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Ferroelectric capacitor

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In a short-circuited ferroelectric capacitor with a metal-ferroelectric-metal (MFM) structure, a charge distribution of screening charges forms at the metal-ferroelectric interface so as to screen the electric displacement of the ferroelectric. Due to these screening charges, there is a voltage drop
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needed to flip the memory cell to the opposite state is measured and the previous state of the cell is revealed. This means that the read operation destroys the memory cell state, and has to be followed by a corresponding write operation, in order to write the bit back. This makes it similar to (now
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material. In contrast, traditional capacitors are based on dielectric materials. Ferroelectric devices are used in digital electronics as part of
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across the ferroelectric capacitor with screening in the electrode layer that can be obtained using the Thomas-Fermi approach as follows:
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Dawber; et al. (2003). "Depolarization corrections to the coercive field in thin-film ferroelectrics".
340:{\displaystyle E_{e}={\frac {\epsilon _{f}}{\epsilon _{e}}}E_{f}-{\frac {4\pi }{\epsilon _{e}}}P_{s}} 444: 417: 474: 42:
In memory applications, the stored value of a ferroelectric capacitor is read by applying an
500: 350: 8: 671: 52: 648: 612: 136: 644: 34: 652: 600: 28: 640: 595: 24: 47: 43: 665: 241:{\displaystyle E_{f}={\frac {V+8\pi P_{s}a}{d+\epsilon _{f}\left(2a\right)}}} 20: 347:
are the electric fields in the film and electrode at the interface,
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are the dielectric constants of the film and the metal electrode.
31:, or in analog electronics as tunable capacitors (varactors). 580:{\displaystyle V=E_{f}d\Rightarrow E_{f}={\frac {V}{d}}} 531: 503: 477: 447: 420: 380: 353: 254: 159: 139: 72: 124:{\displaystyle V=E_{f}d+E_{e}\left(2\lambda \right)} 407:{\displaystyle a={\frac {\lambda }{\epsilon _{e}}}} 579: 515: 489: 460: 433: 406: 366: 339: 240: 145: 123: 663: 33: 664: 630: 38:Schematic of a ferroelectric capacitor 624: 13: 14: 688: 606: 374:is the spontaneous polarization, 551: 1: 618: 461:{\displaystyle \epsilon _{e}} 434:{\displaystyle \epsilon _{f}} 7: 645:10.1088/0953-8984/15/24/106 589: 10: 693: 490:{\displaystyle \lambda =0} 523:the equation reduces to: 497:or for thick films, with 471:With perfect electrodes, 58: 677:Ferroelectric materials 153:is the film thickness, 17:Ferroelectric capacitor 581: 517: 516:{\displaystyle d\gg a} 491: 462: 435: 408: 368: 341: 242: 147: 125: 39: 633:J Phys Condens Matter 582: 518: 492: 463: 436: 409: 369: 367:{\displaystyle P_{s}} 342: 243: 148: 126: 37: 529: 501: 475: 445: 418: 378: 351: 252: 157: 137: 70: 53:ferrite core memory 577: 513: 487: 458: 431: 404: 364: 337: 238: 143: 121: 40: 601:Ferroelectric RAM 575: 402: 325: 290: 236: 146:{\displaystyle d} 29:ferroelectric RAM 