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The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an exact analytical solution of the probem, in…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 I. S. Burmistrov , Yuval Gefen , M. N. Kiselev

The inclusion of charging and spin-exchange interactions within the Universal Hamiltonian description of quantum dots is challenging as it leads to a non-Abelian action. Here we present an {\it exact} analytical solution of the probem, in…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 I. S. Burmistrov , Yuval Gefen , M. N. Kiselev

We explore the static longitudinal and dynamic transverse spin susceptibilities in quantum dots and nanoparticles within the framework of the Hamiltonian that extends the universal Hamiltonian to the case of uniaxial anisotropic exchange.…

Mesoscale and Nanoscale Physics · Physics 2015-07-30 A. U. Sharafutdinov , D. S. Lyubshin , I. S. Burmistrov

The physics of quantum dots is succinctly depicted by the {\it Universal Hamiltonian}, where only zero mode interactions are included. In the case where the latter involve charging and isotropic spin-exchange terms, this would lead to a…

Mesoscale and Nanoscale Physics · Physics 2011-08-29 Boaz Nissan-Cohen , Yuval Gefen , Mikhail N. Kiselev , Igor V. Lerner

We explore the inelastic electron scattering cross section off a quantum dot close to the Stoner instability. We focus on the regime of strong Coulomb blockade in which the scattering cross section is dominated by the cotunneling processes.…

Mesoscale and Nanoscale Physics · Physics 2016-08-09 E. V. Repin , I. S. Burmistrov

We calculate the tunnelling density of states (TDoS) for a quantum dot in the Coulomb blockade regime, using a functional integral representation with allowing correctly for the charge quantisation. We show that in addition to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Nicholas Sedlmayr , Igor V. Yurkevich , Igor V. Lerner

We have calculated the tunneling density of states (DOS) at the location of a backward scattering defect for quantum wires and for edge state electrons in quantum Hall systems. A singular enhancement of the DOS arises as a result of the…

Condensed Matter · Physics 2009-10-28 Yuval Oreg , Alexander M. Finkel'stein

We examine the long wave length limit of the self-consistent Hartree-Fock approximation irreducible static density-density response function by evaluating the charge induced by an external charge. Our results are consistent with the…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 S. -R. Eric Yang , Ziqiang Wang , A. H. MacDonald

Theoretical analysis of the experimental data for the energy levels of two interacting electrons confined by a finite Gaussian potential in a 2D quantum dot and subjected to a uniform magnetic field perpendicular to the plane of the dot is…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 S. Chaudhuri

The mesoscopic Stoner instability is an intriguing manifestation of symmetry breaking in isolated metallic quantum dots, underlined by the competition between single-particle energy and Heisenberg exchange interaction. Here we study this…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 I. S. Burmistrov , Y. Gefen , D. S. Shapiro , A. Shnirman

A general nonperturbative theory of the low-energy electron propagator is developed and used to calculate the single-particle density of states in a variety of systems. This method involves the decoupling of the electron-electron…

Strongly Correlated Electrons · Physics 2008-09-17 Kelly R. Patton

We revisit the problem of quantum tunneling for a particle moving in the continuum, and in the absence of a magnetic field. In all spatial dimensions, we extend previous results to the case where the single-well potential satisfies…

Mathematical Physics · Physics 2025-06-17 Charles L. Fefferman , Jacob Shapiro , Michael I. Weinstein

We consider the transport spectroscopy of a quantum dot with an even number of electrons at finite bias voltage within the Coulomb blockade diamond. We calculate the tunneling current due to the elastic and inelastic co-tunneling processes…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. R. Wegewijs , Yu. V. Nazarov

We introduce a complex-extended continuum level density and apply it to one-dimensional scattering problems involving tunneling through finite-range potentials. We show that the real part of the density is proportional to a real "time…

Quantum Physics · Physics 2020-07-10 Pavel Stránský , Milan Šindelka , Michal Kloc , Pavel Cejnar

Recently, Dial et al. presented measurements of the tunneling density of states into the bulk of a two dimensional electron gas under strong magnetic fields. Several high energy features appear in the measured spectrum showing a distinct…

Strongly Correlated Electrons · Physics 2015-05-20 Gilad Barak , Amir Yacoby , Yigal Meir

This chapter takes a microscopic view of quantum tunneling of magnetization (QTM) in single-molecule magnets (SMMs), focusing on the interplay between exchange and anisotropy. Careful consideration is given to the relationship between…

Mesoscale and Nanoscale Physics · Physics 2013-03-04 Junjie Liu , Enrique del Barco , Stephen Hill

Tunneling anisotropic magnetoresistance (TAMR) effect, discovered recently in (Ga,Mn)As ferromagnetic semiconductors, arises from spin-orbit coupling and reflects the dependence of the tunneling density of states in a ferromagnetic layer on…

Materials Science · Physics 2009-11-11 A. B. Shick , F. Maca , J. Masek , T. Jungwirth

We investigate the influence of electron--electron interactions on the density of states of a ballistic two--dimensional electron gas. The density of states is determined nonperturbatively by means of path integral techniques allowing for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Joerg Rollbuehler , Hermann Grabert

We calculate the tunneling density of states (TDOS) in a three wire junction of interacting spin-1/2 electrons, and find an anomalous enhancement of the TDOS in the zero bias limit, even for repulsive interactions for several bosonic fixed…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Sougata Mardanya , Amit Agarwal

Tunneling is measured via the quantum levels of a metal nanoparticle. We analyze quantitatively the resonance energies, widths, and amplitudes, both in the regime where only one state is accessible for tunneling and in the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mandar M. Deshmukh , Edgar Bonet , A. N. Pasupathy , D. C. Ralph
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