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Semimetal

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241:. Commonly used experimental techniques to investigate band-gap can be sensitive to many things such as the size of the band-gap, electronic structure features (direct versus indirect gap) and also the number of free charge carriers (which can frequently depend on synthesis conditions). Band-gap obtained from transport property modeling is essentially independent of such factors. Theoretical techniques to calculate the electronic structure on the other hand can often underestimate band-gap. 27: 195:, this is true at very low temperatures but at higher temperatures the carrier density increases with temperature giving rise to a semimetal-semiconductor transition. A semimetal also differs from an insulator or semiconductor in that a semimetal's conductivity is always non-zero, whereas a semiconductor has zero conductivity at zero temperature and insulators have zero conductivity even at ambient temperatures (due to a wider band gap). 250: 183:(as more electrons are shifted to the conduction band), before decreasing with intermediate temperatures and then, once again, increasing with still higher temperatures. The semimetallic state is similar to the metallic state but in semimetals both holes and electrons contribute to electrical conduction. With some semimetals, like 178:
and electrons), both the carrier mobilities and carrier concentrations will contribute to the conductivity and these have different temperature dependencies. Ultimately, it is observed that the conductivity of insulators and semiconductors increase with initial increases in temperature above
308:, semimetals have charge carriers of both types (holes and electrons), so that one could also argue that they should be called 'double-metals' rather than semimetals. However, the charge carriers typically occur in much smaller numbers than in a real metal. In this respect they resemble 236:
VAl for example, was historically thought of as a semi-metal (with a negative gap ~ -0.1 eV) for over two decades before it was actually shown to be a small-gap (~ 0.03 eV) semiconductor using self-consistent analysis of the transport properties, electrical resistivity and
332:. They also have small effective masses for both holes and electrons because the overlap in energy is usually the result of the fact that both energy bands are broad. In addition they typically show high 488:
Anand, Shashwat; Gurunathan, Ramya; Soldi, Thomas; Borgsmiller, Leah; Orenstein, Rachel; Snyder, Jeff (2020). "Thermoelectric transport of semiconductor full-Heusler VFe2Al".
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Classification of a material either as a semiconductor or a semimetal can become tricky when it has extremely small or slightly negative band-gaps. The well-known compound Fe
146:) than that of a semiconductor (e.g., < 4 eV). Because of the slight overlap between the conduction and valence bands, semimetals have no band gap and a small 601:
Reed, Evan J.; Manaa, M. Riad; Fried, Laurence E.; Glaesemann, Kurt R.; Joannopoulos, J. D. (2007). "A transient semimetallic layer in detonating nitromethane".
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Wang, Yang; N. Mansour; A. Salem; K.F. Brennan & P.P. Ruden (1992). "Theoretical study of a potential low-noise semimetal-based avalanche photodetector".
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are typically not considered metalloids. Transient semimetal states have been reported at extreme conditions. It has been recently shown that some
154:. A metal, by contrast, has an appreciable density of states at the Fermi level because the conduction band is partially filled. 297:
The figure is schematic, showing only the lowest-energy conduction band and the highest-energy valence band in one dimension of
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In a semimetal, the bottom of the conduction band is typically situated in a different part of momentum space (at a different
