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Quantum Critical Systems from ADS/CFT
Quantum Critical Systems from ADS/CFT

... The AdS/CFT (anti-de Sitter/conformal field theory) correspondence enables us to construct some strongly coupled quantum field theories by means of general relativity, and this approach provides new universality classes of condensed matter systems. In this dissertation, we will consider three system ...
Floquet topological insulators Phys. Stat. Sol. Rap
Floquet topological insulators Phys. Stat. Sol. Rap

... symmetry (maintaining the latter being an essential condition for the existence of helical edge states of TIs). It is therefore natural to investigate to what extent the steady state of a TI remains robust against time-dependent perturbations and how its electrical and magnetic properties are altere ...
Axial gravity, massless fermions and trace anomalies
Axial gravity, massless fermions and trace anomalies

... Using again dimensional regularization, we obtain in this way a confirmation of the previous, together with new, results. We suggest also an explanation for the claimed disagreement with ref.[3]. The calculations presented here have a more general motivation, stemming from a more basic question conc ...
Conformal field theory for inhomogeneous one
Conformal field theory for inhomogeneous one

... in one or two spatial dimensions (1D or 2D), the effects of strong correlations and interactions are enhanced and lead to dramatic effects. Celebrated examples from condensed matter physics include such diverse cases as the fractionalization of charge and emergence of topological order in the quantu ...
Anti Heisenberg. The end of Heisenberg`s uncertainty principle.
Anti Heisenberg. The end of Heisenberg`s uncertainty principle.

... ‘Because all experiments are governed by the laws of quantum mechanics and thus far by equation (1), it is therefore that quantum mechanics has established the invalidity of the principle of causality definitively.’ We are faced with the necessity of a radical revision of the foundation for the expl ...
BOULDER SUMMER SCHOOL LECTURE NOTES TOPOLOGICAL
BOULDER SUMMER SCHOOL LECTURE NOTES TOPOLOGICAL

... used to two different manifestations of topology. The first is to look for nontrivial surface states, and the second is to study response to an applied electric and/or magnetic field. We will follow this general guideline in this case as well. We will not be disappointed indeed Weyl semimetals have ...
Relativistic Description of Two-body Scattering
Relativistic Description of Two-body Scattering

... The study of elementary particles and their interaction has brought about a better understanding of our universe from sub-nuclear scales to cosmological scales. Scattering experiments has made possible the discovery of fundamental constituents of matter and the kind of interactions they exhibit. In ...
TIME-REVERSAL INVARIANT TOPOLOGICAL INSULATORS A
TIME-REVERSAL INVARIANT TOPOLOGICAL INSULATORS A

... and non-trivial insulator, we must intersect some gapless region. If we did not hit such a singularity then the two insulators could be adiabatically connected which leads to a contradiction. The region of gapless excitations is localized around the interface and we will study the nature of the low- ...
The statistical interpretation according to Born and Heisenberg
The statistical interpretation according to Born and Heisenberg

... Born’s treatment of the cloud chamber on the other; I also hint at the possibility that Pauli had such a link in mind. Neither suggestion is made in the book. Last but not least, I suggest here that Born and Heisenberg did not believe in the reality of the wave function. This is mentioned in the boo ...
Schrodinger Evolution for the Universe: Reparametrization
Schrodinger Evolution for the Universe: Reparametrization

... invariance of the action. Any state symmetry implies the existence of a history symmetry as a special case, since a history is just a sequence of states. However, the converse is not true. Even in well-known cases of gauge theories, such as Maxwell theory or Yang–Mills theory, care must be taken to ...
Manifestations of phase-coherent transport in
Manifestations of phase-coherent transport in

... a ubiquitous, very reproducible phenomenon, observed in all conventional 2DESs, and understood theoretically in great detail. Furthermore, in these experiments, aperiodic conductance fluctuation due to the random interference of electron waves have been observed only when the Fermi level was tuned to ...
referring
referring

... Heisenberg’s paper of July 19251 on ‘‘Quantummechanical reinterpretation of kinematic and mechanical relations,’’ 2,3 was the breakthrough that quickly led to the first complete formulation of quantum mechanics.4 – 6 Despite its undoubtedly crucial historical role, Heisenberg’s approach in this pape ...
Gate Tunable Relativistic Mass and Berry’s phase in Topological Insulator
Gate Tunable Relativistic Mass and Berry’s phase in Topological Insulator

... dashed lines in the inset of Fig. 2b) all the way from the conduction band (CB) to the TSS then to the VB. The measured R(T) suggests that bulk carriers in our Bi2Te3 NRs can be suppressed with Vg to realize a bulk insulating regime where surface can contribute dominantly to the conduction, and this ...
Topological insulators and superconductors
Topological insulators and superconductors

... The search for new states of matter The search for new elements led to a golden age of chemistry. The search for new particles led to the golden age of particle physics. In condensed matter physics, we ask what are the fundamental states of matter? In the classical world we have solid, liquid and g ...
Topological aspects of systems with broken time-reversal symmetry
Topological aspects of systems with broken time-reversal symmetry

FEYNMANWS PATH INTEGRAL APPROACH TO QUANTUM FIELD
FEYNMANWS PATH INTEGRAL APPROACH TO QUANTUM FIELD

... Here, Dirac’s S is the familiar action quantity L dt, where L(x; x; _ t) is the Lagrangian of classical mechanics. Now, how does this come about? The Lagrangian has everything built into it –kinetic and potential energy, including interaction terms –so if Dirac’s remark is true, then the propagator ...
20070822140014201
20070822140014201

... At which temperature does the transition occur ? What is the nature of transition ? ...
QUANTUM FIELD THEORY
QUANTUM FIELD THEORY

... of a particle state, in particular the free particle state. ...
Scattering of Dirac Fermions in Barrier Geometries on the Surface of
Scattering of Dirac Fermions in Barrier Geometries on the Surface of

Berry Phase and Anomalous Transport of the Composite Fermions
Berry Phase and Anomalous Transport of the Composite Fermions

Properties of Graphene in an External Magnetic
Properties of Graphene in an External Magnetic

Further Aspects of Weak Interaction Dynamics
Further Aspects of Weak Interaction Dynamics

... 1 r may emit radiation, because the product of such fields decreases like 1 r 2 . On the other hand, weak fields, whose most significant term decreases like 1 r 2 cannot emit radiation. This result indicates that: ...
Imaging electrostatically confined Dirac fermions in graphene
Imaging electrostatically confined Dirac fermions in graphene

... but reflects them at larger angles of incidence1,4,5 . In a potential well with circular symmetry, electrons with high angular momenta are obliquely incident on the barrier and are internally reflected, thus leading to particle confinement and the formation of quasibound quantum dot states7–12 . As ...
Coherent State Path Integrals
Coherent State Path Integrals

On the Physical Origin of the Lamb Shift
On the Physical Origin of the Lamb Shift

... interesting insight into the structure of protons as well as giving precise measurements of the fine-structure constant. However, we do not fully understand it. Quantum electrodynamics (QED) suggests that the effect is due to the interaction of a propagating electron with the photonic vacuum. This i ...
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Paul Dirac

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