684: 657: 656: 628: 596:Ferroelectricity 586: 584: 583: 578: 576: 568: 563: 562: 547: 546: 522: 520: 519: 514: 496: 494: 493: 488: 467: 465: 464: 459: 457: 456: 440: 438: 437: 432: 430: 429: 413: 411: 410: 405: 403: 401: 400: 388: 373: 371: 370: 365: 363: 362: 346: 344: 343: 338: 336: 335: 326: 324: 323: 314: 306: 301: 300: 291: 289: 288: 279: 278: 269: 264: 263: 247: 245: 244: 239: 237: 235: 234: 230: 218: 217: 201: 197: 196: 174: 169: 168: 152: 150: 149: 144: 130: 128: 127: 122: 120: 116: 104: 103: 88: 87: 46:. The amount of 692: 691: 687: 686: 685: 683: 682: 681: 662: 661: 660: 629: 625: 621: 609: 592: 567: 558: 554: 542: 538: 530: 527: 526: 502: 499: 498: 476: 473: 472: 452: 448: 446: 443: 442: 425: 421: 419: 416: 415: 396: 392: 387: 379: 376: 375: 358: 354: 352: 349: 348: 331: 327: 319: 315: 307: 305: 296: 292: 284: 280: 274: 270: 268: 259: 255: 253: 250: 249: 223: 219: 213: 209: 202: 192: 188: 175: 173: 164: 160: 158: 155: 154: 138: 135: 134: 109: 105: 99: 95: 83: 79: 71: 68: 67: 61: 12: 11: 5: 690: 680: 679: 674: 659: 658: 622: 620: 617: 616: 615: 613:FeRAM Tutorial 608: 607:External links 605: 604: 603: 598: 591: 588: 574: 571: 566: 561: 557: 553: 550: 545: 541: 537: 534: 512: 509: 506: 486: 483: 480: 455: 451: 428: 424: 399: 395: 391: 386: 383: 361: 357: 334: 330: 322: 318: 313: 310: 304: 299: 295: 287: 283: 277: 273: 267: 262: 258: 233: 229: 226: 222: 216: 212: 208: 205: 200: 195: 191: 187: 184: 181: 178: 172: 167: 163: 142: 119: 115: 112: 108: 102: 98: 94: 91: 86: 82: 78: 75: 60: 57: 44:electric field 9: 6: 4: 3: 2: 689: 678: 675: 673: 670: 669: 667: 654: 650: 646: 642: 638: 634: 627: 623: 614: 611: 610: 602: 599: 597: 594: 593: 587: 572: 569: 564: 559: 555: 548: 543: 539: 535: 532: 524: 510: 507: 504: 484: 481: 478: 469: 453: 449: 426: 422: 397: 393: 389: 384: 381: 359: 355: 332: 328: 320: 316: 311: 308: 302: 297: 293: 285: 281: 275: 271: 265: 260: 256: 231: 227: 224: 220: 214: 210: 206: 203: 198: 193: 189: 185: 182: 179: 176: 170: 165: 161: 140: 131: 117: 113: 110: 106: 100: 96: 92: 89: 84: 80: 76: 73: 65: 56: 54: 49: 45: 36: 32: 30: 26: 25:ferroelectric 22: 18: 636: 632: 626: 525: 470: 132: 66: 62: 41: 16: 15: 639:(24): 393. 23:based on a 672:Capacitors 666:Categories 619:References 51:obsolete) 653:250818321 552:⇒ 508:≫ 479:λ 450:ϵ 423:ϵ 394:ϵ 390:λ 317:ϵ 312:π 303:− 282:ϵ 272:ϵ 211:ϵ 186:π 114:λ 21:capacitor 590:See also 651:  441:& 414:, and 59:Theory 48:charge 649:S2CID 133:Here 19:is a 248:and 641:doi 668:: 647:. 637:15 635:. 655:. 643:: 573:d 570:V 565:= 560:f 556:E 549:d 544:f 540:E 536:= 533:V 511:a 505:d 485:0 482:= 454:e 427:f 398:e 385:= 382:a 360:s 356:P 333:s 329:P 321:e 309:4 298:f 294:E 286:e 276:f 266:= 261:e 257:E 232:) 228:a 225:2 221:( 215:f 207:+ 204:d 199:a 194:s 190:P 183:8 180:+ 177:V 171:= 166:f 162:E 141:d 118:) 111:2 107:( 101:e 97:E 93:+ 90:d 85:f 81:E 77:= 74:V

Index

capacitor
ferroelectric
ferroelectric RAM

electric field
charge
ferrite core memory
Ferroelectricity
Ferroelectric RAM
FeRAM Tutorial
doi
10.1088/0953-8984/15/24/106
S2CID
250818321
Categories
Capacitors
Ferroelectric materials

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