{"id":442,"date":"2013-12-07T23:15:00","date_gmt":"2013-12-07T23:15:00","guid":{"rendered":"http:\/\/web.unideb.hu\/zerdelyi\/?page_id=442"},"modified":"2024-02-16T14:59:40","modified_gmt":"2024-02-16T14:59:40","slug":"home","status":"publish","type":"page","link":"http:\/\/web.unideb.hu\/zerdelyi\/","title":{"rendered":"Welcome to my website"},"content":{"rendered":"<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" style=\"float: right; margin-left: 15px; margin-right: 15px;\" src=\"http:\/\/web.unideb.hu\/zerdelyi\/wp-content\/uploads\/Zoltan-Erdelyi-office.jpg\" alt=\"Zolt\u00e1n ERD\u00c9LYI in his office\" width=\"369\" height=\"247\" \/>I am the head of the Department of Solid State Physics at the University of Debrecen (Hungary).<\/p>\n<p style=\"text-align: justify;\">I graduated at the University of Lajos Kossuth (Debrecen, Hungary) in 1998. In 2001, I received my PhD in Materials Science from the University of Aix-Merseille III. In 2002, I received my second PhD degree in Physics specialized to Solid State Physics from the University of Debrecen. In 2010, I obtained my Habilitation in Physics from the University of Debrecen (Hungary). I was awarded the title of Doctor of the Academy (DSc) (Hungarian Academy of Sciences, Hungary) in 2017. (<a title=\"Curriculum Vitae\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/curriculum-vitae\/\">Curriculum Vitae<\/a>)<\/p>\n<p style=\"text-align: justify;\">My research filed has been focusing mainly on interface related phenomena in nano-materials, such as multilayers and thin films. My work includes theoretical, computer simulation and experimental activities. At the beginning of my carrier I worked on diffusion and surface segregation. Then I gradually turned towards reactive-diffusion, i.e. solid state reaction. Now, I still work on reactive-diffusion in materials of high industrial potential and not only in planar but curved (spherical and cylindrical) geometries. Meantime, our Atomic Layer Deposition (ALD) reactor has been installed and on the basis of this technique I am building up a new field which is expected to be even closer to applications.<\/p>\n<table style=\"background-color: #f7f5e7; border: 10px solid #f7f5e7;\" border=\"10\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">\n<h2>Some selected topics and publications<\/h2>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"background-color: #f7f5e7; border: 10px solid #f7f5e7;\" border=\"10\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>\n<h3><img loading=\"lazy\" decoding=\"async\" style=\"float: left; margin-left: 15px; margin-right: 15px;\" src=\"http:\/\/web.unideb.hu\/zerdelyi\/wp-content\/uploads\/sharpening-atp.jpg\" alt=\"Tomographic reconstruction with analysis cylinder. Ni and Cu atoms are represented by blue (darker) and yellow (brighter) pixels, respectively. The scale bar on the left is 10 nm long. To compensate local roughness or misalignment, the analysis cylinder has to be tilted. Below, from left to right are the 30at%, 50at%, and 70at% isoconcentration surfaces used to determine the local composition gradient.\" width=\"100\" height=\"169\" \/>Interface Sharpening\u00a0in Miscible Alloys<\/h3>\n<p style=\"text-align: justify;\">We observed first by computer simulations that diffuse interfaces sharpen rather than broaden in completely miscible ideal binary systems. This was shown experimentally in situ during heat treatments at gradually increasing temperatures by scattering of synchrotron radiation in coherent Mo\/V multilayers containing initially diffuse interfaces. To observe the sharpening by a &#8216;direct&#8217; method which is able to show the atoms in the real 3D space, interfaces of Ni\/Cu multilayers were studied by atom probe tomography. This effect provides a useful tool for the improvement of interfaces and offers a way to fabricate better x-ray or neutron mirrors, microelectronic devices, or multilayers with giant magnetic resistance.<\/p>\n<p><span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Sladecek M, Stadler Lorenz-M, Zizak I, Langer GA, Kis-Varga M, Beke DL, Sepiol B<br class=\"none\" \/><em>Transient Interface Sharpening in Miscible Alloys<\/em><br class=\"none\" \/><strong>SCIENCE<\/strong> 306: pp. 1913-1915. (2004) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:ErdelyiScience2004\">Full text<\/a><\/p>\n<p><span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Szab\u00f3 IA, Beke DL<br class=\"none\" \/><em>Interface sharpening instead of broadening by diffusion in ideal binary alloys<\/em><br class=\"none\" \/><strong>PHYSICAL REVIEW LETTERS<\/strong> 89:(16) Paper 165901. 