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We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Quantum phase transitions occur at zero temperature when some non-thermal control-parameter like pressure or chemical composition is changed. They are driven by quantum rather than thermal fluctuations. In this review we first give a…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta

We investigate the quantum phase transition of itinerant ferromagnets. It is shown that correlation effects in the underlying itinerant electron system lead to singularities in the order parameter field theory that result in an effective…

Statistical Mechanics · Physics 2017-09-27 Thomas Vojta , D. Belitz , T. R. Kirkpatrick , R. Narayanan

A general procedure for studying finite-N effects in quantum phase transitions of finite systems is presented and applied to the critical-point dynamics of nuclei undergoing a shape-phase transition of second-order (continuous), and of…

Nuclear Theory · Physics 2007-05-23 A. Leviatan

We investigate the behavior of the periodic Anderson model in the presence of $d$-$f$ Coulomb interaction ($U_{df}$) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach…

Strongly Correlated Electrons · Physics 2013-04-01 I. Hagymasi , K. Itai , J. Solyom

When a metal undergoes a continuous quantum phase transition, non-Fermi liquid behaviour arises near the critical point. It is standard to assume that all low-energy degrees of freedom induced by quantum criticality are spatially extended,…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , Silvio Rabello , Kevin Ingersent , Lleweilun Smith

Several basic problems of the theory of quantum phase transitions are reviewed. The effect of the quantum correlations on the phase transition properties is considered with the help of basic models of statistical physics. The effect of…

Statistical Mechanics · Physics 2009-11-10 D. V. Shopova , D. I. Uzunov

Topological phases with large Chern numbers have important implications. They were previously predicted to exist by considering fabricated long-range interactions or multi-layered materials. Stimulated by recent wide interests in Floquet…

Mesoscale and Nanoscale Physics · Physics 2016-06-02 Tian-Shi Xiong , Jiangbin Gong , Jun-Hong An

We study quantum phase transitions between competing orders in one-dimensional spin systems. We focus on systems that can be mapped to a dual-field double sine-Gordon model as a bosonized effective field theory. This model contains two…

Strongly Correlated Electrons · Physics 2018-11-29 Shintaro Takayoshi , Shunsuke C. Furuya , Thierry Giamarchi

The experimental detection of non-equilibrium quantum criticality remains a challenge, as traditional signatures like dynamical quantum phase transitions rely on hard-to-measure global properties. Here, we demonstrate that local connected…

Quantum Gases · Physics 2026-05-19 Xiaofeng Wu , Xin Wang , Sixun Jia , Bo Xiong

We explore the critical properties of a topological transition in a two-dimensional, amorphous lattice with randomly distributed points. The model intrinsically breaks the time-reversal symmetry without an external magnetic field, akin to a…

Mesoscale and Nanoscale Physics · Physics 2025-10-24 Soumya Bera , Johannes Dieplinger , Naba P Nayak

We investigate the nature of quantum criticality and topological phase transitions near the critical lines obtained for the extended Kitaev chain with next nearest neighbor hopping parameters and non-Hermitian chemical potential. We…

Strongly Correlated Electrons · Physics 2023-07-31 S Rahul , Nilanjan Roy , Ranjith R Kumar , Y R Kartik , Sujit Sarkar

A quantum phase transition is usually achieved by tuning physical parameters in a Hamiltonian at zero temperature. Here, we demonstrate that the ground state of a topological phase itself encodes critical properties of its transition to a…

Strongly Correlated Electrons · Physics 2014-09-10 Timothy H. Hsieh , Liang Fu

We define geometric critical exponents for systems that undergo continuous second order classical and quantum phase transitions. These relate scalar quantities on the information theoretic parameter manifolds of such systems, near…

Statistical Mechanics · Physics 2015-06-19 Prashant Kumar , Tapobrata Sarkar

Experimentally there exist many materials with first-order phase transitions at finite temperature that display quantum criticality. Classically, a strain-energy density coupling is known to drive first-order transitions in compressible…

Strongly Correlated Electrons · Physics 2021-01-05 Premala Chandra , Piers Coleman , Mucio A. Continentino , Gilbert G. Lonzarich

Dynamical quantum phase transitions (DQPTs) represent a counterpart in non-equilibrium quantum time evolution of thermal phase transitions at equilibrium, where real time becomes analogous to a control parameter such as temperature. In…

Quantum Gases · Physics 2020-01-01 Christian B. Mendl , Jan Carl Budich

Driven-dissipative open quantum many-body systems exhibit rich phases that are characterized by the steady states in the long-time dynamics. However, lossy open systems inevitably decay to the vacuum, making their transient evolution the…

Quantum Gases · Physics 2025-06-09 Xin-Yuan Gao , Yangqian Yan

We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with…

Mesoscale and Nanoscale Physics · Physics 2023-08-29 Mateo Moreno-Gonzalez , Johannes Dieplinger , Alexander Altland

We investigate the boundary phases of a (2+1)-dimensional quantum critical Heisenberg model with a dangling spin chain. By introducing a multispin $Q$-term along the boundary, we drive a continuous boundary transition from an…

Strongly Correlated Electrons · Physics 2026-05-20 Chengxiang Ding , Long Zhang

For a many-body system in equilibrium, described by a thermodynamically stable Hamiltonian, quantum criticality is associated with structural changes of the many-body ground state. However, there exist physically relevant models, notably,…

Quantum Physics · Physics 2026-05-07 Mariam Ughrelidze , Vincent P. Flynn , Emilio Cobanera , Lorenza Viola