4,739 research outputs found
Conformal QED in two-dimensional topological insulators
It has been shown recently that local four-fermion interactions on the edges
of two-dimensional time-reversal-invariant topological insulators give rise to
a new non-Fermi-liquid phase, called helical Luttinger liquid (HLL). In this
work, we provide a first-principle derivation of this non-Fermi-liquid phase
based on the gauge-theory approach. Firstly, we derive a gauge theory for the
edge states by simply assuming that the interactions between the Dirac fermions
at the edge are mediated by a quantum dynamical electromagnetic field. Here,
the massless Dirac fermions are confined to live on the one-dimensional
boundary, while the (virtual) photons of the U(1) gauge field are free to
propagate in all the three spatial dimensions that represent the physical space
where the topological insulator is embedded. We then determine the effective
1+1-dimensional conformal field theory (CFT) given by the conformal quantum
electrodynamics (CQED). By integrating out the gauge field in the corresponding
partition function, we show that the CQED gives rise to a 1+1-dimensional
Thirring model. The bosonized Thirring Hamiltonian describes exactly a HLL with
a parameter K and a renormalized Fermi velocity that depend on the value of the
fine-structure constant .Comment: (5+4) pages, 2 figure
Chern-Simons theory and atypical Hall conductivity in the Varma phase
In this letter, we analyze the topological response of a fermionic model
defined on the Lieb lattice in presence of an electromagnetic field. The
tight-binding model is built in terms of three species of spinless fermions and
supports a topological Varma phase due to the spontaneous breaking of
time-reversal symmetry. In the low-energy regime, the emergent effective
Hamiltonian coincides with the so-called Duffin-Kemmer-Petiau (DKP)
Hamiltonian, which describes relativistic pseudospin-0 quasiparticles. By
considering a minimal coupling between the DKP quasiparticles and an external
Abelian gauge field, we calculate both the Landau-level spectrum and the
emergent Chern-Simons theory. The corresponding Hall conductivity reveals an
atypical quantum Hall effect, which can be simulated in an artificial Lieb
lattice.Comment: 5 pages, 3 figures; New version with an improved discussion about our
finding
Correlated versus Uncorrelated Stripe Pinning: the Roles of Nd and Zn Co-Doping
We investigate the stripe pinning produced by Nd and Zn co-dopants in
cuprates via a renormalization group approach. The two dopants play
fundamentally different roles in the pinning process. While Nd induces a
correlated pinning potential that traps the stripes in a flat phase and
suppresses fluctuations, Zn pins the stripes in a disordered manner and
promotes line meandering. We obtain the zero temperature phase diagram and
compare our results with neutron scattering data. A good agreement is found
between theory and experiment.Comment: To appear at the proceedings of the LLD2K Conference Tsukuba, July
2000, Japan. 4 pages, 2 figure
Topological phases in a two-dimensional lattice: Magnetic field versus spin-orbit coupling
In this work, we explore the rich variety of topological states that arise in
two-dimensional systems, by considering the competing effects of spin-orbit
couplings and a perpendicular magnetic field on a honeycomb lattice. Unlike
earlier approaches, we investigate minimal models in order to clarify the
effects of the intrinsic and Rashba spin-orbit couplings, and also of the
Zeeman splitting, on the quantum Hall states generated by the magnetic field.
In this sense, our work provides an interesting path connecting quantum Hall
and quantum spin Hall physics. First, we consider the properties of each term
individually and we analyze their similarities and differences. Secondly, we
investigate the subtle competitions that arise when these effects are combined.
We finally explore the various possible experimental realizations of our model.Comment: 19 pages, 15 figure
Stripe dynamics in presence of disorder and lattice potentials
We study the influence of disorder and lattice pinning on the dynamics of a
charged stripe. Starting from a phenomenological model of a discrete quantum
string, we determine the phase diagram for this system. Three regimes are
identified, the free phase, the flat phase pinned by the lattice, and the
disorder pinned phase. In the absence of impurities, the system can be mapped
onto a 1D array of Josephson junctions. The results are compared with
measurements on nickelates and cuprates and a good qualitative agreement is
found between our results and the experimental data.Comment: 4 pages, 2 figure
Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model
In this work, we show that, due to the alternating orientation of the spins
in the ground state of the artificial square spin ice, the influence of a set
of spins at a certain distance of a reference spin decreases faster than the
expected result for the long range dipolar interaction, justifying the use of
the nearest neighbor two dimensional square spin ice model as an effective
model. Using an extension of the model presented in ref. [Scientific Reports 5,
15875 (2015)], considering the influence of the eight nearest neighbors of each
spin on the lattice, we analyze the thermodynamics of the model and study the
monopoles and string densities dependence as a function of the temperature.Comment: 11 pages, 8 figure
Spin g-factor due to electronic interactions in graphene
The gyromagnetic factor is an important physical quantity relating the
magnetic-dipole moment of a particle to its spin. The electron spin g-factor in
vacuo is one of the best model-based theoretical predictions ever made, showing
agreement with the measured value up to ten parts per trillion. However, for
electrons in a material the g-factor is modified with respect to its value in
vacuo because of environment interactions. Here, we show how interaction
effects lead to the spin g-factor correction in graphene by considering the
full electromagnetic interaction in the framework of pseudo-QED. We compare our
theoretical prediction with experiments performed on graphene deposited on SiO2
and SiC, and we find a very good agreement between them.Comment: Improved version of the manuscript; valley g-factor part has been
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