472: 170:. With a metal, the conductivity decreases with increases in temperature (due to increasing interaction of electrons with 702: 203:
To classify semiconductors and semimetals, the energies of their filled and empty bands must be plotted against the
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more closely. This explains why the electrical properties of semimetals are partway between those of metals and
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but the terms semimetal and metalloid are not synonymous. Semimetals, in contrast to metalloids, can also be
138:. In insulators and semiconductors the filled valence band is separated from an empty conduction band by a 301:(or k-space). In typical solids, k-space is three-dimensional, and there are an infinite number of bands. 253:
This diagram illustrates a direct semiconductor (A), an indirect semiconductor (B), and a semimetal (C).
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the conduction of electrons depends on the periodicity of the crystal lattice in different directions.
81: 39: 191:, there is a temperature-independent carrier density below room temperature (as in metals) while, in 174:(lattice vibrations)). With an insulator or semiconductor (which have two types of charge carriers – 111: 31: 309: 325: 167: 127: 89: 69: 637: 263: 438: 108: 649: 610: 567: 532: 329: 289: 8: 443: 401: 337: 238: 162:
The insulating/semiconducting states differ from the semimetallic/metallic states in the
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As semimetals have fewer charge carriers than metals, they typically have lower
80:; however, in semiconductors the bands are near enough to the Fermi level to be 433: 313: 298: 119: 691: 423: 222: 208: 180: 175: 131: 85: 73: 669: 579: 143: 115: 333: 215: 163: 151: 123: 59: 221:) than the top of the valence band. One could say that a semimetal is a 501: 418: 377: 26: 20: 661: 622: 544: 369: 107:
is a material with a small energy overlap between the bottom of the
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for a certain energy in the material listed. The shade follows the
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Filling of the electronic states in various types of materials at
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Wallace, P.R. (1947). "The Band Theory of Graphite".
229:, although they are seldom described in those terms. 636:Bubnova, Olga; Zia, Ullah Khan; Wang, Hui (2014). 689: 635: 376:. The first two (As, Sb) are also considered 16:Metal with a small negative indirect band-gap 34:. Here, height is energy while width is the 273:a semiconductor with an indirect gap (like 207:of conduction electrons. According to the 157: 467:. Academic Press, Inc. pp. 339–40. 262:a semiconductor with a direct gap (e.g. 248: 25: 557: 690: 348:The classic semimetallic elements are 319: 462: 343: 525:IEEE Journal of Quantum Electronics 68:lies inside at least one band. In 13: 336:susceptibilities and high lattice 14: 719: 198: 490:Journal of Materials Chemistry C 257:Schematically, the figure shows 629: 594: 551: 516: 481: 456: 126:, solids can be classified as 1: 449: 118:, but they do not overlap in 244: 93: 76:the Fermi level is inside a 7: 407: 36:density of available states 10: 724: 414:Charge-transfer insulators 404:can behave as semimetals. 18: 310:degenerate semiconductors 703:Condensed matter physics 638:"Semi-Metallic Polymers" 90:intrinsic semiconductors 40:Fermi–Dirac distribution 19:Not to be confused with 168:electrical conductivity 88:. "intrin." indicates 50:: no state filled). In 580:10.1103/PhysRev.71.622 463:Burns, Gerald (1985). 330:thermal conductivities 264:copper indium selenide 254: 158:Temperature dependency 124:electronic band theory 100: 46:: all states filled, 290:alkaline earth metals 252: 29: 338:dielectric constants 166:dependency of their 654:2014NatMa..13..190B 615:2008NatPh...4...72R 572:1947PhRv...71..622W 537:1992IJQE...28..507W 496:(30): 10174–10184. 