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A quantum Monte Carlo simulation method has been developed and applied to study the critical behavior of a single Kondo impurity in a Luttinger liquid. This numerically exact method has no finite-size limitations and allows to simulate the…

Strongly Correlated Electrons · Physics 2009-10-30 Reinhold Egger , Andrei Komnik

We study the absorption spectrum of a two-dimensional electron gas (2DEG) in a magnetic field. We find that that at low temperatures, when the 2DEG is spin polarized, the absorption spectra, which correspond to the creation of spin up or…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. Plochocka-Polack , J. G. Groshaus , M. Rappaport , V. Umansky , Y. Gallais , A. Pinczuk , I. Bar-Joseph

We apply a small magnetic field to strongly interacting matter with a gravity dual description as an electron star. These systems are both metallic and quantum critical at low energies. The resulting quantum oscillations are shown to be of…

High Energy Physics - Theory · Physics 2015-03-17 Sean A. Hartnoll , Diego M. Hofman , Alireza Tavanfar

We investigate magnetic properties induced by a spinless impurity in strongly correlated electron systems, i.e. the Hubbard model in the spatial dimension $D=1,2,$ and 3. For the 1D system exploiting the Bethe ansatz exact solution we find…

Strongly Correlated Electrons · Physics 2009-10-31 Satoshi Fujimoto

We use bosonic field theories and the infinite system density matrix renormalization group (iDMRG) method to study infinite strips of fractional quantum Hall (FQH) states starting from microscopic Hamiltonians. Finite-entanglement scaling…

Strongly Correlated Electrons · Physics 2013-10-30 Daniel Varjas , Michael P. Zaletel , Joel E. Moore

We study weak itinerant ferromagnetism in one-dimensional Fermi systems using perturbation theory and bosonization. We find that longitudinal spin fluctuations propagate ballistically with velocity v_m << v_F, where v_F is the Fermi…

Strongly Correlated Electrons · Physics 2009-11-07 Lorenz Bartosch , Marcus Kollar , Peter Kopietz

Bound states in superconductors are expected to exhibit a spatially resolved electron-hole asymmetry which is the hallmark of their quantum nature. This asymmetry manifests as oscillations at the Fermi wavelength, which is usually tiny and…

Ultracold atoms confined to periodic potentials have proven to be a powerful tool for quantum simulation of complex many-body systems. We confine fermions to one-dimension to realize the Tomonaga-Luttinger liquid model describing the highly…

Semi-infinite quantum spin chains display spin autocorrelations near the boundary with power-law exponents that are given by boundary conformal field theories. We show that NMR measurements on spinless impurities that break a quantum spin…

Strongly Correlated Electrons · Physics 2009-10-31 V. Brunel , M. Bocquet , Th. Jolicoeur

We discuss the problem of the X-ray absorption in a system of interacting fermions and, in particular, those features in the X-ray spectra that can be used to discriminate between conventional Fermi-liquids and novel "strange metals".…

Condensed Matter · Physics 2016-08-31 D. V. Khveshchenko , P. W. Anderson

The temperature-dependent uniform magnetic susceptibility of interacting electrons in one dimension is calculated using several methods. At low temperature, the renormalization group reaveals that the Luttinger liquid spin susceptibility…

Strongly Correlated Electrons · Physics 2009-10-31 H. Nélisse , C. Bourbonnais , H. Touchette , Y. M. Vilk , A. -M. S. Tremblay

We consider the non-equilibrium dynamics of a system of interacting massless fermions in a ring threaded by a magnetic flux. We focus on the quench where the flux is initially vanishing and is then turned on. We show that the definition of…

Statistical Mechanics · Physics 2014-08-27 Andrea De Luca

We present an analytically solvable model for correlated electrons, which is able to capture the major Fermi surface modifications occurring in both hole- and electron-doped cuprates as a function of doping. The proposed Hamiltonian…

Strongly Correlated Electrons · Physics 2024-10-18 Paul Worm , Matthias Reitner , Karsten Held , Alessandro Toschi

We study systems of bosons whose low-energy excitations are located along a spherical submanifold of momentum space. We argue for the existence of gapless phases which we dub "Bose-Luttinger liquids", which in some respects can be regarded…

Strongly Correlated Electrons · Physics 2021-08-04 Ethan Lake , T. Senthil , Ashvin Vishwanath

The density-density correlation functions (most singular parts) of chiral Luttinger liquids forming the fractional quantum Hall effect (FQHE) edge are systematically derived in presence of a point-contact junction acting as a localised…

Mesoscale and Nanoscale Physics · Physics 2024-08-29 Nikhil Danny Babu , Girish S. Setlur

We derive a generalized Luttinger-Ward expression for the Free energy of a many body system involving a constrained Hilbert space. In the large $N$ limit, we are able to explicity write the entropy as a functional of the Green's functions.…

Strongly Correlated Electrons · Physics 2007-05-23 P. Coleman , I. Paul , J. Rech

The influence of an external electric field on the spin dynamics of an electrically neutral Fermi liquid is considered, the mechanism of such an influence being the relativistic spin-orbital interaction. As a result, Leggett's equations for…

Condensed Matter · Physics 2007-05-23 P. L. Krotkov

We investigate quantitatively the effects of strong electron-electron coupling onto the dynamics of lattice electrons. To that purpose the self-consistent version of the bubble-chain approximation at zero temperature and half filling of the…

Condensed Matter · Physics 2007-05-23 Vaclav Janis

The quantum entanglement of many states of matter can be represented by electric and magnetic fields, much like those found in Maxwell's theory. These fields "emerge" from the quantum structure of the many-electron state, rather than being…

Strongly Correlated Electrons · Physics 2016-07-26 Subir Sachdev

We consider spinless electrons in two dimensions with the bare spectrum $\epsilon({\bf p})=|p_x|+|p_y|$. In momentum space, the interactions among electrons have a finite range $q_0$, which is small compared to the Fermi momentum. A golden…

Condensed Matter · Physics 2009-10-22 R. Hlubina