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Egor  Babaev

emails:
babaev  "at" kth "dot" se

egorbabaev "at" gmail "dot" com
Skype: jsb1080
phone + 46 (0)735737349
In February you can reach me at phone +1 413 -2417129





Image on the right: Hopf fibration by Ken Snoemake

News: 2010 Tage Erlander prize in physics awarded by the Royal Swedish Academy of Science "for groundbreaking theoretical work that predicts new states of matter in the form of quantum fluids with novel properties"
Observation of  "Type-1.5 superconductivity" is reported by Victor Moshchalkov's group:
Standard textbook classification of superconductors divides all the materials in two classes type-I and type-II depending on their rection to magnetic field. The distinctive feature of type-II class is that it can respond to applied magnetic field by forming quantum vortices. These vortices repel each other and thus tend to form order structures: vortex lattices. In two my papers from 2003 and 2005 with Martin Speight http://arxiv.org/abs/cond-mat/041168   http://arxiv.org/abs/cond-mat/0302218 it was predicted that this dichotomy is broken in multicomponent superconductors where we found an entirely new type of thermodybnamically stable vortex solutions which have attractive interaction at long range and repulsive at short range. In the recent experiment by Victor Moshchalkov's group  the authors observed coexistence of vortex droplets and Meissner domains in  Magnesium Diboride strikingly similar to the predicted by us picture of the "semi-Messiner state". Victor Moshchalkov and collaborators coined for it the name "type-1.5 superconductivity". See also a news story in Science Magazine "New Type of Superconductivity Spotted" and a feature at PhysicsWeb "Type-1.5 superconductor shows its stripes"
Our new theoretical work on this topic:  E. Babaev J. Carlstrom, M. Speight "Type-1.5 superconductivity from interband Josephson coupling"
Recent Research topics:
"Super"-states of matter, such as superconductivity and superfluidity have attracted interest  for almost a century. Four aggregate “super” states of matter are presently known: (i) superconducting electrons in metals, (ii) superfluid liquid He, (iii) superfluid vapours of ultracold atoms in traps, (iv) and possibly supersolid state of He. These experimental discoveries resulted into a breakthrough in our insight into the laws of microworld and even had impact well beyond condensed matter physics influencing e.g. the first discussions of the Higgs effect,  chiral symmetry breakdown in QCD etc. A question to rise today is where the next experimental breakthrough in the field of quantum fluids might yet arise and whether the classification of quantum fluids into the above four classes can be extended: main focus of my recent research (see links to  recent papers below) was on hydrogen which, I proposed that  hydrogen at ultra high compression  may  form  two band new  types of “super” state of matter - the metallic superfluid and the  superconducting superfluid. The  pressures where this state is expected to form are extremely high but experimentally accessible: the required pressure is around four millions athmospheres while pressures exceeding three millions athmospheres have already been achieved in laboratories and most recent experiments aim at achieving pressures in the range of 10 millions athmospheres in not so distant future.

Background image: snapshot from Monte-Carlo simulations of vortex matter in the projected liquid metallic state of hydrogen (credit: Smiseth and Smorgrav)
For popular description see e.g. the  following  media coverage in different languages  of our recent papers Swedish "Nya teorier om metalliska supervätskor ger kvantfysiken nytt blod"
English:  Physics World "Back to Square one for SuperfluidityPhysicsWeb "Metallic superfluid seen in computer" Nature Physics Research Highlight "Known unknowns in high-pressure hydrogen" Russian: link French link German  link,  Spanish link,  Dutch link, Farsi link , Norwegian link, Korean link
Talks of the Quantum Fluids 2007  workshop which I was organizing are now online http://www.nordita.org/~qf2007

 
The pictures above show certain objects associated with novel phenomena which we  predict should take place in the projected  novel state of matter: liquid metallic hydrogen
(see more information below or click on the pictures to go to corresponding artcles).

