BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//6.4.7.2//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:0-950@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20240611T110000
DTEND;TZID=Europe/Paris:20240611T120000
DTSTAMP:20240601T134322Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-ritesh-bhola-tata-mumbai/
SUMMARY:Séminaire du LPTMS : Ritesh Bhola (Tata institute\, Mumbai) - Sall
 e des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530 - 11 Juin 
 24 11:00
DESCRIPTION:\nGallai-Edmonds percolation\nRitesh Bhola (Tata institute\, Mu
 mbai)\nMaximally-packed dimer coverings (maximum matchings) of non-biparti
 te site-diluted lattices\, such as the triangular and Shastry-Sutherland l
 attices in d = 2 dimensions and the stacked-triangular and corner-sharing 
 octahedral lattices in d = 3\, generically exhibit a nonzero density of mo
 nomers (unmatched vertices). Following the construction of Ref. [1]\, we u
 se the the structure theory of Gallai and Edmonds to decompose the disorde
 red lattice into “R-type” regions which host the monomers of any maxim
 um matching\, and perfectly matched “P-type” regions from which such m
 onomers are excluded. When the density nv of quenched vacancies lies well 
 within the low-nv geometrically percolated phase of the disordered lattice
 \, we find that the random geometry of these regions exhibits rather unusu
 al Gallai-Edmonds percolation phenomena. In d = 2\, we find two\nphases se
 parated by a critical point\, namely a phase in which all R-type and P-typ
 e regions are small and a percolated phase that displays a striking lack o
 f self-averaging in the thermodynamic limit: Each sample has a single perc
 olating region which is of type P or R with respective probability fP or 1
  − fP\, where fP ≈ 0.5 independent of nv (away from the critical regio
 n). In d = 3\, apart from a phase with small R-type and P-type clusters\, 
 the thermodynamic limit exhibits four distinct percolated phases separated
  by critical points at successively lower nv. In the first such phase\, ea
 ch sample has one percolating R-type region and no such P-type region. In 
 the second\, each sample\nsimultaneously has one percolating region of eac
 h type (R and P). The third phase exhibits another interesting violation o
 f self-averaging in the thermodynamics limit: R-type regions percolate wit
 h unit probability\, while P-type regions percolate with probability fP 
 ≈ 0.5. Finally\, the lowest-nv phase is identical in character to the un
 usual percolated phase found in d = 2\, again with fP ≈ 0.5 away from th
 e transition region. These phenomena have interesting implications for the
  vacancy-induced local moment instabilities of short-range resonating vale
 nce bond spin liquid states of frustrated magnets and for the character of
  disorder-induced collective Majorana excitations of Kitaev magnets and SU
 (2) symmetric Majorana spin liquids.\n\n[1] K. Damle\, Theory of collectiv
 e topologically protected Majorana fermion excitations of networks of loca
 lized Majorana modes\, Phys. Rev. B 105\, 235118 (2022).\n\n
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20240331T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR