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We study phase separation frustrated by the long-range Coulomb interaction in two dimensional electronic systems with emphasys in the case of a metallic and an insulating phase. We find that two-dimensional systems are more prone to…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Ortix , J. Lorenzana , C. Di Castro

We study the consequences of Coulomb interactions on a system undergoing a putative first order phase transition. In two dimensions (2D), near the critical density, the system is universally unstable to the formation of new intermediate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Reza Jamei , Steven Kivelson , Boris Spivak

Competition between interactions on different length scales leads to self-organized textures in classical as well as quantum systems. This pattern formation phenomenon has been invoked to explain some intriguing properties of a large…

Strongly Correlated Electrons · Physics 2008-10-09 C. Ortix , J. Lorenzana , C. Di Castro

On the basis of an analysis of a 3/4-filled two-dimensional (2D) extended Hubbard model under the fluctuation-exchange approximation, we find Coulomb frustrated phase separation (PS) in a region of nonzero temperature, where the quantum…

Strongly Correlated Electrons · Physics 2012-05-22 K. Yoshimi , H. Maebashi

The "Coulomb phase" is an emergent state for lattice models (particularly highly frustrated antiferromagnets) which have local constraints that can be mapped to a divergence-free "flux". The coarse-grained version of this flux or…

Statistical Mechanics · Physics 2015-05-14 Christopher L. Henley

We solve a model of phase separation among two competing phases frustrated by the long-range Coulomb interaction in two and three dimensions (2D/3D) taking into account finite compressibility effects. In the limit of strong frustration in…

Strongly Correlated Electrons · Physics 2009-11-11 C. Ortix , J. Lorenzana , M. Beccaria , C. Di Castro

We derive the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in two-dimensional systems with negative short-range electronic compressibility. We consider the system subject either to the truly three-dimensional…

Strongly Correlated Electrons · Physics 2009-05-13 C. Ortix , J. Lorenzana , C. Di Castro

We study the critical properties of three dimensional frustrated magnets, diluted with non-magnetic impurities. We show that these systems exhibit a second order phase transition, corresponding to a new universality class. In the pure case,…

Statistical Mechanics · Physics 2007-05-23 Matthieu Tissier

Using numerical techniques and asymptotic expansions we obtain the phase diagram of a paradigmatic model of Coulomb frustrated phase separation in systems with negative short-range compressibility. The transition from the homogeneous phase…

Strongly Correlated Electrons · Physics 2008-07-10 C. Ortix , J. Lorenzana , C. Di Castro

The displacive structural phase transition in a two-dimensional model solid due to Benassi and co-workers [PRL 106, 256102 (2011)] is analyzed using Monte Carlo simulations and finite-size scaling. The model is shown to be a member of the…

Statistical Mechanics · Physics 2018-12-17 Richard L. C. Vink

We study absorbing phase transitions in systems of branching annihilating random walkers and pair contact process with diffusion on a one dimensional ring, where the walkers hop to their nearest neighbor with a bias $\epsilon$. For…

Statistical Mechanics · Physics 2019-03-13 Bijoy Daga , Purusattam Ray

We determine the ground-state phase-diagram of a Hubbard Hamiltonian with correlated hopping, which is asymmetric under particle-hole transform. By lowering the repulsive Coulomb interaction U at appropriate filling and interaction…

Strongly Correlated Electrons · Physics 2009-11-13 Arianna Montorsi

We show that phase separation in ordered polar active fluids belongs to a new universality class. This describes large collections of self-propelled entities (``flocks"), all spontaneously moving in the same direction, in which attractive…

Soft Condensed Matter · Physics 2024-01-12 Maxx Miller , John Toner

We comprehend the role of imperfections in materials consisting of interacting particles, arising from different origins on their universal features. Specifically, we report the static and dynamic responses in a cluster of Coulomb…

Disordered Systems and Neural Networks · Physics 2023-04-26 Prashanti Jami , Biswarup Ash , Amit Ghosal

This review article is devoted to the interplay between frustrated magnetism and quantum critical phenomena, covering both theoretical concepts and ideas as well as recent experimental developments in correlated-electron materials. The…

Strongly Correlated Electrons · Physics 2018-06-27 Matthias Vojta

We present a theory of frustrated, two-dimensional, quantum antiferromagnets in the vicinity of a quantum transition from a non-collinear, magnetically-ordered ground state to a quantum-disordered phase. Using a sigma-model for bosonic,…

Condensed Matter · Physics 2009-10-22 A. V. Chubukov , T. Senthil , S. Sachdev

The theory of first order density-driven phase transitions with frustration due to the long range Coulomb (LRC) interaction develop on paper I of this series is applied to the following physical systems: i) the low density electron gas ii)…

Strongly Correlated Electrons · Physics 2016-08-31 J. Lorenzana , C. Castellani , C. Di Castro

The two-band Hubbard model is used to analyze a possibility of a non-uniform charge distribution in a strongly correlated electron system with two types of charge carriers. It is demonstrated that in the limit of strong on-site Coulomb…

Strongly Correlated Electrons · Physics 2009-11-13 A. O. Sboychakov , K. I. Kugel , A. L. Rakhmanov

We consider universal aspects of two problems: (i) the slow purification of a large number of qubits by repeated quantum measurements, and (ii) the singular value structure of a product ${m_t m_{t-1}\ldots m_1}$ of many large random…

Statistical Mechanics · Physics 2024-06-21 Andrea De Luca , Chunxiao Liu , Adam Nahum , Tianci Zhou

We consider the 2D $J_1-J_2$ classical XY model on a square lattice. In the frustrated phase corresponding to $J_2>J_1/2$, an Ising order parameter emerges by an ``order due to disorder'' effect. This leads to a discrete symmetry plus the…

Statistical Mechanics · Physics 2016-08-31 P. Simon
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