Vita:
I find many kinds of things interesting. my main interests are:
1) Physics
2) Renaissanse music  and especially music by J.S. Bach 
3) Marathon running and weightlifting
 
4)I also have considerable interst in  history

Science (briefly):

Selected publications:  (see also full  list of publicationsMy papers at LANL  My papers at SLAC SPIRES

Egor Babaev
"Non-Meissner electrodynamics and knotted solitons in two-component superconductors"
arXiv:0809.4468
Phys. Rev. B 79, 104506 (2009)

Egor Babaev A possible mechanism of effective decoupling of hadronic superfluids in precessing neutron star
arXiv:0901.4380


Egor Babaev, N. W. Ashcroft    (Nature Physics 3, 530 - 533 (2007)
"Violation of Onsager-Feynman quantization and the London Law in multicomponent superconductors"
Two quite fundamental principles governing the response to rotation of ordinary superfluids and superconductors, the Onsager-Feynman quantization of superfluid
velocity [1, 2], and the London law [3] relating the angular velocity to a sub sequently established magnetic field, are shown to be violated in a two-component
superconductor. The manifestation of the two principles normally involves the fundamental constants alone, but this no longer holds as is demonstrated explicitly
for the projected liquidmetallic states of hydrogen, and deuterium at high pressures. The rotational responses of liquid metallic hydrogen or deuterium identify them
as a new class of dissipationless states; they also directly point to a particular experimental route for verification of their existence.

Egor Babaev, A. Sudbo, N. W. Ashcroft    
(Nature 431, 666 (2004)) 
"A superconductor to superfluid phase transition in liquid metallic hydrogen "
Although hydrogen is the simplest of atoms, it does not form the simplest of solids or liquids. Quantum effects in these phases are considerable (a consequence of
the light proton mass) and they have a demonstrable and often puzzling influence on many physical properties, including spatial order. To date, the structure of dense
hydrogen remains experimentally elusive. Recent studies of the melting curve of hydrogen indicate that at high (but experimentally accessible) pressures, compressed
hydrogen will adopt a liquid state, even at low temperatures. In reaching this phase, hydrogen is also projected to pass through an insulator-to-metal transition.
This raises the possibility of new state of matter: a near ground-state liquid metal, and its ordered states in the quantum domain. Ordered quantum fluids
 are traditionally categorized as superconductors or superfluids; these respective systems feature dissipationless electrical currents or mass flow. Here we
report a topological analysis of the projected phase of liquid metallic hydrogen, finding that it may represent a new type of ordered quantum fluid. Specifically,
 we show that liquid metallic hydrogen cannot be categorized exclusively as a superconductor or superfluid. We predict that, in the presence of a magnetic field,
liquid metallic hydrogen will exhibit several phase transitions to ordered states, ranging from superconductors to superfluids
click here to see the cover page of 7th Oct Nature issue 
click here to see the an article on it in Physics World
Research highlight in the first issue of Nature Physics describing my recent PRL paper
Article on our recent research on this topic in  PhysicsWeb.org

Egor Babaev,  Ludvig D. Faddeev and Antti J. Niemi
cond-mat/0106152
Phys. Rev. B 65, 100512(R) (2002)
"Hidden symmetry and knot solitons in a charged two-condensate Bose system" 
We show that a charged two-condensate Ginzburg-Landau model or equivalently a Gross-Pitaevskii functional for two charged Bose condensates, can be mapped
onto a version of the nonlinear O(3) $\sigma$-model. This implies in particular that such a system possesses a hidden $O(3)$ symmetry that allows for the
 formation of stable knotted solitons.
(For some links on knotted solitons follow  this link )
Fetch citation of this paper in field-theoretic literature (from SPIRES)


Egor Babaev
cond-mat/0111192
Phys. Rev. Lett. 89, 067001 (2002)
"Vortices with Fractional Flux in Two-Gap Superconductors and in Extended Faddeev Model" 
We discuss linear topological defects allowed in two-gap superconductors and equivalent extended Faddeev model. We show that, in these systems, there exist vortices
 which carry an arbitrary fraction of magnetic flux quantum. Besides that, we discuss topological defects which do not carry magnetic flux and describe features of ordinary
 one-magnetic-flux-quantum vortices in the two-gap system. The results could be relevant for the newly discovered two-band superconductor MgB2


