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The studies of a number of systems treated in terms of an inhomogeneous (spatially separated) Fermi-Bose mixture with superconducting clusters or droplets of the order parameter in a host medium with unpaired normal states are reviewed. A…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 M. Yu. Kagan , S. V. Aksenov , A. V. Turlapov , R. Sh. Ikhsanov , K. I. Kugel , E. A. Mazur , E. A. Kuznetsov , V. M. Silkin , E. A. Burovski

Two-dimensional spin-orbital magnets with strong exchange frustration have recently been predicted to facilitate the realization of a quantum critical point in the Gross-Neveu-SO(3) universality class. In contrast to previously known…

Strongly Correlated Electrons · Physics 2021-05-05 Shouryya Ray , Bernhard Ihrig , Daniel Kruti , John A. Gracey , Michael M. Scherer , Lukas Janssen

We study the quantum transition from a strongly correlated metal, with heavy fermionic quasiparticles, to a metal with commensurate charge or spin density wave order. To this end, we introduce and numerically analyze a large dimensionality…

Condensed Matter · Physics 2009-10-28 Subir Sachdev , Antoine Georges

A central concept in the theory of phase transitions beyond the Landau-Ginzburg-Wilson paradigm is fractionalization: the formation of new quasiparticles that interact via emergent gauge fields. This concept has been extensively explored in…

Strongly Correlated Electrons · Physics 2025-11-04 David Jonas Moser , Lukas Janssen

A phase diagram for a 2D metal with variable carrier density has been studied using the modulus-phase representation for the order parameter in a fully microscopic treatment. This amounts to splitting the degrees of freedom into neutral…

Superconductivity · Physics 2015-06-25 Valery P. Gusynin , Vadim M. Loktev , Rachel M. Quick , Sergei G. Sharapov

We numerically investigate the quantum phases and phase transition in a system made of two species of fermionic atoms that interact with each other via $s$-wave Feshbach resonance, and are subject to rotation or a synthetic gauge field that…

Strongly Correlated Electrons · Physics 2018-07-04 Shiuan-Fan Liou , Zi-Xiang Hu , Kun Yang

A two-sublattice spin-fermion model of ferrimagnetic spinel, with spin-$1/2$ itinerant electrons at the sublattice $A$ site and spin-$s$ localized electrons at the sublattice $B$ site is considered. The exchange between itinerant and…

Strongly Correlated Electrons · Physics 2015-06-23 Naoum Karchev

Quantum phase transitions have captured the interest of a large community in condensed-matter and atom physics research. The common feature of these very different material classes lies in the fact that the competition between low-energy…

Strongly Correlated Electrons · Physics 2014-02-19 V. Fritsch , N. Bagrets , G. Goll , W. Kittler , M. J. Wolf , K. Grube , C. -L. Huang , H. v. Löhneysen

Imposing the conservation equation of the vector current for a fermion of spin $\frac{1}{2}$ at the quantum level, a gauge anomaly for the fermion coupling with non-Abelian vector and axial--vector fields in six--dimensional curved space is…

High Energy Physics - Theory · Physics 2019-12-06 Satoshi Yajima , Kohei Eguchi , Makoto Fukuda , Tomonori Oka

High-temperature superconductivity emerges in a host of different quantum materials, often in a region of the phase diagram where the electronic kinetic energy is comparable in magnitude with the electron-electron Coulomb repulsion.…

Strongly Correlated Electrons · Physics 2020-12-14 Morten H. Christensen , Xiaoyu Wang , Yoni Schattner , Erez Berg , Rafael M. Fernandes

We study spin-$\frac{1}{2}$ fermions coupled to $\mathbb{Z}_2$ gauge fields on a lattice. We show how a spatial modulation of the fermion hopping allows for the realization of various obstructed atomic insulators that host higher-order band…

Strongly Correlated Electrons · Physics 2023-07-12 Bhandaru Phani Parasar , Vijay B. Shenoy

We study the possibility of complex tensor ($d$-wave) superconducting order in three-dimensional semimetals with chiral spin-1/2 triple-point fermions, which have an effective orbital angular momentum of $L=1$ arising from a crossing of…

Superconductivity · Physics 2021-11-16 Subrata Mandal , Julia M. Link , Igor F. Herbut

We describe two dimensional models with a metallic Fermi surface which display quantum phase transitions controlled by strongly interacting critical field theories below their upper critical dimension. The primary examples involve…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Takao Morinari

Near a quantum-critical point, a metal reveals two competing tendencies: destruction of fermionic coherence and attraction in one or more pairing channels. We analyze the competition within Eliashberg theory for a class of quantum-critical…

Superconductivity · Physics 2020-06-24 Andrey V. Chubukov , Artem Abanov , Yuxuan Wang , Yi-Ming Wu

Heavy fermion materials are compounds in which localized $f$-orbitals hybridize with delocalized $d$ ones, leading to quasiparticles with large renormalized masses. The presence of strongly correlated $f$-electrons at the Fermi level may…

Strongly Correlated Electrons · Physics 2023-03-22 Wiliam S. Oliveira , Thereza Paiva , Richard T. Scalettar , Natanael C. Costa

We use Grassmann algebra to study the phase transition in the two-dimensional ferromagnetic Blume-Capel model from a fermionic point of view. This model presents a phase diagram with a second order critical line which becomes first order…

Statistical Mechanics · Physics 2009-11-13 Maxime Clusel , Jean-Yves Fortin , Vladimir N. Plechko

Gravity gradient is known as a serious systematic effect in atomic tests of the universality of free fall, where the initial central position and velocity of atoms need to be exactly controlled. In this paper, we study quantum free fall…

Quantum Physics · Physics 2020-01-15 M. Zhang , Y. Wang

Discontinuous quantum phase transitions besides their general interest are clearly relevant to the study of heavy fermions and magnetic transition metal compounds. Recent results show that in many systems belonging to these classes of…

Strongly Correlated Electrons · Physics 2007-05-23 Andre S. Ferreira , Mucio A. Continentino

We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland

Unlike the fundamental forces of the Standard Model the quantum effects of gravity are still experimentally inaccessible. Rather surprisingly quantum aspects of gravity, such as massive gravitons, can emerge in experiments with fractional…

Quantum Physics · Physics 2023-03-22 Patricio Salgado-Rebolledo , Jiannis K. Pachos