465:Solid State Physics 444:Solid-state physics 402:conductive polymers 320:Physical properties 239:Seebeck coefficient 114:and the top of the 82:thermally populated 502:10.1039/D0TC02659J 382:chemical compounds 344:Classic semimetals 280:a semimetal (like 255: 101: 84:with electrons or 474:978-0-12-146070-9 386:mercury telluride 304:Unlike a regular 148:density of states 134:, semimetals, or 98: 715: 682: 681: 662:10.1038/nmat3824 642:Nature Materials 633: 627: 626: 623:10.1038/nphys806 598: 592: 591: 555: 549: 548: 545:10.1109/3.123280 520: 514: 513: 485: 479: 478: 460: 227:indirect bandgap 225:with a negative 205:crystal momentum 94: 723: 722: 718: 717: 716: 714: 713: 712: 688: 687: 686: 685: 634: 630: 599: 595: 560:Physical Review 556: 552: 521: 517: 486: 482: 475: 461: 457: 452: 410: 364:(gray tin) and 346: 322: 295: 269: 247: 235: 201: 160: 122:. According to 99: 67: 24: 17: 12: 11: 5: 721: 711: 710: 705: 700: 684: 683: 628: 603:Nature Physics 593: 566:(9): 622–634. 550: 531:(2): 507–513. 515: 480: 473: 454: 453: 451: 448: 447: 446: 441: 436: 434:Mott insulator 431: 426: 421: 416: 409: 406: 345: 342: 321: 318: 314:semiconductors 299:momentum space 294: 293: 278: 271: 267: 259: 246: 243: 233: 200: 199:Classification 197: 159: 156: 132:semiconductors 120:momentum space 74:semiconductors 65: 15: 9: 6: 4: 3: 2: 720: 709: 706: 704: 701: 699: 696: 695: 693: 679: 675: 671: 667: 663: 659: 655: 651: 647: 643: 639: 632: 624: 620: 616: 612: 608: 604: 597: 589: 585: 581: 577: 573: 569: 565: 561: 554: 546: 542: 538: 534: 530: 526: 519: 511: 507: 503: 499: 495: 491: 484: 476: 470: 466: 459: 455: 445: 442: 440: 437: 435: 432: 430: 427: 425: 424:Hubbard model 422: 420: 417: 415: 412: 411: 405: 403: 399: 395: 391: 387: 383: 379: 375: 371: 367: 363: 359: 355: 351: 341: 339: 335: 331: 327: 317: 315: 311: 307: 302: 300: 291: 287: 283: 279: 276: 272: 265: 261: 260: 258: 251: 242: 240: 230: 228: 224: 223:semiconductor 220: 218: 212: 210: 209:Bloch theorem 206: 196: 194: 190: 186: 182: 181:absolute zero 177: 173: 169: 165: 155: 153: 149: 145: 141: 137: 133: 129: 125: 121: 117: 113: 110: 106: 97: 91: 87: 83: 79: 75: 71: 64: 61: 57: 53: 49: 45: 41: 37: 33: 28: 22: 648:(2): 190–4. 645: 641: 631: 609:(1): 72–76. 606: 602: 596: 563: 559: 553: 528: 524: 518: 493: 489: 483: 464: 458: 388:(HgTe), and 347: 323: 303: 296: 256: 231: 216: 213: 202: 161: 116:valence band 104: 102: 62: 55: 47: 43: 334:diamagnetic 164:temperature 152:Fermi level 60:Fermi level 32:equilibrium 692:Categories 450:References 419:Half-metal 384:, such as 378:metalloids 326:electrical 128:insulators 109:conduction 70:insulators 56:semimetals 21:Half-metal 698:Materials 678:205409397 510:225448662 370:allotrope 245:Schematic 105:semimetal 670:24317188 588:53633968 439:Nonmetal 408:See also 398:graphite 366:graphite 354:antimony 288:and the 286:graphite 284:(Sn) or 189:antimony 140:band gap 78:band gap 650:Bibcode 611:Bibcode 568:Bibcode 533:Bibcode 394:bismuth 358:bismuth 350:arsenic 275:silicon 266:(CuInSe 219:-vector 193:bismuth 185:arsenic 172:phonons 150:at the 708:Metals 676:  668:  586:  508:  471:  396:, and 374:carbon 136:metals 52:metals 674:S2CID 584:S2CID 506:S2CID 429:Metal 368:, an 306:metal 277:(Si)) 176:holes 86:holes 48:white 44:black 666:PMID 469:ISBN 360:, α- 328:and 187:and 112:band 96:edit 72:and 58:the 54:and 658:doi 619:doi 576:doi 541:doi 498:doi 390:tin 372:of 362:tin 282:tin 694:: 672:. 664:. 656:. 646:13 644:. 640:. 617:. 605:. 582:. 574:. 564:71 562:. 539:. 529:28 527:. 504:. 492:. 392:, 356:, 352:, 340:. 316:. 292:). 270:)) 144:eV 130:, 103:A 92:. 680:. 660:: 652:: 625:. 621:: 613:: 607:4 590:. 578:: 570:: 547:. 543:: 535:: 512:. 500:: 494:8 477:. 268:2 234:2 217:k 66:F 63:E 42:( 23:.

Index

Half-metal

equilibrium
density of available states
Fermi–Dirac distribution
metals
semimetals
Fermi level
insulators
semiconductors
band gap
thermally populated
holes
intrinsic semiconductors
edit
conduction
band
valence band
momentum space
electronic band theory
insulators
semiconductors
metals
band gap
eV
density of states
Fermi level
temperature
electrical conductivity
phonons

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