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We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

Interacting Bose-Fermi mixtures possess a fermionic (super)symmetry when bosons and fermions in the mixture have equal masses, and when the interaction strengths are appropriately tuned. This symmetry is spontaneously broken in the ground…

Quantum Gases · Physics 2016-03-30 Barry Bradlyn , Andrey Gromov

In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band…

Strongly Correlated Electrons · Physics 2015-05-15 Oleg Derzhko , Johannes Richter , Mykola Maksymenko

Spontaneous symmetry breaking in non-relativistic quantum systems has previously been addressed in the framework of effective field theory. Low-lying excitations are constructed from Nambu-Goldstone modes using symmetry arguments only. We…

Nuclear Theory · Physics 2015-09-07 T. Papenbrock , H. A. Weidenmüller

Strongly-correlated two-dimensional electrons in coupled semiconductor bilayers display remarkable broken symmetry many-body states under accessible and controllable experimental conditions. In the cases of continuous quantum phase…

The Goldstone mode due to stripe or unidirectional charge-density-wave order in electron systems is found to have the same functional form as the one in classical smectic liquid crystals. It is very similar to the Goldstone mode that…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

Spontaneous symmetry breaking is ubiquitous in physics. Its spectroscopic signature consists in the softening of a specific mode upon approaching the transition from the high symmetry side and its subsequent splitting into a zero-frequency…

With the two-band continuum model, we study the broken inversion and time-reversal symmetry state of electrons with finite-range repulsive interactions in bilayer graphene. With the analytical solution to the mean-field Hamiltonian, we…

Strongly Correlated Electrons · Physics 2012-12-19 Xin-Zhong Yan , C. S. Ting

Goldstone modes in the amorphous solid state, resulting from the spontaneous breaking of translational symmetry due to random localisation of particles, are discussed. Starting from a microscopic model with quenched disorder, the broken…

Soft Condensed Matter · Physics 2009-11-10 Swagatam Mukhopadhyay , Paul M. Goldbart , Annette Zippelius

The spectral properties of itinerant 2D systems with (nearly) ferromagnetic ground state are studied within the spin-fermion and the classical s-d exchange models. While the former model describes the effect of collective magnetic…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Katanin , V. Yu. Irkhin

In this paper, we explore the interplay between symmetry and fracton order, motivated by the analogous close relationship for topologically ordered systems. Specifically, we consider models with 3D planar subsystem symmetry, and show that…

Strongly Correlated Electrons · Physics 2020-06-01 Yizhi You , Trithep Devakul , F. J. Burnell , S. L. Sondhi

We study the effect of electron-electron interactions in the quasiparticle dispersion of a graphene bilayer within the Hartree-Fock-Thomas-Fermi theory by using a four-bands model. We find that the electronic fluid can be described by a…

Strongly Correlated Electrons · Physics 2009-03-21 S. Viola Kusminskiy , D. K. Campbell , A. H. Castro Neto

We study the interlayer pairing states in layered systems of two different 2d electronic subsystems, one with relativistic linear and the other with non-relativistic parabolic spectrum. The complex order parameter of the paired state has a…

Superconductivity · Physics 2021-12-17 Andreas Sinner , Yurii E. Lozovik , Klaus Ziegler

We consider heterostructures consisting of regions with a continuous symmetry in contact with regions wherein the symmetry is spontaneously broken. The low-frequency dynamics of the corresponding order parameter are shown to induce…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yaroslav Tserkovnyak , Arne Brataas

We explore Bernal bilayer graphene in the presence of long-range Coulomb interactions, short-range Hund's coupling, and proximity-induced Ising spin-orbit coupling using self-consistent Hartree-Fock simulations. We show that the interplay…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Jin Ming Koh , Alex Thomson , Jason Alicea , Étienne Lantagne-Hurtubise

Motivated by recent observations of $C_4$ symmetry breaking in strongly correlated two-dimensional electron systems on a square lattice, we analyze this phenomenon within an extended Fermi liquid approach. It is found that the symmetry…

Strongly Correlated Electrons · Physics 2011-08-22 M. V. Zverev , J. W. Clark , Z. Nussinov , V. A. Khodel

An alternative approach to density functional theory based on self-consistent field theory for ring polymers is applied to neutral atoms hydrogen to neon in their ground states. The spontaneous emergence of atomic shell structure and…

Quantum Physics · Physics 2026-02-05 Phil A. LeMaitre , Russell B. Thompson

We study the electron scatter from the freely movable spin-$\frac{1}{2}$ particle in the presence of a linearly polarized laser field in the first Born approximation. The dressed state of electrons is described by a time-dependent wave…

Atomic Physics · Physics 2014-09-19 Ai-Hua Liu , Shu-Min Li

Spontaneous symmetry breaking has revolutionized the understanding in numerous fields of modern physics. Here, we theoretically demonstrate the spontaneous time-reversal symmetry breaking in a cavity quantum electrodynamics system in which…

Quantum Physics · Physics 2018-08-01 Yu-Kun Lu , Pai Peng , Qi-Tao Cao , Da Xu , Jan Wiersig , Qihuang Gong , Yun-Feng Xiao

The bound states of two particles are studied in frames of non-relativistic quantum field model with current $\times$ current type interaction by analyzing the Bethe-Salpeter amplitudes. The Bethe-Salpeter equations are obtained in closed…

High Energy Physics - Theory · Physics 2007-05-23 A. V. Sinitskaya , E. V. Pavlova