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Starting from the Hubbard model in the weak-coupling limit, we derive a spin-fermion model where the collective spin excitations are described by a non-linear sigma model. This result is used to compute the fermion spectral function $A({\bf…

Strongly Correlated Electrons · Physics 2007-05-23 N. Dupuis

We suggest a new method of calculations for a clean Fermi gas with a repulsion in any dimension. This method is based on writing equations for quasiclassical Green functions and reducing them to equations for collective spin and charge…

Strongly Correlated Electrons · Physics 2009-11-11 I. L. Aleiner , K. B. Efetov

A method is proposed of constructing quantum correlators for a general gauge system whose classical equations of motion do not necessarily follow from the least action principle. The idea of the method is in assigning a certain BRST…

High Energy Physics - Theory · Physics 2009-11-11 S. L. Lyakhovich , A. A. Sharapov

We analyze the many-body properties of bilayer graphene (BLG) at charge neutrality, governed by long range interactions between electrons. Perturbation theory in a large number of flavors is used in which the interactions are described…

Mesoscale and Nanoscale Physics · Physics 2010-09-21 Rahul Nandkishore , Leonid Levitov

We present a theoretical study of the dynamic structure function of a resonantly interacting two-component Fermi gas at zero temperature. Our approach is based on dynamic many-body theory able to describe excitations in strongly correlated…

Quantum Gases · Physics 2015-06-15 G. E. Astrakharchik , J. Boronat , E. Krotscheck , T. Lichtenegger

Though the Fermi surface of surface states of a 3D topological insulator (TI) has zero magnetization, an arbitrary segment of the full Fermi surface has a unique magnetic moment consistent with the type of spin-momentum locking in hand. We…

Mesoscale and Nanoscale Physics · Physics 2015-01-13 Sthitadhi Roy , Abhiram Soori , Sourin Das

Efficient injection of spin-polarized current into a semiconductor is a basic prerequisite for building semiconductor-based spintronic devices. Here, we use inelastic electron tunneling spectroscopy to show that the efficiency of…

Materials Science · Physics 2013-02-14 T. Harada , I. Ohkubo , M. Lippmaa , Y. Sakurai , Y. Matsumoto , S. Muto , H. Koinuma , M. Oshima

A mechanism for ferrimagnetism in (1+1)-dimensions is discussed. The ferrimagnetism is cased by interactions described by operators with non-zero conformal spin. Such interactions appear in such problems as the problem of tunneling between…

Strongly Correlated Electrons · Physics 2016-08-31 Alexei M. Tsvelik

The fermion propagator and the 4-fermion Green function in the massless QED2 are explicitly found with topological effects taken into account. The corrections due to instanton sectors k=+1,-1, contributing to the propagator, are shown to be…

High Energy Physics - Theory · Physics 2009-10-31 Tomasz Radozycki

A study of spinless matter fermions coupled to a constrained $\mathbb{Z}_{2}$ lattice gauge theory on a triangular ladder is presented. The triangular unit cell and the ladder geometry strongly modify the physics, as compared to previous…

Strongly Correlated Electrons · Physics 2022-06-22 Wolfram Brenig

There is an interesting proposal that the long-range Coulomb interaction in suspended graphene can generate a dynamical gap, which leads to a semimetal-insulator phase transition. We revisit this problem by solving the self-consistent…

Strongly Correlated Electrons · Physics 2015-06-04 Jing-Rong Wang , Guo-Zhu Liu

Quantum oscillations (QOs) in transport and thermodynamic parameters at high magnetic fields are an unambiguous signature of the Fermi surface, the defining characteristic of a metal. Therefore, recent observations of QOs in insulating…

Applying the previously developed systematic thermal (imaginary time) perturbative expansion to the relevant effective field theory we compute the free energy $F$ of the diluted gas of (nonrelativistic) spin $1/2$ fermions interacting…

Quantum Gases · Physics 2026-03-25 Oskar Grocholski , Piotr H. Chankowski

We present an {\it ab initio} calculation of small numbers of trapped, strongly interacting fermions using the Green's Function Monte Carlo method (GFMC). The ground state energy, density profile and pairing gap are calculated for particle…

Atomic Physics · Physics 2009-02-05 S. Y. Chang , G. F. Bertsch

The momentum, fermionic density, spin density, and interaction dependencies of the exponents that control the (momentum-energy)-plane singular features of the one-fermion spectral functions of a one-dimensional gas of spin-1/2 fermions with…

Strongly Correlated Electrons · Physics 2019-05-01 T. Cadez , S. Nemati , J. M. P. Carmelo

We predict that spin-waves in an ordered square quantum antiferromagnet in a transverse magnetic field (h) may demonstrate three modes of spin excitations. Starting from the self-consistent rotation-invariant Green's function method, a new…

Strongly Correlated Electrons · Physics 2020-12-30 P. S. Savchenkov , A. F. Barabanov

We consider itinerant spinless fermions as moving defects in a dilute two-dimensional frustrated Ising system where they occupy site vacancies. Fermions interact via local spin fluctuations and we analyze coupled self-consistent mean-field…

Statistical Mechanics · Physics 2021-11-10 Jean-Yves Fortin , Pierrick Lample

The K\"ahler-Dirac fermion, recognized as an elegant geometric approach, offers an alternative to traditional representations of relativistic fermions. Recent studies have demonstrated that symmetric mass generation (SMG) can precisely…

Strongly Correlated Electrons · Physics 2024-05-21 Yuxuan Guo , Yi-Zhuang You

We study several models of $d$-dimensional fermions ($d=1,2,3$) with an emphasis on the properties of their gapless (metallic) phase. It occurs at $T = 0$ as a continuous transition when zeros of the partition function reach the real range…

Strongly Correlated Electrons · Physics 2025-08-25 Gennady Y. Chitov

We study the non-Fermi-liquid state formed by an isotropic, degenerate Fermi gas in two spatial dimensions interacting with a U(1) gauge field. Our calculation uses the functional renormalization group (fRG) with a soft frequency cutoff for…

Strongly Correlated Electrons · Physics 2024-11-28 Thomas P. Sheerin , Chris A. Hooley