Eivind Smorgrav, Egor Babaev, Jo Smiseth,  Asle Sudbo
(cond-mat/0508286
 Phys. Rev. Lett. 95, 135301 (2005)
"Observation of a metallic superfluid in a numerical experiment"
We report the observation, in Monte Carlo simulations, of a novel type of quantum ordered state: {\it the metallic superfluid}. The metallic superfluid features ohmic resistance
 to counter-flows of protons and electrons, while featuring dissipationless co-flows of electrons and protons. One of the candidates for a physical realization of this remarkable
state of matter is hydrogen or its isotopes under high compression. This adds another potential candidate to the presently known quantum dissipationless states, namely superconductors,
 superfluid liquids and vapours, and supersolids.


E. Babaev (hep-th/9909052)
(Int. J. Mod. Phys  A  16  1175 (2001).
"Nonlinear sigma model approach for phase disorder transitions in chiral Gross-Neveu, Nambu-Jona-Lasinio
 models and strong-coupling  superconductors "
Fetch citation of this paper in field-theoretic literature (from SPIRES)

Egor Babaev and J. Martin Speight 
cond-mat/0411681
Phys. Rev. B in print
"Thermodynamically stable non-local vortices, vortex molecules and semi-Meissner state in neither type-I nor
type-II multicomponent superconductors"
We show that for multicomponent Ginzburg-Landau (GL) models the classification of superconductors into type-I and type-II is not sufficient. We obtain solutions representing
thermodynamically stable vortex excitations  in the two-component GL model which feature (i) non-monotonic interaction, (ii) for an n-quanta vortex, a non-monotonic ratio
E(n)/n where E(n) is the energy per unit length, (iii) energetic preference for non-axisymmetric  vortex states, ``vortex molecules". One physical consequence of the existence
of these vortices is a first order transition into a "semi-Meissner" state: an inhomogeneous state of a mixture of domains of two-gap Meissner  state and vortex clusters,
where one of the order parameters is suppressed.

E. Babaev
cond-mat/0106360
Phys. Rev. Lett. 88 17702 (2002)
"Dual neutral variables and knotted solitons in triplet superconductors"

E. Babaev
cond-mat/0404078
 Phys. Rev. Lett. 94, 137001 (2005)  
"Fractional-flux vortices and spin superfluidity in triplet superconductor"
We discuss a novel type of fractional flux vortices along with integer flux vortices in Kosterlitz-Thouless transitions in a triplet superconductor. We show that under certain conditions
a spin-triplet superconductor should exhibit a novel state  of  spin superfluidity  without superconductivity

E. Babaev Phys. Rev. D 62, 074020 (2000)(hep-ph/0006087)
"Nonlinear sigma model approach for chiral fluctuations and symmetry breakdown in Nambu-Jona-Lasinio model"

J. Smiseth, E. Smorgrav, E. Babaev, Asle Sudbo
"Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor""
 (cond-mat/0411761)
Phys.Rev. B71 214509  (2005)

E. Babaev Phys. Lett. B497 323 (2001)
(hep-th/9907089) 
"Mass generation without symmetry breakdown in the  Chiral Gross-Neveu Model  at finite temperature and finite N ".
see article confirming the  existence of the pseudogap in this model n lattice simulations:
 S. Hands, J. Kogut  C.Strouthos  "The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at nonzero temperature" Phys. Lett. B. 515 (2001) 407

E. Dahl, E. Babaev, A.Sudbo
 "Hidden vortex lattices in a thermally paired superfluid"
arXiv:0807.0233

E. Dahl, E. Babaev, A.Sudbo
"Unusual states of vortex matter in mixtures of Bose--Einstein Condensates on rotating optical lattices"
arXiv:0810.3833


Fractional vortices (Fractional flux vortices) The first conjecture of possiblity of pseudgap states in QCD
Knotted solitons (knot solitons)
Semi-Meissner state
possible spin superfluid state in superconductors
Vortex sublattice melting transition