## Hi,

I am a theoretical condensed matter physicist working in the areas of graphene, topological insulators and Majorana bound states. I work as an assistant professor in Delft University of Technology in the condensed matter theory group.

I finished my PhD at Leiden University in the group of Carlo Beenakker in 2011. After Leiden I went to Harvard university as a Golub postdoctoral fellow, and finally moved to Delft in September 2013.

My research interests are outlined below. However for a less formal introduction I also invite you to check out a short article I wrote to introduce myself to the other members of the Kavli Institute.

## Online course "topology in condensed matter"

Much of what I do is covered in the online course that I run together with my colleagues. Check it out.

## Contact information

**Skype**: anton.akhmerov

**Phone**(please use for urgent matters only!): +31-61-2758481

**Address**: F334, Lorentzweg 1, 2628CJ, Delft, The Netherlands.

**github**: akhmerov

**orcid**: 0000-0001-8031-1340

**google scholar**(citation metrics): Anton Akhmerov

If you want to make an appointment or just drop by, your chances are better if you check with my schedule first:

## Research

My research interests mostly revolve around the field of mesoscopic conductors and superconductors. Very naturally this includes the topics of graphene, topological insulators, and Majorana bound states. I am fascinated by the quantum systems that behave in the most counter-intuitive or unusual ways.

**Majorana bound states.** One example of an exotic physical object that is
simple to analyse but hard to grasp is Majorana bound states (frequently also
called Majorana fermions). Consider a combination of simple ingredients. Take
conventional superconductors, known for almost a century, and understood
extremely well for half a century. Add a semiconducting quantum wire, a basis
of modern electronics, but scaled down; these were studied for decades. The
amazing thing is that the theoretical and experimental progress showed how
combining these two ingredients one can create the special Majorana bound
states. Sergey Frolov very properly
calls them zen particles, by comparison with the god particle, Higgs
boson. They have no energy, no charge, and no mass (which makes them extremely
hard to find), and they store quantum information in a way completely hidden
from environment. The state of these quantum degrees of freedom changes when
they are moved around each other, allowing to implement an alternative route to
quantum computation.

**Topological insulators.** Symmetry has always been a guiding concept in
physics, allowing to generalize conclusions from one particular system to many
which possess similar qualities. The other concept with applicability that is
perhaps as broad is topology. It allows to conclude that certain properties of
superficially very different systems must be identical as long as the two
systems can be continuously transformed into one another. Topological
insulators use a combination of both symmetry and topology. The surface of
these materials is guaranteed to be conducting as long as certain symmetry of
the material is unbroken, and as long as bulk stays insulating.

**Kwant**. Numerical simulation of a physical system is a useful and sometimes
irrepleacable tool in various tasks. It can be used as a boost or a check of
the intuition, it may lead to finding an efficient analytical approximation, or
as the last resort in handling the problems that are beyond the reach of
analytics. To make the numerical calculations more accessible to the community,
me and my colleagues have developed a sofware package kwant, which can be used to numerically solve a broad
range of problems in mesoscopic quantum transport.