phase transition at a critical value of the transverse field. In the thermodynamic…

统计力学 · 物理学 2009-11-11 Arnab Das , K. Sengupta , Diptiman Sen , Bikas K. Chakrabarti
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