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The effect of the Berry phase is included explicitly in the wavefunction describing conduction electrons in a crystal composed of periodically arrayed Jahn-Teller centers that have conically intersecting potential energy surfaces. The Berry…

Condensed Matter · Physics 2009-10-31 H. Koizumi , T. Hotta , Y. Takada

We demonstrate that Berry phases may greatly affect the dynamics of spin-orbit coupled Bose-Einstein condensates. The effective model Hamiltonian under consideration is shown to be equivalent to the Exe Jahn-Teller model first introduced in…

Quantum Physics · Physics 2015-05-13 Jonas Larson , Erik Sjoqvist

Jahn-Teller systems and the Jahn-Teller effect are discussed in terms of cavity QED models. By expressing the field modes in a quadrature representation, it is shown that certain setups of a two-level system interacting with a bimodal…

Quantum Physics · Physics 2008-09-23 Jonas Larson

We consider the electron transport through a single molecule magnet transistor in the presence of a local transverse magnetic field and ac-driven gate voltage. We calculate the conductance as a function of the electron energy and transverse…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Gabriel Gonzalez

We formulate the problem of electron transport through a single-molecule magnet (SMM) in the Coulomb blockade regime taking into account topological interference effects for the tunneling of the large spin of a SMM. The interference…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gabriel Gonzalez , Michael N. Leuenberger

We study the Jahn-Teller effect of positive fullerene ions $^2$C$_{60}^{+}$ and $^1$C$_{60}^{2+}$. The aim is to discover if this case, in analogy with the negative ion, possesses a Berry phase or not, and what are the consequences on…

Condensed Matter · Physics 2012-10-29 P. De Los Rios , N. Manini , E. Tosatti

A simple model of electron-vibron interactions in buckminsterfullerene ions is solved semiclassically. Electronic degeneracies of C$_{60}$$^{n-}$ induce dynamical Jahn-Teller distortions, which are unimodal for $n\!\ne\!3$ and bimodal for…

Condensed Matter · Physics 2009-10-22 Assa Auerbach

The presence/absence of a Berry phase depends on the topology of the manifold of dynamical Jahn-Teller potential minima. We describe in detail the relation between these topological properties and the way the lowest two adiabatic potential…

Materials Science · Physics 2009-10-31 Nicola Manini , Paolo De Los Rios

In this paper we theoretically and numerically investigate transport signatures of quantum interference on the current through a single molecule magnet transistor tunnel coupled to oppositely polarized leads in the presence of a local…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Fco. Javier Anaya Garcia , Daniel Salgado-Blanco , Gabriel Gonzalez

The selection rule on vibronic angular momentum of $t_{1u}^n \otimes h_g$ Jahn-Teller problem ($n = $ 1-5) is reinvestigated. It is shown that among three adiabatic orbitals only two have nonzero Berry phase. Thus, the Berry phase of…

Chemical Physics · Physics 2018-02-21 Naoya Iwahara

We investigate the geometric phase or Berry phase of adiabatic quantum evolution in an atom-molecule conversion system, and find that the Berry phase in such system consists of two parts: the usual Berry connection term and a novel term…

Quantum Gases · Physics 2015-05-13 Li-Bin Fu , Jie Liu

A Mn4 single-molecule magnet displays asymmetric Berry-phase interference patterns in the transverse-field (HT) dependence of the magnetization tunneling probability when a longitudinal field (HL) is present, contrary to symmetric patterns…

Mesoscale and Nanoscale Physics · Physics 2011-06-02 H. M. Quddusi , J. Liu , S. Singh , K. J. Heroux , E. del Barco , S. Hill , D. N. Hendrickson

Due to the frequent presence of a Berry phase, in most cases of dynamical Jahn-Teller systems the symmetry of the ground state is the same as that of the electronic state. However, the H x h icosahedral case, relevant for the physics of…

Condensed Matter · Physics 2007-05-23 Nicola Manini , Paolo De Los Rios

In quantum mechanics, a quantum wavepacket may acquire a geometrical phase as it evolves along a cyclic trajectory in parameter space. In condensed matter systems, the Berry phase plays a crucial role in fundamental phenomena such as the…

A simple model for electron-vibron interactions on charged buckminsterfullerene C$_{60}^{n-}$, $n=1,\ldots 5$, is solved both at weak and strong couplings. We consider a single $H_g$ vibrational multiplet interacting with $t_{1u}$…

Condensed Matter · Physics 2009-10-22 Assa Auerbach , Nicola Manini , Erio Tosatti

We show through selected examples, relevant to the physics of fullerene ions, that the presence of a Berry phase in dynamical Jahn-Teller systems does not guarantee the degeneracy of the ground state, contrary to what previously believed.…

Condensed Matter · Physics 2008-02-03 Paolo De Los Rios , Nicola Manini

Berry phase effects in spin systems lead to the suppression of tunneling effects when different tunneling paths interfere destructively. Such effects have been seen in several single-molecule magnets (SMMs) through measurements of…

We consider Bloch electrons in the electromagnetic field and argue the relation between the Berry phase and the quantized Hall conductivity in three-dimension. The Berry phase we consider here is induced by the adiabatic change of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 J. Goryo , M. Kohmoto

The effective Hamiltonian for the linear $E\otimes e$ Jahn-Teller model describes the coupling between two electronic states and two vibrational modes in molecules or bulk crystal impurities. While in the Born-Oppenheimer approximation the…

Chemical Physics · Physics 2017-12-19 Ryan Requist , Cesar R. Proetto , E. K. U. Gross

We consider phase-coherent transport through ballistic and diffusive two-dimensional hole systems based on the Kohn-Luttinger Hamiltonian. We show that intrinsic heavy-hole light-hole coupling gives rise to clear-cut signatures of an…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Viktor Krueckl , Michael Wimmer , Inanc Adagideli , Jack Kuipers , Klaus Richter
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