4 p. (2002) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:ErdelyiPRL2001\">Full text<\/a><\/p>\n<p>Balogh Z, Chellali MR, Greiwe GH, Schmitz G, <span style=\"text-decoration: underline;\">Erdelyi Z<\/span><br class=\"none\" \/><em>Interface sharpening in miscible Ni\/Cu multilayers studied by atom probe tomography<\/em><br class=\"none\" \/><strong>APPLIED PHYSICS LETTERS<\/strong> 99:(18) Paper 181902. (2011) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:BaloghAPL2011\">Full text<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"background-color: #f7f5e7; border: 10px solid #f7f5e7;\" border=\"10\">\n<tbody>\n<tr>\n<td>\n<h3><img loading=\"lazy\" decoding=\"async\" style=\"float: right; margin-left: 15px; margin-right: 15px;\" src=\"http:\/\/web.unideb.hu\/zerdelyi\/wp-content\/uploads\/spherical.jpg\" alt=\"Profiles of compositions of vacancies and A atoms, as well as hydrostatic stress (top panel), together with absolute values of partial fluxes (bottom panel)\" width=\"200\" height=\"166\" \/>Reactive diffusion and stresses in spherical geometry<\/h3>\n<p style=\"text-align: justify;\">We have developed a complete set of analytical equations to describe reactive diffusion in spherical core shell nanostructures. The model takes into account elastic stress, its plastic relaxation, as well as possible non-equilibrium vacancy densities. Furthermore, thermodynamic driving forces are included<br \/>\nto model formation of intermetallic product phases in intermediate composition range (<span style=\"color: #990000;\"><strong>NEW CONCEPT<\/strong><\/span>). We have applied the model to the reaction in spherical triple layers A\/B\/A and B\/A\/B, for which Schmitz et al. [Acta Mater 2009;57:2673] observed by atom probe tomography that growth rate depends on the stacking order. Comparison with experimental data have proved that significant deviations from vacancy equilibrium appear which control the stability and reaction rate of the nanometric diffusion couples.<\/p>\n<p><span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Schmitz G<br class=\"none\" \/><em>Reactive diffusion and stresses in spherical geometry<\/em><br class=\"none\" \/><strong>ACTA MATERIALIA<\/strong> 60:(4) pp. 1807-1817. (2012) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:ErdelyiActaMat2012\">Full text<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"background-color: #f7f5e7; border: 10px solid #f7f5e7;\" border=\"10\">\n<tbody>\n<tr>\n<td>\n<h3><img loading=\"lazy\" decoding=\"async\" style=\"float: left; margin-left: 15px; margin-right: 15px;\" src=\"http:\/\/web.unideb.hu\/zerdelyi\/wp-content\/uploads\/solid-state-reaction.jpg\" alt=\"Section of an APT measurement after annealing the specimen for 5 h at 438 K. A well-developed silicide layer is visible at the bottom. Si segregation to the free surface and at the Cu\/Cu3Si interface appears, as well as Si-rich stripes in the Cu (most probably grain boundaries). A sketch of the measurement geometry is shown on the right.\" width=\"250\" height=\"213\" \/>Solid state reaction on the nanoscale<\/h3>\n<p style=\"text-align: justify;\">We have studied mainly Si based binary systems with high industrial potential, such as Ni-Si and Co-Si or Cu-Si. We have been interested in the formation of the product phases and their growth kinetics. To study the early stage of solid state reaction, besides theoretical ad computer simulation, we used a large variety of experimental techniques including synchrotron based techniques (XSW, GIXRF, EXAFS, XRD), secondary neutral mass spectrometry (SNMS), XPS, AES, TEM, atom probe tomography (APT).<\/p>\n<p>Parditka Bence, Verezhak Mariana, Balogh Zolt\u00e1n, Csik Attila, Langer G\u00e1bor A, Beke Dezs? L, Ibrahim Mohammed, Schmitz Guido, <span style=\"text-decoration: underline;\">Erd\u00e9lyi Zolt\u00e1n<\/span><br \/>\n<em>Phase growth in an amorphous Si\u2013Cu system, as shown by a combination of SNMS, XPS, XRD and APT techniques<\/em><br \/>\n<strong>ACTA MATERIALIA<\/strong> 61:(19) pp. 7173-7179. (2013) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:ParditkaActaMat2013\">Full text<\/a><\/p>\n<p>Lakatos A, Langer GA, Csik A, Cserh\u00e1ti C, Kis-Varga M, Dar\u00f3czi L, Katona GL, Erd\u00e9lyi Z, Erd\u00e9lyi G, Vad K, Beke DL<br \/>\n<em>Nanoscale investigations of shift of individual interfaces in temperature induced processes of Ni-Si system by secondary neutral mass spectrometry<\/em><br \/>\n<strong>APPLIED PHYSICS LETTERS<\/strong> 97:(23) Paper 233103. 