Article
Computer Science, Interdisciplinary Applications
J. J. Carvalho, A. L. Mota
Summary: This research introduces a computational procedure for locating the dominant Fisher zero of a thermodynamic system's partition function, significantly reducing the computation time needed for the search. Applying this procedure to the 2D Ising model results in accurate critical temperature and critical exponent calculations.
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
(2021)
Article
Mathematics, Applied
Jianping Jiang, Charles M. Newman
Summary: This research completes the verification of the relationship between thermodynamic singularities and finite-volume singularities, showing that the modulus of the singularities decreases as the volume increases and approaches the radius in the thermodynamic limit.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
(2023)
Article
Physics, Mathematical
Federico Camia, Jianping Jiang, Charles M. M. Newman
Summary: In this paper, Ising models with ferromagnetic pair interactions are considered. The authors prove that the Ursell functions u(2k) are increasing in each interaction. As an application, a conjecture made by Nishimori and Griffiths in 1983 about the partition function of the Ising model with a complex external field is proven: the nearest zero to the origin (in the variable h) moves towards the origin as any interaction increases.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Mathematical
Barry Simon
Summary: The study introduces a simple mechanism for transitioning from Lee-Yang theorems to analyticity of correlation functions by utilizing underappreciated inequalities by Newman. Additionally, a Lee-Yang approach that can recover results of a low-density cluster expansion for spin S models without combinatorial calculations is described.
JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
James L. Monroe
Summary: The Fisher zeros of the Baxter-Wu model have been examined, revealing their simple location on the unit circle in the complex plane. Additionally, the use of different variables has been explored to enhance the accuracy of estimates for the critical exponent.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
T. P. Figueiredo, B. Costa
Summary: This study investigates the two-dimensional Ising model with disorder in spin-spin interactions. By analyzing the zeros of the energy probability distribution (EPD), the phase diagram of the quenched three-dimensional (L-3) +/- J Ising model is obtained. The introduction of randomly distributed anti-ferromagnetic (ferromagnetic) bonds in the system allows for the determination of the phase diagram in terms of temperature and bond concentration (p), without the need for an order parameter.
BRAZILIAN JOURNAL OF PHYSICS
(2022)
Article
Materials Science, Multidisciplinary
Angel L. Corps, Pavel Stransky, Pavel Cejnar
Summary: Dynamical phase transitions are defined by the nonanalytic behavior of the survival probability at certain critical times, which originate from the zeros of the survival amplitude. We introduce the complex-time survival amplitude by extending the time variable onto the complex domain, where the complex zeros near the time axis correspond to nonanalytic points where the survival probability abruptly vanishes in the infinite-size limit. We illustrate our results numerically in the fully connected transverse-field Ising model, which exhibits a symmetry-broken phase delimited by an excited-state quantum phase transition, and explore the behavior of the complex-time survival amplitude under changes in the out-of-equilibrium protocol, as well as the influence of the excited-state quantum phase transition.
Article
Physics, Multidisciplinary
Themis Matsoukas
Summary: In this paper, we formulate binary fragmentation as a discrete stochastic process and investigate its distribution and stability. The results show that shattering undergoes a phase transition when the stability conditions of the partition function are violated, and there exists an analogy between shattering and gelation.
Article
Physics, Multidisciplinary
Jonas Schwab, Lukas Janssen, Kai Sun, Zi Yang Meng, Igor F. Herbut, Matthias Vojta, Fakher F. Assaad
Summary: We investigate nematic quantum phase transitions in two different Dirac fermion models, finding that both models exhibit continuous phase transitions characterized by large velocity anisotropies in the quantum critical regime.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Jayson G. Cosme, Jim Skulte, Ludwig Mathey
Summary: We investigate the impact of dissipation in a bosonic channel on the prevalence and stability of time crystals (TCs) in a periodically driven spin-boson system described by the Dicke model. By mapping out the phase diagrams for varying dissipation strengths, we find that the region where a TC exists expands with increasing dissipation strength but only up to a certain point, beyond which most TCs become unstable. We demonstrate that dissipative TCs are more robust against random noise in the drive and are only weakly affected by the choice of initial state.
Article
Optics
Fredrik Brange, Tuomas Pyharanta, Eppu Heinonen, Kay Brandner, Christian Flindt
Summary: Bose-Einstein condensation occurs when a gas of bosons is cooled below its transition temperature, leading to macroscopic occupation of the ground state. Recent progress in experimental techniques allows for the assembly of quantum many-body systems from single atoms, enabling the prediction of the condensation temperature based on energy fluctuations of a small number of bosons. By utilizing Lee-Yang theories of phase transitions, it is possible to determine the behavior of the partition function and predict the convergence point of the zeros in the complex plane of the inverse temperature. This research provides insights into the condensation temperature of a Bose gas in different dimensions and confirms the absence of phase transition in one dimension.
Article
History & Philosophy Of Science
Jingyi Wu
Summary: The author analyzes the role of infinite idealizations in the renormalization group method to explain universality in critical phenomena, arguing that infinite limit systems are not necessary for explaining universality. Introducing the linearization* property as a relevant factor in RG explanations, the author presents a proposition to support their view that infinite limit systems are dispensable.
Article
Engineering, Environmental
Xiaomeng Zhao, Xingyu Li, Houfang Lu, Hairong Yue, Changjun Liu, Shan Zhong, Kui Ma, Siyang Tang, Bin Liang
Summary: This study predicted new phase-splitting solvents at the molecular level and employed density functional theory, genetic function approximation method, among others, to investigate interaction mechanisms between ions and solvents.
CHEMICAL ENGINEERING JOURNAL
(2021)
Article
Chemistry, Physical
Yunfei Hong, Junkai Deng, Xiangdong Ding, Jun Sun, Jefferson Zhe Liu
Summary: In this study, the ferroelectric polarization in bismuthene nanoribbons was investigated using first-principles calculations, and a width size limiting effect arising from edge effects was discovered. The decrease in width led to the spontaneous transformation of the zigzag and armchair paired nanoribbons into high-symmetric nonpolarized nanoribbons. The phase transition mechanism involving depolarization field and edge stress provides insights for achieving phase transition and ultrahigh piezoelectricity in Bi nanoribbons through strain engineering, which could enable new applications for 2D ferroelectric devices.
JOURNAL OF PHYSICAL CHEMISTRY LETTERS
(2023)
Article
Physics, Multidisciplinary
Yang Liu, Songtai Lv, Yang Yang, Haiyuan Zou
Summary: Concepts of complex partition functions and Fisher zeros provide statistical mechanisms for finite temperature and real-time dynamical phase transitions. These concepts can also be extended to quantum phase transitions. By identifying Fisher zeros on lines or closed curves, we can understand their connection with domain-wall excitations or confined mesons in the one-dimensional transverse field Ising model. The crossover behavior of the Fisher zeros gives us a fascinating insight into criticality near the quantum phase transition, allowing us to quantitatively determine the excitation energy scales. Our results are confirmed through tensor network calculations, showing a clear signal of deconfined meson excitations when the closed zero curves are disrupted. This study sheds light on the significant features of Fisher zeros in quantum phase transitions and opens up new possibilities for exploring quantum criticality.
CHINESE PHYSICS LETTERS
(2023)