3 p. (2010) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:LakatosAPL2011\">Full text<\/a><\/p>\n<p><span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Beke DL, Taranovskyy A<br class=\"none\" \/><em>Dissolution and off-stoichiometric formation of compound layers in solid state reactions<\/em><br class=\"none\" \/><strong>APPLIED PHYSICS LETTERS<\/strong> 92:(13) p. Art.No. 133110. (2008) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:ErdelyiAPL2008\">Full text<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table style=\"background-color: #f7f5e7; border: 10px solid #f7f5e7;\" border=\"10\">\n<tbody>\n<tr>\n<td>\n<h3>Anomalous diffusion<img loading=\"lazy\" decoding=\"async\" style=\"float: right; margin-left: 15px; margin-right: 15px;\" src=\"http:\/\/web.unideb.hu\/zerdelyi\/wp-content\/uploads\/parabolic_law.gif\" alt=\"Anomalous diffusion\" width=\"250\" height=\"183\" \/><\/h3>\n<p style=\"text-align: justify;\">It is known from Fick\u2019s phenomenological laws that, during annealing of a diffusion couple, the $$p$$ displacement of a plane with constant composition (or an abrupt interface) is proportional to $$t^{1\/2}$$ or $$p^2 \\propto\u0003 t$$ (Fickian or normal shift kinetics with t equal to time). This is related to Einstein\u2019s relation $$\\langle R^2 \\rangle \\propto t$$, i.e., the mean square displacement of particles is proportional to the time, since Brownian motion of particles takes place in diffusion processes in ideal or dilute solids (even in other cases, a random walk or Brownian \u2019part\u2019 is included in diffusion coefficients). Fick&#8217;s equations, however, do not allow modelling of a large number of diffusion phenomena. Departure from Brownian motion appears to be very common, so that anomalous diffusion would actually appear as normal. We have investigated diffusion on the nanoscale by both theoretically (including computer simulations) and experimentally and found numerous examples for anomalous kinetics.<\/p>\n<p>Balogh Z, <span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Beke DL, Langer GA, Csik A, Boyen Hans-Gerd, Wiedwald U, Ziemann P, Portavoce A, Girardeaux Ch<br class=\"none\" \/><em>Transition from anomalous kinetics toward Fickian diffusion for Si dissolution into amorphous Ge<\/em><br class=\"none\" \/><strong>APPLIED PHYSICS LETTERS<\/strong> 92:(14) p. Art.No. 143104. (2008) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:BaloghAPL2008\">Full text<\/a><\/p>\n<p>Katona GL, <span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Beke DL, Dietrich Ch, Weigl F, Boyen H-G, Koslowski B, Ziemann P<br class=\"none\" \/><em>Experimental evidence for a nonparabolic interface shift on the nanoscale during the dissolution of Ni into bulk Au (111)<\/em><br class=\"none\" \/><strong>PHYSICAL REVIEW B <\/strong>71: pp. 115421-1-5. (2005) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:KatonaPRB2005\">Full text<\/a><\/p>\n<p>Beke DL, <span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span><br class=\"none\" \/><em>Resolution of the diffusional paradox predicting infinitely fast kinetics on the nanosale<\/em><br class=\"none\" \/><strong>PHYSICAL REVIEW B<\/strong> 73: pp. 035426-1-7. (2006) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:BekePRB2006\">Full text<\/a><\/p>\n<p><span style=\"text-decoration: underline;\">Erd\u00e9lyi Z<\/span>, Katona G, Beke DL<br class=\"none\" \/><em>Nonparabolic nanoscale shift of phase boundaries in binary systems with restricted solubility<\/em><br class=\"none\" \/><strong>PHYSICAL REVIEW B<\/strong> 69: pp. 113407-1-4. (2004) <a title=\"Full text\" href=\"http:\/\/web.unideb.hu\/zerdelyi\/publications\/publications-sorted-by-impact-factor\/#cite:ErdelyiPRB692004\">Full text<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>I am the head of the Department of Solid State Physics at the University of Debrecen (Hungary). I graduated at the University of Lajos Kossuth (Debrecen, Hungary) in 1998. In 2001, I received my PhD in Materials Science from the University of Aix-Merseille III. In 2002, I received my second PhD degree in Physics specialized &hellip; <a href=\"http:\/\/web.unideb.hu\/zerdelyi\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Welcome to my website<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":10,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-442","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.1.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Welcome to my website - Zolt\u00e1n ERD\u00c9LYI<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/web.unideb.hu\/zerdelyi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Welcome to my website - Zolt\u00e1n ERD\u00c9LYI\" \/>\n<meta property=\"og:description\" content=\"I am the head of the Department of Solid State Physics at the University of Debrecen (Hungary). 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